New families of exact soliton-like solutions and dromion solutions to the \((2+1)\)-dimensional higher-order Broer-Kaup equations

DOI10.1016/j.chaos.2004.06.043zbMath1070.35078OpenAlexW1983015478MaRDI QIDQ1776639

Deng-Yuan Chen, Tie-cheng Xia

Publication date: 12 May 2005

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

Full work available at URL: https://doi.org/10.1016/j.chaos.2004.06.043

zbMATH Keywords

Bäcklund transformationhomogeneous balance methodsoliton-like solutions

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (4)

Study of (2+1)-Dimensional Higher-Order Broer–Kaup System ⋮ The subsidiary ordinary differential equations and the exact solutions of the higher order dispersive nonlinear Schrödinger equation ⋮ Doubly periodic wave and folded solitary wave solutions for \((2+1)\)-dimensional higher-order Broer-Kaup equation ⋮ Exact solutions to two higher order nonlinear Schrödinger equations

Cites Work

• The effect of conductivity on hotspots
• Symmetries of the Kadomtsev-Petviashvili equation
• Singularity analysis and localized coherent structures in (2+1)-dimensional generalized Korteweg–de Vries equations
• Generalized dromion solutions of the (2+1)-dimensional KdV equation
• Infinitely many symmetries of the Davey-Stewartson equation
• Unnamed Item

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