A Justification of the K<scp>d</scp>V Approximation to First Order in the Case ofN-Soliton Water Waves in a Canal

DOI10.1137/0515036zbMath0546.76033OpenAlexW2050484687MaRDI QIDQ3336886

Robert L. Sachs

Publication date: 1984

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0515036

zbMATH Keywords

second order approximationasymptotic propertiesKorteweg-de Vries equationN-soliton solutionlowest order term of a formal expansion procedure for the Euler equations

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Solitary waves for incompressible inviscid fluids (76B25) Boundary value problems for nonlinear higher-order PDEs (35G30) Partial differential equations of mathematical physics and other areas of application (35Q99) Solutions to PDEs in closed form (35C05)

Related Items (4)

Perturbative analysis of wave interaction in nonlinear systems ⋮ Asymptotics of the first correction in the perturbation of the \(N\)-soliton solution of the KdV equation ⋮ Error propagation when approximating multi-solitons: The KdV equation as a case study ⋮ Asymptotics of an integral that arises in the theory of perturbations of KdV solitons

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