Search results for "nonlinear Schrödinger equation"

Hits ?▲	Authors	Title	Venue	Year	Link	Author keywords
3	C. Budd, Othmar Koch, Ewa Weinmüller	Computation of Self-similar Solution Profiles for the Nonlinear Schrödinger Equation.	Computing	2006	DBLP DOI BibTeX RDF	Nonlinear Schrödinger equation, blow-up solutions, essential singularity, self-similarity, error estimation, collocation methods
3	Biao Li, Yong Chen, Qi Wang	Exact analytical solutions to the nonlinear Schrödinger equation model.	ISSAC	2005	DBLP DOI BibTeX RDF	nonlinear Schrödinger equation, soliton propagation and interaction, symbolic computation, soliton
2	E. V. Zemlyanaya, I. V. Barashenkov, N. V. Alexeeva	Temporally-Periodic Solitons of the Parametrically Driven Damped Nonlinear Schrödinger Equation.	NAA	2008	DBLP DOI BibTeX RDF
1	Weizhu Bao, Yongyong Cai	Uniform Error Estimates of Finite Difference Methods for the Nonlinear Schrödinger Equation with Wave Operator.	SIAM J. Numerical Analysis	2012	DBLP DOI BibTeX RDF
1	Yiqiang Xu, Luming Zhang	Alternating direction implicit method for solving two-dimensional cubic nonlinear Schrödinger equation.	Computer Physics Communications	2012	DBLP DOI BibTeX RDF
1	Aly R. Seadawy	Exact solutions of a two-dimensional nonlinear Schrödinger equation.	Appl. Math. Lett.	2012	DBLP DOI BibTeX RDF
1	John D. Carter	Plane-wave solutions of a dissipative generalization of the vector nonlinear Schrödinger equation.	Mathematics and Computers in Simulation	2012	DBLP DOI BibTeX RDF
1	Houria Triki, Thiab R. Taha	Solitary wave solutions for a higher order nonlinear Schrödinger equation.	Mathematics and Computers in Simulation	2012	DBLP DOI BibTeX RDF
1	Ronald M. Caplan, Ricardo Carretero-González, Panayotis G. Kevrekidis, Boris A. Malomed	Existence, stability, and scattering of bright vortices in the cubic-quintic nonlinear Schrödinger equation.	Mathematics and Computers in Simulation	2012	DBLP DOI BibTeX RDF
1	Panos Stinis	Numerical Computation of Solutions of the Critical Nonlinear Schrödinger Equation after the Singularity.	Multiscale Modeling & Simulation	2012	DBLP DOI BibTeX RDF
1	L. Kavitha, N. Akila, A. Prabhu, O. Kuzmanovska-Barandovska, D. Gopi	Exact solitary solutions of an inhomogeneous modified nonlinear Schrödinger equation with competing nonlinearities.	Mathematical and Computer Modelling	2011	DBLP DOI BibTeX RDF
1	Huajun Zhu, Songhe Song, Yifa Tang	Multi-symplectic wavelet collocation method for the nonlinear Schrödinger equation and the Camassa-Holm equation.	Computer Physics Communications	2011	DBLP DOI BibTeX RDF
1	Moussa Smadi, Derradji Bahloul	A compact split step Padé scheme for higher-order nonlinear Schrödinger equation (HNLS) with power law nonlinearity and fourth order dispersion.	Computer Physics Communications	2011	DBLP DOI BibTeX RDF
1	S. Demirbas, A. Eden	Further scattering results for almost cubic nonlinear Schrödinger equation.	Appl. Math. Lett.	2011	DBLP DOI BibTeX RDF
1	Shanshan Wang, Luming Zhang, Ran Fan	Discrete-time orthogonal spline collocation methods for the nonlinear Schrödinger equation with wave operator.	J. Computational Applied Mathematics	2011	DBLP DOI BibTeX RDF
1	Nikolai A. Kudryashov, Pavel N. Ryabov, Dmitry I. Sinelshchikov	Comment on "New types of exact solutions for nonlinear Schrodinger equation with cubic nonlinearity".	J. Computational Applied Mathematics	2011	DBLP DOI BibTeX RDF
1	A. Aydin, B. Karasözen	Lobatto IIIA-IIIB discretization of the strongly coupled nonlinear Schrödinger equation.	J. Computational Applied Mathematics	2011	DBLP DOI BibTeX RDF
