Analytic \(N\)-solitary-wave solution of a variable-coefficient Gardner equation from fluid dynamics and plasma physics

DOI10.1016/j.amc.2008.10.049zbMath1162.76013OpenAlexW2049753479MaRDI QIDQ1021521

Xiang-Hua Meng, Yi-Tian Gao, Xiao-Ge Xu, Xiao-Yong Wen

Publication date: 8 June 2009

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

Full work available at URL: https://doi.org/10.1016/j.amc.2008.10.049

zbMATH Keywords

symbolic computationHirota bilinear method

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Solitary waves for incompressible inviscid fluids (76B25) Soliton equations (35Q51)

Related Items (8)

Transverse spectral instabilities in Konopelchenko–Dubrovsky equation ⋮ Exact solutions of the generalized ZK and Gardner equations by extended generalized \((G^\prime/G)\)-expansion method ⋮ The domination numbers of cylindrical grid graphs ⋮ Soliton solutions, Bäcklund transformation and Wronskian solutions for the extended \((2+1)\)-dimensional Konopelchenko-Dubrovsky equations in fluid mechanics ⋮ Multi-soliton solutions of the forced variable-coefficient extended Korteweg-de Vries equation arisen in fluid dynamics of internal solitary waves ⋮ New exact solutions for the generalized variable-coefficient Gardner equation with forcing term ⋮ Explicit exact solutions for variable coefficient Gardner equation: an application of Riccati equation mapping method ⋮ New similarity solutions of a generalized variable-coefficient Gardner equation with forcing term

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