Nonisospectral scattering problems and similarity reductions

DOI10.1016/j.amc.2014.03.107zbMath1334.37088OpenAlexW2069966982MaRDI QIDQ274943

Andrew Pickering, Pilar Ruiz Gordoa, Jonathan A. D. Wattis

Publication date: 25 April 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.03.107

zbMATH Keywords

similarity reductionsKorteweg-de Vries hierarchydispersive water wave hierarchynonisospectral scattering problemsPainlevé hierarchies

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Lattice dynamics; integrable lattice equations (37K60)

Related Items (6)

On matrix Painlevé hierarchies ⋮ Solution classes of the matrix second Painlevé hierarchy ⋮ The geometry of differential constraints for a class of evolution PDEs ⋮ Behaviour of the extended Toda lattice ⋮ Breaking Waves and Spectral Analysis of the Two‐Dimensional KdV–Bogoyavlenskii Equation ⋮ On an extended second Painlevé hierarchy

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