Some analytical solutions for the \((2+1)\)-dimensional nonintegrable and integrable dispersive long wave equations

DOI10.1007/BF01379656zbMath0914.76014OpenAlexW2017242907MaRDI QIDQ1267119

K. Appert

Publication date: 21 June 1999

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01379656

zbMATH Keywords

computerized symbolic computationnonlinear evolution equationssoliton-like solutionsgeneralized tanh method

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

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Shallow water in an open sea or a wide channel: auto- and non-auto-Bäcklund transformations with solitons for a generalized (2+1)-dimensional dispersive long-wave system

Cites Work

• Beyond travelling waves: A new algorithm for solving nonlinear evolution equations
• Group theoretical analysis of dispersive long wave equations in two space dimensions
• Spectral transform for a two spatial dimension extension of the dispersive long wave equation
• New families of exact solutions to the integrable dispersive long wave equations in 2+1-dimensional spaces