Quasi-periodic solutions of the \(2+1\) dimensional modified Korteweg-de Vries equation

DOI10.1016/S0375-9601(99)00553-8zbMath0937.35155OpenAlexW1968939796MaRDI QIDQ1966999

Ce Wen Cao, Xiangguo Geng

Publication date: 8 March 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0375-9601(99)00553-8

zbMATH Keywords

quasi-periodic solutionsmodified Korteweg-de Vries equationRiemann theta functionsKaup-Newell hierarchy

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Periodic solutions to PDEs (35B10) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20)

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Cites Work

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• Nonlinearization of the Lax system for AKNS hierarchy
• Restricted flows of soliton hierarchies: coupled KdV and Harry Dym case
• Constraints of the 2+1 dimensional integrable soliton systems
• How to construct finite-dimensional bi-Hamiltonian systems from soliton equations: Jacobi integrable potentials
• Reductions of (2+1)-dimensional integrable systems via mixed potential-eigenfunction constraints
• C Neumann and Bargmann systems associated with the coupled KdV soliton hierarchy

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