1	K. W. Chow, T. W. Ng	Periodic solutions of a derivative nonlinear Schrödinger equation: Elliptic integrals of the third kind.	J. Computational Applied Mathematics	2011	DBLP DOI BibTeX RDF
1	Abdelhalim Ebaid, S. M. Khaled	New types of exact solutions for nonlinear Schrödinger equation with cubic nonlinearity.	J. Computational Applied Mathematics	2011	DBLP DOI BibTeX RDF
1	Ronald M. Caplan, Ricardo Carretero-González	Numerical Stability of Explicit Runge-Kutta Finite Difference Schemes for the Nonlinear Schrödinger Equation	CoRR	2011	DBLP BibTeX RDF
1	Jun-Lang Chen, Chao-Qing Dai, Xiao-Gang Wang	Domain wall arrays, fronts, and bright and dark solitons in a generalized derivative nonlinear Schrödinger equation.	Computers & Mathematics with Applications	2011	DBLP DOI BibTeX RDF
1	Yang Liu	Exact solutions to nonlinear Schrödinger equation with variable coefficients.	Applied Mathematics and Computation	2011	DBLP DOI BibTeX RDF
1	E. M. E. Zayed, M. A. M. Abdelaziz	Exact solutions for the nonlinear Schrödinger equation with variable coefficients using the generalized extended tanh-function, the sine-cosine and the exp-function methods.	Applied Mathematics and Computation	2011	DBLP DOI BibTeX RDF
1	Emna Ezzoug, Wided Kechiche, Ezzeddine Zahrouni	Finite dimensional global attractor for a semi-discrete nonlinear Schrödinger equation with a point defect.	Applied Mathematics and Computation	2011	DBLP DOI BibTeX RDF
1	Gui-Qiong Xu	New types of exact solutions for the fourth-order dispersive cubic-quintic nonlinear Schrödinger equation.	Applied Mathematics and Computation	2011	DBLP DOI BibTeX RDF
1	Elena Zemlyanaya, Nora Alexeeva	Numerical Study of Stationary, Time-Periodic, and Quasiperiodic Two-Soliton Complexes in the Damped-Driven Nonlinear Schrödinger Equation.	MMCP	2011	DBLP DOI BibTeX RDF
1	Camille Laurent	Global Controllability and Stabilization for the Nonlinear Schrödinger Equation on Some Compact Manifolds of Dimension 3.	SIAM J. Math. Analysis	2010	DBLP DOI BibTeX RDF
1	D. Chiron, F. Rousset	The KdV/KP-I Limit of the Nonlinear Schrödinger Equation.	SIAM J. Math. Analysis	2010	DBLP DOI BibTeX RDF
1	G. Baruch, Gadi Fibich, E. Mandelbaum	Singular Solutions of the Biharmonic Nonlinear Schrödinger Equation.	SIAM Journal of Applied Mathematics	2010	DBLP DOI BibTeX RDF
1	Yaming Chen, Huajun Zhu, Songhe Song	Multi-symplectic splitting method for the coupled nonlinear Schrödinger equation.	Computer Physics Communications	2010	DBLP DOI BibTeX RDF
1	Taras I. Lakoba	Stability analysis of the split-step Fourier method on the background of a soliton of the nonlinear Schrödinger equation	CoRR	2010	DBLP BibTeX RDF
1	Jinbo Bi, Dengyuan Chen	Soliton solutions of higher-order generalized derivative nonlinear Schrödinger equation.	Computers & Mathematics with Applications	2010	DBLP DOI BibTeX RDF
1	A. R. Shehata	The traveling wave solutions of the perturbed nonlinear Schrödinger equation and the cubic-quintic Ginzburg Landau equation using the modified (G'/G)-expansion method.	Applied Mathematics and Computation	2010	DBLP DOI BibTeX RDF
1	Minbo Yang, Fukun Zhao, Yanheng Ding	Infinitely many stationary solutions of discrete vector nonlinear Schrödinger equation with symmetry.	Applied Mathematics and Computation	2010	DBLP DOI BibTeX RDF
1	S. M. Hoseini, T. R. Marchant	Evolution of solitary waves for a perturbed nonlinear Schrödinger equation.	Applied Mathematics and Computation	2010	DBLP DOI BibTeX RDF
1	Yeqiong Shi, Zhengde Dai, Donglong Li	The correct traveling wave solutions for the high-order dispersive nonlinear Schrödinger equation.	Applied Mathematics and Computation	2010	DBLP DOI BibTeX RDF
