Dromion and other exact solutions of \((2+1)\)-dimensional Broer-Kaup equation.

DOI10.1016/S0960-0779(02)00315-6zbMath1048.35112OpenAlexW1980650156MaRDI QIDQ1419223

Hong-Qing Zhang, Tie-cheng Xia

Publication date: 14 January 2004

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

Full work available at URL: https://doi.org/10.1016/s0960-0779(02)00315-6

zbMATH Keywords

Bäcklund transformationhomogeneous balance methoddromion solutionBroer-Kaup equationsingle soliton solution

Mathematics Subject Classification ID

Initial-boundary value problems for higher-order parabolic equations (35K35) Solutions to PDEs in closed form (35C05)

Related Items

A generalized \(F\)-expansion method with symbolic computation exactly solving Broer-Kaup equations ⋮ A note on exact traveling solitary wave solutions of integrable Broer-Kaup (BK) equations in \((2+1)\)-dimensional spaces ⋮ Dromion and other exact solutions of \((2+1)\)-dimensional dispersive long water equations

Cites Work

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• Multiple soliton-like solutions for \((2+1)\)-dimensional dispersive long-wave equations
• Dromion-like structures in the \((2+1)\)-dimensional breaking soliton equation
• Application of a homogeneous balance method to exact solutions of nonlinear equations in mathematical physics
• 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
• Study on exact analytic solutions for two systems of nonlinear evolution equations

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