Two types of new integrable decompositions of the Kaup-Newell equation

DOI10.1016/j.chaos.2005.09.009zbMath1142.37359OpenAlexW1969363199MaRDI QIDQ943298

Jie Ji, Ruguang Zhou

Publication date: 9 September 2008

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

Full work available at URL: https://doi.org/10.1016/j.chaos.2005.09.009

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10)

Related Items (4)

Darboux transformation and Hamiltonian structure for the Jaulent-Miodek hierarchy ⋮ Two-component super AKNS equations and their finite-dimensional integrable super Hamiltonian system ⋮ Two hierarchies of multi-component Kaup-Newell equations and theirs integrable couplings ⋮ Hierarchies, integrable decompositions and conservation laws of Geng equation

Cites Work

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• New factorization of the Kaup-Newell hierarchy
• Constrained dynamics. With applications to Yang-Mills theory, general relativity, classical spin, dual string model
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• An exact solution for a derivative nonlinear Schrödinger equation
• New finite-dimensional integrable systems and explicit solutions of Hirota–Satsuma coupled Kortweg–de Vries equation
• Finite-band solutions of the classical Boussinesq–Burgers equations
• Adjoint Symmetry Constraints Leading to Binary Nonlinearization
• An explicit symmetry constraint for the Lax pairs and the adjoint Lax pairs of AKNS systems

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