1	Ying-hui Tian, Han-lin Chen, Xi-qiang Liu	A simple direct method to find equivalence transformations of a generalized nonlinear Schrödinger equation and a generalized KdV equation.	Applied Mathematics and Computation	2010	DBLP DOI BibTeX RDF
1	Yushun Wang, Shengtai Li	New schemes for the coupled nonlinear Schrödinger equation.	Int. J. Comput. Math.	2010	DBLP DOI BibTeX RDF
1	Filiz Tascan, Ahmet Bekir	Periodic and solitary wave solutions of the attractive and repulsive nonlinear Schrödinger equation.	Int. J. Comput. Math.	2010	DBLP DOI BibTeX RDF
1	Jonatan Lenells	Dressing for a Novel Integrable Generalization of the Nonlinear Schrödinger Equation.	J. Nonlinear Science	2010	DBLP DOI BibTeX RDF
1	Magdy A. El-Tawil	The Average Solution of a Stochastic Nonlinear Schrodinger Equation under Stochastic Complex Non-homogeneity and Complex Initial Conditions.	Transactions on Computational Science	2009	DBLP DOI BibTeX RDF	Stochastic Nonlinear Schrodinger Equation, Eigenfunction Expansion, WHEP Technique, Wiener-Hermite Expansion, Perturbation
1	Walid K. Abou Salem, Catherine Sulem	Stochastic Acceleration of Solitons for the Nonlinear Schrödinger Equation.	SIAM J. Math. Analysis	2009	DBLP DOI BibTeX RDF
1	Panayotis G. Kevrekidis, D. E. Pelinovsky, A. Stefanov	Asymptotic Stability of Small Bound States in the Discrete Nonlinear Schrödinger Equation.	SIAM J. Math. Analysis	2009	DBLP DOI BibTeX RDF
1	Liviu I. Ignat, Enrique Zuazua	Numerical Dispersive Schemes for the Nonlinear Schrödinger Equation.	SIAM J. Numerical Analysis	2009	DBLP DOI BibTeX RDF
1	Nauman Raza, Sultan Sial, Shahid S. Siddiqi, Turab Lookman	Energy minimization related to the nonlinear Schrödinger equation.	J. Comput. Physics	2009	DBLP DOI BibTeX RDF
1	Lionel Rosier, Bing-Yu Zhang	Local Exact Controllability and Stabilizability of the Nonlinear Schrödinger Equation on a Bounded Interval.	SIAM J. Control and Optimization	2009	DBLP DOI BibTeX RDF
1	Zhenya Yan	Envelope solution profiles of the discrete nonlinear Schrödinger equation with a saturable nonlinearity.	Appl. Math. Lett.	2009	DBLP DOI BibTeX RDF
1	Ya-Nan Zhang, Fei Xu, Ling-ling Deng	Exact solution for nonlinear Schrödinger equation by He's frequency formulation.	Computers & Mathematics with Applications	2009	DBLP DOI BibTeX RDF
1	Li Ling-Xiao, Wang Ming-Liang	The (G'/G)-expansion method and travelling wave solutions for a higher-order nonlinear schrödinger equation.	Applied Mathematics and Computation	2009	DBLP DOI BibTeX RDF
1	Jian Zhang, Xiaoguang Li, Yonghong Wu	Remarks on the blow-up rate for critical nonlinear Schrödinger equation with harmonic potential.	Applied Mathematics and Computation	2009	DBLP DOI BibTeX RDF
1	Wen-Xiu Ma, Min Chen	Direct search for exact solutions to the nonlinear Schrödinger equation.	Applied Mathematics and Computation	2009	DBLP DOI BibTeX RDF
1	B. Dubrovin, T. Grava, C. Klein	On Universality of Critical Behavior in the Focusing Nonlinear Schrödinger Equation, Elliptic Umbilic Catastrophe and the Tritronquée Solution to the Painlevé-I Equation.	J. Nonlinear Science	2009	DBLP DOI BibTeX RDF
1	Axel Grünrock, Sebastian Herr	Low Regularity Local Well-Posedness of the Derivative Nonlinear Schrödinger Equation with Periodic Initial Data.	SIAM J. Math. Analysis	2008	DBLP DOI BibTeX RDF
1	Axel Grünrock, Sebastian Herr	Low Regularity Local Well-Posedness of the Derivative Nonlinear Schrödinger Equation with Periodic Initial Data.	SIAM J. Math. Analysis	2008	DBLP DOI BibTeX RDF
1	Francisco de la Hoz, Fernando Vadillo	An exponential time differencing method for the nonlinear Schrödinger equation.	Computer Physics Communications	2008	DBLP DOI BibTeX RDF
