A note on the ``Exp-function method for traveling waves of nonlinear evolution equations

DOI10.1016/j.amc.2012.02.009zbMath1245.65139OpenAlexW2035404742MaRDI QIDQ440828

Stanislav A. Chesnokov, Pavel N. Ryabov

Publication date: 19 August 2012

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

Full work available at URL: https://doi.org/10.1016/j.amc.2012.02.009

zbMATH Keywords

nonlinear differential equationsordinary differential equationexact solutionsnonlinear evolution equationcommon error

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (3)

Comments on: ``A new algorithm for automatic computation of solitary wave solutions to nonlinear partial differential equations based on the exp-function method ⋮ Comments on ``Two exact solutions to the general relativistic Binet's equation ⋮ Comments on ``The exp-function method and generalized solitary solutions

Cites Work

• Popular ansatz methods and solitary wave solutions of the Kuramoto-Sivashinsky equation
• Be careful with the Exp-function method
• Seven common errors in finding exact solutions of nonlinear differential equations
• Exp-function method for traveling wave solutions of nonlinear evolution equations
• A note on ``New kink-shaped solutions and periodic wave solutions for the \((2 + 1)\)-dimensional sine-Gordon equation
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