New Jacobi elliptic functions solutions for the variable-coefficient mKdV equation

DOI10.1016/j.amc.2009.09.035zbMath1180.35459OpenAlexW2005862956MaRDI QIDQ1049299

Baojian Hong

Publication date: 8 January 2010

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

Full work available at URL: https://doi.org/10.1016/j.amc.2009.09.035

zbMATH Keywords

exact solutionsvariable-coefficient mKdV equationJacobi-like elliptic functions solutionsnew generalized Jacobi elliptic functions expansion method

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Geometric theory, characteristics, transformations in context of PDEs (35A30) Soliton solutions (35C08)

Related Items (15)

Multiple travelling wave solutions for electrical transmission line model ⋮ Improved general mapping deformation method for nonlinear partial differential equations in mathematical physics ⋮ New Jacobi elliptic function-like solutions for the general KdV equation with variable coefficients ⋮ Some novel optical solutions for the generalized \(M\)-fractional coupled NLS system ⋮ Exact solutions of variable coefficient nonlinear diffusion-reaction equations with a nonlinear convective term ⋮ Application of the homotopy analysis method for solving the variable coefficient KdV-Burgers equation ⋮ Editorial. Exact and approximate solutions for nonlinear PDEs ⋮ Travelling wave solutions of reduced super-KdV equation: A perspective from Lamé equation ⋮ Abundant explicit and exact solutions for the variable coefficient mKdV equations ⋮ New exact Jacobi elliptic functions solutions for the generalized coupled Hirota-Satsuma KdV system ⋮ Painlevé analysis and invariant solutions of generalized fifth-order nonlinear integrable equation ⋮ Auxiliary equation method for solving nonlinear Wick-type partial differential equations ⋮ Exact solutions of a generalized autonomous Duffing-type equation ⋮ Lie point symmetries, conservation laws and exact solutions of electrical transmission line model ⋮ Numerical solution of a coupled modified Korteweg–de Vries equation by the Galerkin method using quadratic B-splines

Cites Work

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• Symmetry reductions and soliton-like solutions for the variable coefficient MKdV equations
• The Jacobi elliptic function solutions to a generalized Benjamin-Bona-Mahony equation
• A note on the elliptic equation method
• Extended tanh-function method and its applications to nonlinear equations
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• Explicit and exact solutions of the combined KdV equation
• Link between solitary waves and projective Riccati equations
• Jacobi elliptic function expansion method and periodic wave solutions of nonlinear wave equations
• New Jacobi elliptic function expansion and new periodic solutions of nonlinear wave equations
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