Comment on: ``Some exact solutions of KdV equation with variable coefficients

DOI10.1016/J.CNSNS.2012.04.016zbMath1263.35193OpenAlexW2051143253MaRDI QIDQ1948268

Olena Magda

Publication date: 2 May 2013

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.2012.04.016

zbMATH Keywords

exact solutionsvariable-coefficient KdV equationequivalence transformationsequivalence-based approach

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Periodic solutions to PDEs (35B10) Soliton solutions (35C08)

Related Items (1)

Numerical solutions of Korteweg-de Vries and Korteweg-de Vries-Burger's equations in a Bernstein polynomial basis

Cites Work

• Unnamed Item
• Lie symmetries and exact solutions of variable coefficient mKdV equations: an equivalence based approach
• Seven common errors in finding exact solutions of nonlinear differential equations
• Some exact solutions of KdV equation with variable coefficients
• More common errors in finding exact solutions of nonlinear differential equations. I
• A simple direct method to find equivalence transformations of a generalized nonlinear Schrödinger equation and a generalized KdV equation
• Admissible transformations and normalized classes of nonlinear Schrödinger equations
• Enhanced group analysis and exact solutions of variable coefficient semilinear diffusion equations with a power source
• On form-preserving point transformations of partial differential equations

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