1	M. S. Ismail	Numerical solution of coupled nonlinear Schrödinger equation by Galerkin method.	Mathematics and Computers in Simulation	2008	DBLP DOI BibTeX RDF
1	Zhongyi Huang, Shi Jin, Peter A. Markowich, Christof Sparber	Numerical Simulation of the Nonlinear Schrödinger Equation with Multidimensional Periodic Potentials.	Multiscale Modeling & Simulation	2008	DBLP DOI BibTeX RDF
1	Alper Korkmaz, Idris Dag	A differential quadrature algorithm for simulations of nonlinear Schrödinger equation.	Computers & Mathematics with Applications	2008	DBLP DOI BibTeX RDF
1	M. S. Ismail	A fourth-order explicit schemes for the coupled nonlinear Schrödinger equation.	Applied Mathematics and Computation	2008	DBLP DOI BibTeX RDF
1	Boling Guo, Yongqian Han, Jie Xin	Existence of the global smooth solution to the period boundary value problem of fractional nonlinear Schrödinger equation.	Applied Mathematics and Computation	2008	DBLP DOI BibTeX RDF
1	Monica Visan, Xiaoyi Zhang	On the Blowup for the L2-Critical Focusing Nonlinear Schrödinger Equation in Higher Dimensions below the Energy Class.	SIAM J. Math. Analysis	2007	DBLP DOI BibTeX RDF
1	M. S. Ismail, Thiab R. Taha	A linearly implicit conservative scheme for the coupled nonlinear Schrödinger equation.	Mathematics and Computers in Simulation	2007	DBLP DOI BibTeX RDF
1	Turgut Özis, Ahmet Yildirim	Application of He's semi-inverse method to the nonlinear Schrödinger equation.	Computers & Mathematics with Applications	2007	DBLP DOI BibTeX RDF
1	Qian Liu, Yuqian Zhou	Construction of solutions with exactly k blow-up points for nonlinear Schrödinger equation with a harmonic potential.	Applied Mathematics and Computation	2007	DBLP DOI BibTeX RDF
1	Jian Wang	A note on multisymplectic Fourier pseudospectral discretization for the nonlinear Schrödinger equation.	Applied Mathematics and Computation	2007	DBLP DOI BibTeX RDF
1	Shihui Zhu, Xiaoguang Li	Sharp upper and lower bounds on the blow-up rate for nonlinear Schrödinger equation with potential.	Applied Mathematics and Computation	2007	DBLP DOI BibTeX RDF
1	Jianqing Chen, Boling Guo	Blow up solutions for one class of system of Pekar-Choquard type nonlinear Schrödinger equation.	Applied Mathematics and Computation	2007	DBLP DOI BibTeX RDF
1	Isaías Alonso-Mallo, Nuria Reguera	Local Absorbing Boundary Conditions for a Finite Element Discretization of the Cubic Nonlinear Schrödinger Equation.	World Congress on Engineering	2007	DBLP BibTeX RDF
1	Baochang Shi	Lattice Boltzmann Simulation of Some Nonlinear Complex Equations.	International Conference on Computational Science	2007	DBLP DOI BibTeX RDF	nonlinear Schrödinger equation, Klein-Gordon equation, Klein-Gordon-Schrödinger equations, Lattice Boltzmann method
1	Nikolaos Tzirakis	Mass Concentration Phenomenon for the Quintic Nonlinear Schrödinger Equation in One Dimension.	SIAM J. Math. Analysis	2006	DBLP DOI BibTeX RDF
1	Cuihua Guo, Shangbin Cui	Global existence of solutions for a fourth-order nonlinear Schrödinger equation.	Appl. Math. Lett.	2006	DBLP DOI BibTeX RDF
1	Qian Liu, Yuqian Zhou, Jian Zhang, Weinian Zhang	Sharp condition of global existence for nonlinear Schrödinger equation with a harmonic potential.	Applied Mathematics and Computation	2006	DBLP DOI BibTeX RDF
1	Ji Shu, Jian Zhang	Sharp criterion of global existence for a class of nonlinear Schrödinger equation with critical exponent.	Applied Mathematics and Computation	2006	DBLP DOI BibTeX RDF
1	Qian Liu, Yuqian Zhou, Jian Zhang	Upper and lower bound of the blow-up rate for nonlinear Schrödinger equation with a harmonic potential.	Applied Mathematics and Computation	2006	DBLP DOI BibTeX RDF
