Bäcklund transformation and soliton interactions for the Zakharov-Kuznetsov equation in plasmas

DOI10.1016/j.jmaa.2012.06.047zbMath1248.35176OpenAlexW1995451928MaRDI QIDQ714060

Wen-Jun Liu, Kun Sun, Pan Wang, Qi-Xing Qu, Bo Tian

Publication date: 19 October 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.06.047

zbMATH Keywords

symbolic computationBäcklund transformationHirota methodWronskian determinantZakharov-Kuznetsov equation for plasmas

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Soliton equations (35Q51) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Soliton solutions (35C08)

Related Items (1)

Breather waves, rogue waves and complexiton solutions for a Zakharov-Kuznetsov equation

Cites Work

• On macromodeling of nonlinear systems with time periodic coefficients
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• A vector potential KdV equation and vector Ito equation: Soliton solutions, bilinear Bäcklund transformations and Lax pairs.
• Application of homotopy perturbation method to nonlinear wave equations
• Macropterons, micropterons and similarity reductions for the regularized Ostrovsky-Grimshaw model for fluids and plasmas with symbolic computation
• Simple Derivation of Backlund Transformation from Riccati Form of Inverse Method
• Soliton Solutions of Non-linear Evolution Equations
• Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
• The Painlevé property for partial differential equations
• KP Hierarchies of Orthogonal and Symplectic Type–Transformation Groups for Soliton Equations VI–
• The Multisoliton Solutions of the KP Equation with Self-consistent Sources
• The Painlevé analysis of the Zakharov-Kuznetsov equation
• delta -dressing and exact solutions for the (2+1)-dimensional Harry Dym equation

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