High‐Order Interaction of Solitary Waves on Shallow Water

DOI10.1111/1467-9590.00001zbMath1152.76343OpenAlexW2015325210MaRDI QIDQ4784771

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Publication date: 11 December 2002

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1111/1467-9590.00001

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Solitary waves for incompressible inviscid fluids (76B25) Soliton equations (35Q51)

Related Items (7)

Two-component description of dynamical systems that can be approximated by solitons: the case of the ion acoustic wave equations of plasma physics ⋮ Asymptotic solitons on a non-zero mean level ⋮ Uniqueness of solutions for fourth-order nonlocal boundary value problems ⋮ Asymptotic solitons for a third-order Korteweg-de Vries equation ⋮ Bell-Polynomial Approach and Soliton Solutions for Some Higher-Order Korteweg-de Vries Equations in Fluid Mechanics, Plasma Physics and Lattice Dynamics ⋮ Solitary wave solutions of the high-order KdV models for bi-directional water waves ⋮ Normal Form and Solitons

Cites Work

• Unnamed Item
• On integrable systems with higher order corrections
• Overtaking collision between two solitary waves
• Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
• Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
• Decomposition of the Boussinesq equations for shallow-water waves into a set of coupled Korteweg–de Vries equations
• On the generation of shelves by long nonlinear waves in stratified flows
• Solitary wave interaction for the extended BBM equation
• Long Non‐Linear Waves in Fluid Flows

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