New types of exact solutions for the fourth-order dispersive cubic-quintic nonlinear Schrödinger equation

DOI10.1016/j.amc.2010.12.008zbMath1210.35241OpenAlexW2063087845MaRDI QIDQ628988

Gui-Qiong Xu

Publication date: 8 March 2011

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.12.008

zbMATH Keywords

nonlinear Schrödinger equationsoliton solutionperiodic wave solution

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Soliton solutions (35C08) Methods of ordinary differential equations applied to PDEs (35A24)

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Cites Work

• A generalized auxiliary equation method and its application to nonlinear Klein-Gordon and generalized nonlinear Camassa-Holm equations
• A note on the Painlevé test for nonlinear variable-coefficient PDEs
• 1-soliton solution of (1+2)-dimensional nonlinear Schrödinger's equation in dual-power law media
• Optical solitons in a parabolic law media with fourth order dispersion
• Direct search for exact solutions to the nonlinear Schrödinger equation
• The periodic wave solutions for the Klein-Gordon-Schrödinger equations
• Periodic wave solutions to a coupled KdV equations with variable coefficients
• The Painlevé integrability of two parameterized nonlinear evolution equations using symbolic computation
• Exact solutions for the fourth order nonlinear Schrödinger equations with cubic and power law nonlinearities
• The extended \(F\)-expansion method and its application for solving the nonlinear wave, CKGZ, GDS, DS and GZ equations
• On the Painlevé integrability, periodic wave solutions and soliton solutions of generalized coupled higher-order nonlinear Schrödinger equations
• A numerical solution and an exact explicit solution of the NLS equation
• Introduction to non-Kerr Law Optical Solitons
• Quasi-stationary optical solitons with power law nonlinearity
• The Propagation of Nonlinear Wave Envelopes
• Unnamed Item

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