Asymptotic expansions in the problem of a solitary wave

DOI10.1017/S0022112096007276zbMath0881.76018MaRDI QIDQ4348216

E. A. Karabut

Publication date: 19 February 1998

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

zbMATH Keywords

fluid suctionmaximal-amplitude solitary wave flowcurvilinear roofexact summation of Witting series

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Solitary waves for incompressible inviscid fluids (76B25) Series solutions to PDEs (35C10)

Related Items (7)

Unsteady flows with a zero acceleration on the free boundary ⋮ Non-integrability of the Karabut system ⋮ The exact solution of a nonlinear boundary-value problem of the theory of waves on the surface of a liquid of finite depth ⋮ Differential Galoisian approach to Jacobi integrability of general analytic dynamical systems and its application ⋮ On explicit solutions of the free-surface Euler equations in the presence of gravity ⋮ Semi-analytical study of the Voinovs problem ⋮ Conformal mapping, Padé approximants, and an example of flow with a significant deformation of the free boundary

Cites Work

• Accurate computations for steep solitary waves
• The second approximation to cnoidal and solitary waves
• A seventeenth-order series expansion for the solitary wave
• On a series expansion for the solitary wave
• On the Highest and Other Solitary Waves
• The solitary wave in water of variable depth. Part 2
• A ninth-order solution for the solitary wave

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