A new coupled sub-equations expansion method and novel complexiton solutions of (2 + 1)-dimensional Burgers equation

DOI10.1016/j.amc.2006.08.006zbMath1114.65123OpenAlexW2139473329MaRDI QIDQ876642

Qi Wang, Lina Song, Hong-Qing Zhang

Publication date: 26 April 2007

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.08.006

zbMATH Keywords

comparison of methodssymbolic computationnonlinear evolution equationscomplexiton solutionrational expansion method(2+1)-dimensional Burgers equationcoupled sub-equations methodtanh function methods

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Nonlinear parabolic equations (35K55) KdV equations (Korteweg-de Vries equations) (35Q53) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (3)

Auto-Bäcklund transformation, similarity reductions and solitons of an extended \((2+1)\)-dimensional coupled Burgers system in fluid mechanics ⋮ Hetero-Bäcklund transformation and similarity reduction of an extended (2+1)-dimensional coupled Burgers system in fluid mechanics ⋮ Multiple kink solutions and multiple singular kink solutions for the (2 + 1)-dimensional Burgers equations

Cites Work

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• General projective Riccati equation method and exact solutions for generalized KdV-type and KdV-Burgers-type equations with nonlinear terms of any order
• Complexiton solutions to the Korteweg-de Vries equation
• An extended Jacobi elliptic function rational expansion method and its application to \((2+1)\)-dimensional dispersive long wave equation
• Extended tanh-function method and its applications to nonlinear equations
• Link between solitary waves and projective Riccati equations
• Painleve analysis and Backlund transformation in the Kuramoto-Sivashinsky equation
• New explicit travelling wave solutions for two new integrable coupled nonlinear evolution equations

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