New solitary wave solutions to nonlinear evolution equations by the exp-function method

DOI10.1016/j.camwa.2010.08.083zbMath1219.35224OpenAlexW2006382883MaRDI QIDQ636642

Changbum Chun

Publication date: 28 August 2011

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2010.08.083

zbMATH Keywords

Korteweg-de Vries equationsolitary wave solutionssingularity analysisexp-function method

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton solutions (35C08)

Related Items (7)

Analysis of (3 + 1)-dimensional Boiti-Leon-Manna-Pempinelli equation via Lax pair investigation and group transformation method ⋮ Forward scattering for non-linear wave propagation in (3 + 1)-dimensional Jimbo-Miwa equation using singular manifold and group transformation methods ⋮ Investigation of breaking dynamics for Riemann waves in shallow water ⋮ New exact solutions of nonlinear \((3 + 1)\)-dimensional Boiti-Leon-Manna-Pempinelli equation ⋮ An improvement on the exp-function method when balancing the highest order linear and nonlinear terms ⋮ Existence of solitary solutions in a class of nonlinear differential equations with polynomial nonlinearity ⋮ On the exact analytical and numerical solutions of nano boundary-layer fluid flows

Cites Work

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• Exact solitary wave solutions for some nonlinear evolution equations via Exp-function method
• Application of Exp-function method to a KdV equation with variable coefficients
• Solitons and periodic solutions for the fifth-order KdV equation with the Exp-function method
• Exp-function method for nonlinear wave equations
• Further improved F-expansion method and new exact solutions of Konopelchenko--Dubrovsky equation
• The tanh and the sine-cosine methods for exact solutions of the MBBM and the Vakhnenko equations
• Explicit and Exact Nontravelling Wave Solutions of Konopelchenko-Dubrovsky Equations
• AN ELEMENTARY INTRODUCTION TO RECENTLY DEVELOPED ASYMPTOTIC METHODS AND NANOMECHANICS IN TEXTILE ENGINEERING
• On a shallow water wave equation

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