1	Ting-chun Wang, Lu-ming Zhang	Analysis of some new conservative schemes for nonlinear Schrödinger equation with wave operator.	Applied Mathematics and Computation	2006	DBLP DOI BibTeX RDF
1	Naoufel Ben Abdallah, Florian Méhats, Christian Schmeiser, Rada M. Weishäupl	The Nonlinear Schrödinger Equation with a Strongly Anisotropic Harmonic Potential.	SIAM J. Math. Analysis	2005	DBLP DOI BibTeX RDF
1	Jérémie Szeftel	Microlocal Dispersive Smoothing for the Nonlinear Schrödinger Equation.	SIAM J. Math. Analysis	2005	DBLP DOI BibTeX RDF
1	Michael Kurth	On the Existence of Infinitely Many Modes of a Nonlocal Nonlinear Schrödinger Equation Related to Dispersion-Managed Solitons.	SIAM J. Math. Analysis	2005	DBLP DOI BibTeX RDF
1	Wei Wang, Jianhua Sun, Guanrong Chen	Bifurcation, Exact Solutions and nonsmooth Behavior of solitary Waves in the Generalized Nonlinear SchrÖdinger equation.	I. J. Bifurcation and Chaos	2005	DBLP DOI BibTeX RDF
1	G. M. Muslu, H. A. Erbay	Higher-order split-step Fourier schemes for the generalized nonlinear Schrödinger equation.	Mathematics and Computers in Simulation	2005	DBLP DOI BibTeX RDF
1	D. J. Kaup	Variational solutions for the discrete nonlinear Schrödinger equation.	Mathematics and Computers in Simulation	2005	DBLP DOI BibTeX RDF
1	Jing-Bo Chen	A multisymplectic integrator for the periodic nonlinear Schrödinger equation.	Applied Mathematics and Computation	2005	DBLP DOI BibTeX RDF
1	Krishna Kundu	A discrete variational approach for investigation of stationary localized states in a discrete nonlinear Schrödinger equation, named IN-DNLS.	Int. J. Math. Mathematical Sciences	2005	DBLP DOI BibTeX RDF
1	Thiab R. Taha, Xiangming Xu	Parallel Split-Step Fourier Methods for the Coupled Nonlinear Schro"dinger Type Equations.	The Journal of Supercomputing	2005	DBLP DOI BibTeX RDF	split-step method, FFTW, parallel algorithms, NLS
1	Christophe Besse	A Relaxation Scheme for the Nonlinear Schrödinger Equation.	SIAM J. Numerical Analysis	2004	DBLP DOI BibTeX RDF
1	M. S. Ismail, S. Z. Alamri	Highly accurate finite difference method for coupled nonlinear Schrödinger equation.	Int. J. Comput. Math.	2004	DBLP DOI BibTeX RDF
1	N. V. Alexeeva, E. V. Zemlyanaya	Nodal Two-Dimensional Solitons in Nonlinear Parametric Resonance.	NAA	2004	DBLP DOI BibTeX RDF
1	E. V. Zemlyanaya, I. V. Barashenkov, S. R. Woodford	Parametrically Driven Dark Solitons: A Numerical Study.	NAA	2004	DBLP DOI BibTeX RDF
1	A. H. Vartanian	Exponentially small asymptotics of solutions to the defocusing nonlinear Schrödinger equation.	Appl. Math. Lett.	2003	DBLP DOI BibTeX RDF
1	Christophe Besse, Brigitte Bidégaray, Stéphane Descombes	Order Estimates in Time of Splitting Methods for the Nonlinear Schrödinger Equation.	SIAM J. Numerical Analysis	2002	DBLP DOI BibTeX RDF
1	C. J. Budd	Asymptotics of Multibump Blow-up Self-Similar Solutions of the Nonlinear Schrödinger Equation.	SIAM Journal of Applied Mathematics	2002	DBLP DOI BibTeX RDF
1	Thiab R. Taha, Xiangming Xu	Parallel Split-step Fourier Methods for the Nonlinear Schrödinger Equation.	PDPTA	2002	DBLP BibTeX RDF
1	Gadi Fibich, Boaz Ilan, S. Tsynkov	Computation of Nonlinear Backscattering Using a High-Order Numerical Method.	J. Sci. Comput.	2002	DBLP DOI BibTeX RDF	Kerr medium, self focusing, fourth-order method, two-way ABCs, wave propagation
1	Gadi Fibich	Self-Focusing in the Damped Nonlinear Schrödinger Equation.	SIAM Journal of Applied Mathematics	2001	DBLP DOI BibTeX RDF
1	Richard Liska, L. Drsda	FIDE: a REDUCE package for automation of FInite difference method for solving pDE.	ISSAC	1990	DBLP DOI BibTeX RDF	FORTRAN, REDUCE