Davey-Stewartson type equations in 4+2 and 3+1 possessing soliton solutions

DOI10.1063/1.4817345zbMath1290.35199OpenAlexW1966911329MaRDI QIDQ5407653

M. Dimakos, Athanassios S. Fokas

Publication date: 7 April 2014

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

Full work available at URL: https://doi.org/10.1063/1.4817345

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Soliton equations (35Q51) Soliton solutions (35C08)

Related Items (13)

Integrable nonlinear Klein-Gordon systems with \(\mathcal{PT}\) nonlocality and/or space-time exchange nonlocality ⋮ Reduction in the \((4+1)\)-dimensional Fokas equation and their solutions ⋮ Alice-Bob systems, P^-T^-Ĉ symmetry invariant and symmetry breaking soliton solutions ⋮ Some special exact solutions in nonlocal Alice-Bob sine-Gordon systems ^∗ ⋮ A novel \((2 + 1)\)-dimensional nonlinear Schrödinger equation deformed from \((1 + 1)\)-dimensional nonlinear Schrödinger equation ⋮ Multi-place physics and multi-place nonlocal systems ⋮ Exact solutions of the nonlocal Sawada–Kotera equation in the Alice–Bob system ⋮ Davey-Stewartson type equations in 4+2 and 3+1 possessing soliton solutions ⋮ Two \((2+1)\)-dimensional integrable nonlocal nonlinear Schrödinger equations: breather, rational and semi-rational solutions ⋮ Solving the initial value problem for the 3-wave interaction equations in multidimensions ⋮ Complexification and integrability in multidimensions ⋮ Coherent structure of Alice-Bob modified Korteweg de-Vries equation ⋮ Exact Solutions of an Alice-Bob KP Equation*

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