Variable separation solutions to the integrable higher order Broer-Kaup (HBK) system in \((2+1)\)-dimensional spaces

DOI10.1016/j.chaos.2004.02.006zbMath1069.37051OpenAlexW2024275766MaRDI QIDQ1766634

Hong-Qing Zhang, Chengxin Luo, De-Sheng Li

Publication date: 8 March 2005

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

Full work available at URL: https://doi.org/10.1016/j.chaos.2004.02.006

zbMATH Keywords

Cole-Hopf transformationBäcklund transformationvariable separationnew solutions

Mathematics Subject Classification ID

Related Items (2)

Variable-coefficient projective Riccati equation method and its application to a new (2 + 1)-dimensional simplified generalized Broer-Kaup system ⋮ Fission and fusion in the new localized structures to the integrable \((2 + 1)\)-dimensional higher-order Broer-Kaup system

Cites Work

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• Nonlinearization of the Lax system for AKNS hierarchy
• Abundant coherent structures of the dispersive long-wave equation in \((2+1)\)-dimensional spaces.
• Some new exact solutions of the integrable Broer-Kaup equations in \((2+1)\)-dimensional spaces
• Solving the \((2+1)\)-dimensional higher order Broer-Kaup system via a transformation and tanh-function method
• On the coherent structures of the Nizhnik-Novikov-Veselov equation
• Relationships among Inverse Method, Backlund Transformation and an Infinite Number of Conservation Laws
• A Variable Separation Approach to Solve the Integrable and Nonintegrable Models: Coherent Structures of the (2+1)-Dimensional KdV Equation
• Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
• Method for Solving the Korteweg-deVries Equation
• New similarity reductions of the Boussinesq equation
• Infinitely many Lax pairs and symmetry constraints of the KP equation
• Formal variable separation approach for nonintegrable models
• Dromions, Dromion Lattice, Breathers and Instantons of the Davey–Stewartson Equation
• (2+1)-dimensional (M+N)-component AKNS system: Painlevé integrability, infinitely many symmetries, similarity reductions and exact solutions
• The interactions of localized coherent structures for a \((2+1)\)-dimensional system

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