Finite-dimensional integrable systems associated with the Davey-Stewartson I equation

DOI10.1088/0951-7715/14/4/303zbMath0992.37060arXivnlin/0103045OpenAlexW3105521731MaRDI QIDQ2730677

Zi-Xiang Zhou, Wen-Xiu Ma, Ruguang Zhou

Publication date: 9 September 2002

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0103045

zbMATH Keywords

Hamiltonianintegrabilitysolitonnonlinear constraintsDavey-Stewartson I 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) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (6)

Soliton solutions of Davey-Stewartson equation by trial equation method and ansatz approach ⋮ Finite dimensional integrable systems related to two dimensional \(A^{(2)}_{2l},C_{l}^{(1)}\) and \(D_{l+1}^{(2)}\) Toda equations ⋮ Algebro-geometric solutions to a hierarchy of (1 + 1)-dimensional and two new (2 + 1)-dimensional nonlinear evolution equations ⋮ Dromion solutions of PT-symmetric \((x,y)\)-nonlocal Davey-Stewartson I equation ⋮ A finite-dimensional integrable system related to a new coupled KdV hierarchy ⋮ INTEGRABLE HAMILTONIAN SYSTEMS RELATED TO THE AKNS SYSTEM WITH MATRIX POTENTIALS

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