The Korteweg–de Vries equation in Lagrangian coordinates

DOI10.1063/1.865460zbMath0593.76026OpenAlexW2058091630MaRDI QIDQ3723937

L. Bergamasco, Antonello Provenzale, A. D. jun. Kirwan, Alfred R. Osborne

Publication date: 1986

Published in: The Physics of Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.865460

zbMATH Keywords

inverse scattering transformKorteweg-de Vries equationkink solitonsingle solitonLagrangian formnonlinear shallow water wavesintegrable soliton systemmotion with periodic boundary conditionsorthogonal decomposition of N-soliton motionorthogonal decomposition of the particle motionpulse soliton

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Partial differential equations of mathematical physics and other areas of application (35Q99) Ship waves (76B20) Basic methods in fluid mechanics (76M99)

Related Items (5)

Particle trajectory and mass transport of finite-amplitude waves in water of uniform depth ⋮ The shallow-water nonlinear Schrödinger equation in Lagrangian coordinates ⋮ Computation of the direct scattering transform for the nonlinear Schrödinger equation ⋮ Particle dynamics in the KdV approximation ⋮ Nonlinear Fourier analysis for the infinite-interval Korteweg-de Vries equation. II: Numerical tests of the direct scattering transform

Cites Work

• Long Non‐Linear Waves in Fluid Flows
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