Derivative and higher-order extensions of Davey–Stewartson equation from matrix Kadomtsev–Petviashvili hierarchy

DOI10.1063/1.530955zbMath0846.35132arXivhep-th/9311153OpenAlexW1512972274MaRDI QIDQ4873271

Anjan Kundu, Walter Strampp

Publication date: 29 September 1996

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

Full work available at URL: https://arxiv.org/abs/hep-th/9311153

zbMATH Keywords

exact localized solutionsKundu-Eckhaus equationconstrained matrix KP systemextensions of the Davey-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) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Related Items (1)

A new extended matrix KP hierarchy and its solutions

Cites Work

• Solitons and infinite dimensional Lie algebras
• Constrained KP hierarchy and bi-Hamiltonian structures
• Darboux theorems and Wronskian formulas for integrable systems. I: Constrained KP flows
• Space curve evolution, geometric phase, and solitons
• A new type of soliton behavior of the Davey-Stewartson equations in a plasma system
• Multi-Vortex Solutions of a Two-Dimensional Nonlinear Wave Equation
• Nonlinear evolution equations, rescalings, model PDES and their integrability: I
• Constraints of the 2+1 dimensional integrable soliton systems
• An exact solution for a derivative nonlinear Schrödinger equation
• Integrability of Nonlinear Hamiltonian Systems by Inverse Scattering Method

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