On the exact solutions of the intermediate long-wave equation

zbMath0937.35142MaRDI QIDQ1328915

John F. Toland, John P. Albert

Publication date: 7 June 2000

Published in: Differential and Integral Equations (Search for Journal in Brave)

zbMATH Keywords

existencesolitary wavesdispersive waveslong-wave equationproperties of the solution

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Pseudodifferential operators (47G30)

Related Items (7)

Benjamin-Ono and Intermediate Long Wave Equations: Modeling, IST and PDE ⋮ Solitary-wave solutions of Benjamin-Ono and other systems for internal waves. I: Approximations ⋮ Solutions to some open problems in fluid dynamics ⋮ IST Versus PDE: A Comparative Study ⋮ On the Long Time Behavior of Solutions to the Intermediate Long Wave Equation ⋮ Existence of solitary wave solutions for internal waves in two-layer systems ⋮ Orbital stability of negative solitary waves

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