The correct traveling wave solutions for the high-order dispersive nonlinear Schrödinger equation

DOI10.1016/j.amc.2010.03.011zbMath1190.35211OpenAlexW1982448203MaRDI QIDQ972933

Zhengde Dai, Ye-qiong Shi, Dong-Long Li

Publication date: 21 May 2010

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

Full work available at URL: https://doi.org/10.1016/j.amc.2010.03.011

zbMATH Keywords

soliton-like solutionJacobi elliptic function\(F\)-expansion methodtrigonometric function solutionhigher order dispersive nonlinear Schrödinger equation

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Traveling wave solutions (35C07) Methods of ordinary differential equations applied to PDEs (35A24) Trigonometric solutions to PDEs (35C09)

Related Items (6)

New exact solutions for the \((2+1)\)-dimensional Sawada-Kotera equation ⋮ Exact traveling wave solutions of certain nonlinear partial differential equations using the \(\left(G^{\prime} / G^2\right)\)-expansion method ⋮ Extend three-wave method for the \((1+2)\)-dimensional Itô equation ⋮ Lie symmetry analysis of the nonlinear Schrödinger equation with time dependent variable coefficients ⋮ Classical symmetries of the Klein-Gordon-Zakharov equations with time-dependent variable coefficients ⋮ Two reliable methods for solving the (3 + 1)-dimensional space-time fractional Jimbo-Miwa equation

Cites Work

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