Exact periodic wave solutions for the hKdV equation

DOI10.1016/j.na.2008.03.019zbMath1162.35312OpenAlexW2022276928MaRDI QIDQ1004640

Hanze Liu, Feng Juan Chen, Ji-Bin Li

Publication date: 11 March 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.03.019

zbMATH Keywords

soliton solutionHirota methodperiodic wave solutionJacobian theta functionhKdV equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Periodic solutions to PDEs (35B10) Soliton equations (35Q51)

Related Items (8)

Painlevé analysis, Lie symmetries, and exact solutions for the time-dependent coefficients gardner equations ⋮ Group classifications, symmetry reductions and exact solutions to the nonlinear elastic rod equations ⋮ Painlevé test, complete symmetry classifications and exact solutions to R-D types of equations ⋮ Lie symmetries, conservation laws and exact solutions for two rod equations ⋮ Lie symmetry analysis and exact solutions for the extended mKdV equation ⋮ Lie symmetry analysis, optimal systems and exact solutions to the fifth-order KdV types of equations ⋮ Painlevé analysis, complete Lie group classifications and exact solutions to the time-dependent coefficients gardner types of equations ⋮ Lie group classifications and exact solutions for two variable-coefficient equations

Cites Work

• Unnamed Item
• Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
• Hierarchies of Coupled Soliton Equations. I
• Method for Solving the Korteweg-deVries Equation
• An integrable symmetric (2+1)-dimensional Lotka–Volterra equation and a family of its solutions

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