Exotic localized structures based on a variable separation solution of the \((2+1)\)-dimensional higher-order Broer-Kaup system

DOI10.1016/J.NONRWA.2007.09.008zbMath1154.35440OpenAlexW2030996322MaRDI QIDQ1003274

Xu Cen, Chao-Qing Dai, Sheng-Sheng Wu

Publication date: 27 February 2009

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2007.09.008

zbMATH Keywords

\((2+1)\)-dimensional higher-order Broer-Kaup system\(Q\)-deformed hyperbolic functionsexotic localized structures

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Periodic solutions to PDEs (35B10) Solutions to PDEs in closed form (35C05)

Related Items (3)

\(N\)-soliton solutions and localized structures for the \(2+1\)-dimensional Broer-Kaup-Kupershmidt system ⋮ New dynamical behavior of two waves for (2+1)-dimensional Broer-Kaup equation ⋮ The novel solitary wave structures and interactions in the \((2+1)\)-dimensional Kortweg-de Vries system

Cites Work

• Painlevé analysis and special solutions of generalized Broer-Kaup equations
• New variable separation excitations of \((2+1)\)-dimensional dispersive long-water wave system obtained by an extended mapping approach
• A class of doubly periodic wave solutions for the generalized Nizhnik-Novikov-Veselov equation
• Exact solution and semifolded structures of generalized Broer-Kaup system in \((2+1)\)-dimensions
• Nonpropagating solitary waves in \((2+1)\)-dimensional generalized dispersive long wave systems
• Exact solutions of multi-component nonlinear Schrödinger and Klein-Gordon equations in two-dimensional space-time
• A Higher-Order Water-Wave Equation and the Method for Solving It
• Periodic and localized solutions of the long wave–short wave resonance interaction equation
• Novel variable separation solutions and exotic localized excitations via the ETM in nonlinear soliton systems
• Infinitely many Lax pairs and symmetry constraints of the KP equation

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