Complexification and integrability in multidimensions

DOI10.1063/1.5032110zbMath1406.35329OpenAlexW2891748839WikidataQ129281555 ScholiaQ129281555MaRDI QIDQ4687692

M. C. van der Weele, Athanassios S. Fokas

Publication date: 12 October 2018

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.5032110

zbMATH Keywords

integrable systemscomplexificationKadomtsev-Petviashvili equationDavey-Stewartson equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Initial value problems for nonlinear higher-order PDEs (35G25)

Related Items

Solving a well-posed fractional initial value problem by a complex approach ⋮ Integrable nonlocal asymptotic reductions of physically significant nonlinear equations ⋮ Reduction in the \((4+1)\)-dimensional Fokas equation and their solutions ⋮ Integrable space-time shifted nonlocal nonlinear equations ⋮ Painlevé analysis, lump-kink solutions and localized excitation solutions for the (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation ⋮ Solving the initial value problem for the 3-wave interaction equations in multidimensions ⋮ Preface: Introduction to special issue: In memory of Ludwig Faddeev ⋮ Characteristics of integrability, bidirectional solitons and localized solutions for a (\(3+1\))-dimensional generalized breaking soliton equation ⋮ Fractionalisation of complex d-bar derivatives

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