Construction of exact solitary solutions for Boussinesq-like \(B(m,n)\) equations with fully nonlinear dispersion by the decomposition method

DOI10.1016/j.chaos.2005.01.031zbMath1080.35097OpenAlexW2059390683MaRDI QIDQ2486734

Shengchang Wu, Qian-shun Chang, Yong-gui Zhu

Publication date: 17 August 2005

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2005.01.031

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items

Infinite generation of soliton-like solutions for the (2+1) -dimensional generalized Broer-Kaup system, New exact compacton, peakon and solitary solutions of the generalized Boussinesq-like \(B(m,n)\) equations with nonlinear dispersion, Variational approach to solitons of nonlinear dispersive \(K(m, n)\) equations, Exp-function method for nonlinear wave equations, New exact solitary-wave solutions for the \(K(2, 2, 1)\) and \(K(3, 3, 1)\) equations, A Riccati equation approach and travelling wave solutions for nonlinear evolution equations, Approximate analytical solutions of generalized Zakharov-Kuznetsov and generalized modified Zakharov-Kuznetsov equations

Cites Work

• A review of the decomposition method in applied mathematics
• Solving frontier problems of physics: the decomposition method
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• Exact special solutions with solitary patterns for Boussinesq-like \(B(m,n)\) equations with fully nonlinear dispersion
• Nonlinear equations with mixed derivatives
• Construction of soliton solutions and periodic solutions of the Boussinesq equation by the modified decomposition method
• The Modified Korteweg-de Vries Equation
• New Similarity Reductions and Compacton Solutions for Boussinesq-Like Equations with Fully Nonlinear Dispersion
• Compactons: Solitons with finite wavelength
• Exact special solutions with solitary patterns for the nonlinear dispersive \(K(m,n)\) equations
• New solitary-wave special solutions with compact support for the nonlinear dispersive \(K(m,n)\) equations