On a series expansion for the solitary wave

DOI10.1017/S0022112087001666zbMath0622.76020OpenAlexW2053023409MaRDI QIDQ3760140

S. Pennell

Publication date: 1987

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0022112087001666

zbMATH Keywords

convergencesolitary waveseries expansiondiagonal Padé approximantsmasspotential energywave amplitude

Mathematics Subject Classification ID

Padé approximation (41A21) Ship waves (76B20) Basic methods in fluid mechanics (76M99)

Related Items (5)

Summation of the Witting series in the solitary wave problem ⋮ Asymptotic expansions in the problem of a solitary wave ⋮ Internal solitary waves in a two-fluid system ⋮ A second-order solution for the solitary wave in a rotational flow ⋮ High-Order Davies' Approximation for a Solitary Wave Solution in Packham's Complex Plane

Cites Work

• Accurate computations for steep solitary waves
• A seventeenth-order series expansion for the solitary wave
• The solitary wave of maximum amplitude

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