New soliton-like and periodic solution of \((2 + 1)\)-dimensional higher order Broer-Kaup system

DOI10.1016/j.chaos.2004.02.023zbMath1062.35143OpenAlexW1975555178MaRDI QIDQ1772607

Hong-Qing Zhang, Jian-qin Mei, De-Sheng Li

Publication date: 21 April 2005

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

Full work available at URL: https://doi.org/10.1016/j.chaos.2004.02.023

zbMATH Keywords

periodic solutionsBäcklund transformationsoliton-like solutionsBroer-Kaup systemprojective Riccati equation method

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Periodic solutions to PDEs (35B10) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

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Uses Software

• MACSYMA

Cites Work

• Painlevé expansions for nonintegrable evolution equations
• Generalized method and its application in the higher-order nonlinear Schrödinger equation in nonlinear optical fibres.
• Two new applications of the homogeneous balance method
• Solving the \((2+1)\)-dimensional higher order Broer-Kaup system via a transformation and tanh-function method
• Exact solutions for a compound KdV-Burgers equation
• Relationships among Inverse Method, Backlund Transformation and an Infinite Number of Conservation Laws
• Solitary wave solutions of nonlinear evolution and wave equations using a direct method and MACSYMA
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