Analytic study on the generalized fifth-order KdV equation: new solitons and periodic solutions

DOI10.1016/j.cnsns.2006.01.014zbMath1350.35176OpenAlexW1983243558MaRDI QIDQ883533

Abdul-Majid Wazwaz

Publication date: 4 June 2007

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.2006.01.014

zbMATH Keywords

solitonsgeneralized KdV equationsinh-cosh ansatzthe tanh method

Mathematics Subject Classification ID

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

Related Items (5)

Exact travelling wave solutions to seventh-order and ninth-order KdV-like equations ⋮ TOTALLY NEW SOLITON PHENOMENA IN THE FRACTIONAL ZOOMERON MODEL FOR SHALLOW WATER ⋮ Exact two-soliton solutions and two-periodic solutions of the perturbed mKdV equation with variable coefficients ⋮ A meshless numerical solution of the family of generalized fifth‐order Korteweg‐de Vries equations ⋮ Soliton perturbation theory for the generalized fifth-order KdV equation

Uses Software

• MACSYMA

Cites Work

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• New double periodic and multiple soliton solutions of the generalized \((2 + 1)\)-dimensional Boussinesq equation
• The tanh method for traveling wave solutions of nonlinear equations
• New solitons and kink solutions for the Gardner equation
• The Modified Korteweg-de Vries Equation
• Solitary wave solutions of nonlinear wave equations
• Model equations for long waves in nonlinear dispersive systems
• Solitary wave solutions of nonlinear evolution and wave equations using a direct method and MACSYMA
• New solitary-wave special solutions with compact support for the nonlinear dispersive \(K(m,n)\) equations

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