New exact solutions of the \((2 + 1)\)-dimensional breaking soliton system via an extended mapping method

DOI10.1016/J.CHAOS.2007.07.043zbMath1197.35271OpenAlexW2084857185MaRDI QIDQ602137

Chun-Long Zheng, Song-Hua Ma, Jian-Ping Fang

Publication date: 31 October 2010

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

Full work available at URL: https://doi.org/10.1016/j.chaos.2007.07.043

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51)

Related Items (8)

NEW EXACT SOLUTIONS AND SOLITON-PULSE EXCITATIONS FOR THE MODIFIED BENJAMIN-BONA-MAHONY SYSTEM ⋮ Novel soliton interaction behaviours in the \((2+1)\)-dimensional asymmetric Nizhnik-Novikov-Veselov system ⋮ Diverse acoustic wave propagation to confirmable time–space fractional KP equation arising in dusty plasma ⋮ Bell-polynomial construction of Bäcklund transformations with auxiliary independent variable for some soliton equations with one tau-function ⋮ COMPLEX WAVE EXCITATIONS OF THE (2+1) -DIMENSIONAL BOITI-LEON-PEMPINELLI SYSTEM ⋮ Characteristics of integrability, bidirectional solitons and localized solutions for a (\(3+1\))-dimensional generalized breaking soliton equation ⋮ Bilinear Form andN-Shock-Wave Solutions for a (2+1)-Dimensional Breaking Soliton Equation in Certain Fluids with the Bell Polynomials and Auxiliary Function ⋮ A generalized (2 + 1)-dimensional Calogaro-Bogoyavlenskii-Schiff equation: symbolic computation, symmetry reductions, exact solutions, conservation laws

Cites Work

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• 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
• Exact solution and semifolded structures of generalized Broer-Kaup system in \((2+1)\)-dimensions
• Theory of non-propagating surface-wave solitons
• Singularity analysis and localized coherent structures in (2+1)-dimensional generalized Korteweg–de Vries equations
• Higher-dimensional dromion structures: Jimbo–Miwa–Kadomtsev–Petviashvili system
• Infinitely many Lax pairs and symmetry constraints of the KP equation

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