Long nonlinear internal waves in channels of arbitrary cross-section

DOI10.1017/S0022112078001214zbMath0374.76023MaRDI QIDQ4151901

R. H. J. Grimshaw

Publication date: 1978

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

Mathematics Subject Classification ID

Solitary waves for incompressible inviscid fluids (76B25) Internal waves for incompressible inviscid fluids (76B55)

Related Items (13)

The solitary waves in a gradually varying channel of arbitrary cross- section ⋮ Spacial inhomogeneity and nonlinear tunneling for the forced KdV equation ⋮ Wronskian solutions and integrability for a generalized variable-coefficient forced Korteweg-de Vries equation in fluids ⋮ On direct methods in water-wave theory ⋮ A formal expansion procedure for the internal solitary wave problem in a two-fluid system of constant topography ⋮ Generation of undular bores in the shelves of slowly-varying solitary waves ⋮ Integrable Nonlinear Equations for Water Waves in Straits of Varying Depth and Width ⋮ Pontryagin's maximum principle for optimal boundary control of a generalised Korteweg–de Vries equation ⋮ On the Integrability of a Generalized Variable‐Coefficient Forced Korteweg‐de Vries Equation in Fluids ⋮ Solitons in Shallow Seas of Variable Depth and in Marine Straits ⋮ Symmetries of variable coefficient Korteweg–de Vries equations ⋮ Change of Polarity for Periodic Waves in the Variable‐Coefficient Korteweg‐de Vries Equation ⋮ Wave number shocks for the leading tail of Korteweg-de Vries solitary waves in slowly varying media

Cites Work

• Long Waves in a Stratified Fluid over a Channel of Arbitrary Cross Section
• Ray method for nonlinear wave propagation in a rotating fluid of variable depth
• Characteristics of internal solitary waves

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