Special conditional similarity reductions and exact solutions of the \((2+1)\)-dimensional VCBKK system

DOI10.1016/j.chaos.2006.05.047zbMath1138.35391OpenAlexW2031408402MaRDI QIDQ2477309

Jian-Ping Fang, Jiangbo Li, Chun-Long Zheng, Qing-Bao Ren

Publication date: 13 March 2008

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

Full work available at URL: https://doi.org/10.1016/j.chaos.2006.05.047

zbMATH Keywords

Broer-Kaup-Kupershmidt systemsolitonic solution periodic solutions

Mathematics Subject Classification ID

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

Cites Work

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• New exact solutions and fractal patterns of generalized Broer-Kaup system via a mapping approach
• New variable separation excitations of \((2+1)\)-dimensional dispersive long-water wave system obtained by an extended mapping approach
• Solitons with fission and fusion behaviors in a variable coefficient Broer-Kaup system
• The Exact Solutions of Some (2+1)-Dimensional Integrable Systems
• Rich Localized Coherent Structures of the (2 + 1)-Dimensional Broer–Kaup–Kupershmidt Equation
• New similarity reductions of the Boussinesq equation
• Conditional Similarity Solutions of the Boussinesq Equation
• Infinitely many Lax pairs and symmetry constraints of the KP equation
• Nonclassical symmetry reductions and exact solutions of the Zabolotskaya–Khokhlov equation

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