Decomposition and straightening out of the coupled mixed nonlinear Schrödinger flows

DOI10.1016/S0960-0779(03)00385-0zbMath1045.37038OpenAlexW2017769740MaRDI QIDQ1878045

Hui-Hui Dai, Xiangguo Geng

Publication date: 19 August 2004

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0960-0779(03)00385-0

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)

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Cites Work

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• Nonlinearization of the Lax system for AKNS hierarchy
• Quasi-periodic solutions for some (2 + 1)-dimensional integrable models generated by the Jaulent-Miodek hierarchy
• New Finite-Dimensional Completely Integrable Systems Associated with the Sine-Gordon Equation
• A Generalization of Inverse Scattering Method
• The inverse scattering transform: Semi-infinite interval
• Relation between the Kadometsev–Petviashvili equation and the confocal involutive system
• The finite-band solution of the Jaulent–Miodek equation
• GENERALIZED r-MATRIX STRUCTURE AND ALGEBRO-GEOMETRIC SOLUTION FOR INTEGRABLE SYSTEM
• DerivingN-soliton solutions via constrained flows
• From the special 2 + 1 Toda lattice to the Kadomtsev-Petviashvili equation
• C Neumann and Bargmann systems associated with the coupled KdV soliton hierarchy
• Tata lectures on theta. II: Jacobian theta functions and differential equations. With the collaboration of C. Musili, M. Nori, E. Previato, M. Stillman, and H. Umemura