New Jacobi elliptic function-like solutions for the general KdV equation with variable coefficients

DOI10.1016/j.mcm.2011.10.057zbMath1255.35193OpenAlexW1973684672MaRDI QIDQ1933933

Dianchen Lu, Baojian Hong

Publication date: 27 January 2013

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2011.10.057

zbMATH Keywords

exact solutionsgeneralized Jacobi elliptic function-like solutionsgeneralized KdV equation with variable coefficientsimproved general mapping deformation method

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Periodic solutions to PDEs (35B10) Elliptic functions and integrals (33E05) Soliton solutions (35C08)

Related Items (7)

Exact Solutions for Generalized KdV Equations with Variable Coefficients Using the Equivalence Method ⋮ Explicit Jacobi elliptic exact solutions for nonlinear partial fractional differential equations ⋮ Soliton and Riemann theta function quasi-periodic wave solutions for a \((2+1)\)-dimensional generalized shallow water wave equation ⋮ Improved general mapping deformation method for nonlinear partial differential equations in mathematical physics ⋮ Extended auxiliary equation method and its applications to three generalized NLS equations ⋮ Editorial. Exact and approximate solutions for nonlinear PDEs ⋮ Exact solutions of a generalized autonomous Duffing-type equation

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