On solitary waves. II: A unified perturbation theory for higher-order waves

DOI10.1007/s10409-005-0071-5zbMath1200.76038OpenAlexW2053647712MaRDI QIDQ608666

Xinlong Wang, Wendong Qu, Theodore Yao-Tsu Wu

Publication date: 25 November 2010

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

Full work available at URL: https://doi.org/10.1007/s10409-005-0071-5

zbMATH Keywords

asymptotic representationbase functionssolitary waves on waterbase parametersunified perturbation theory

Mathematics Subject Classification ID

Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Solitary waves for incompressible inviscid fluids (76B25)

Related Items (5)

On the generalized Cauchy function and new conjecture on its exterior singularities ⋮ Solitary waves for a nonlinear dispersive long wave equation ⋮ Nonlinear excitations and ``peakons of a (2+1)-dimensional generalized Broer-Kaup system ⋮ On tsunami and the regularized solitary-wave theory ⋮ High-Order Davies' Approximation for a Solitary Wave Solution in Packham's Complex Plane

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• Well-posedness in Sobolev spaces of the full water wave problem in 3-D
• On the Highest and Other Solitary Waves
• A ninth-order solution for the solitary wave
• The existence of solitary waves

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