Be careful with the Exp-function method - additional remarks

DOI10.1016/j.cnsns.2010.01.032zbMath1222.35011OpenAlexW2026535813MaRDI QIDQ720303

Minvydas Ragulskis, Liepa Bikulciene, Zenonas Navickas

Publication date: 13 October 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2010.01.032

zbMATH Keywords

analytical solutionnonlinear differential equation\(H\)-rankalgebraicgeneralized operator of differentiation

Mathematics Subject Classification ID

Theoretical approximation in context of PDEs (35A35)

Related Items (12)

Comments on: ``A new algorithm for automatic computation of solitary wave solutions to nonlinear partial differential equations based on the exp-function method ⋮ Kink solitary solutions to generalized Riccati equations with polynomial coefficients ⋮ Comments on ``Two exact solutions to the general relativistic Binet's equation ⋮ Algebraic approach for the exploration of the onset of chaos in discrete nonlinear dynamical systems ⋮ Existence of solitary solutions in a class of nonlinear differential equations with polynomial nonlinearity ⋮ Homoclinic and heteroclinic solutions to a hepatitis C evolution model ⋮ Comments on ``The exp-function method and generalized solitary solutions ⋮ 1-soliton solution and conservation laws of the generalized Dullin-Gottwald-Holm equation ⋮ On the application of the Exp-function method to the KP equation for \(N\)-soliton solutions ⋮ The rank of a sequence as an indicator of chaos in discrete nonlinear dynamical systems ⋮ Symmetry breaking in solitary solutions to the Hodgkin-Huxley model ⋮ Be careful with variable separation solutions via the extended tanh-function method and periodic wave structures

Uses Software

• ATFM

Cites Work

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• Exact travelling wave solutions of the discrete sine-Gordon equation obtained via the exp-function method
• The Painlevé property for partial differential equations
• The Kadomtsev–Petviashvili equation as a source of integrable model equations

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