Binary Bargmann symmetry constraints of soliton equations.

DOI10.1016/S0362-546X(01)00629-0zbMath1042.37529arXivnlin/0104069MaRDI QIDQ1875571

Wen-Xiu Ma

Publication date: 26 August 2004

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0104069

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) Soliton equations (35Q51) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (8)

Integrable counterparts of the D-Kaup-Newell soliton hierarchy ⋮ A new integrable symplectic map by the binary nonlinearization to the super AKNS system ⋮ Bäcklund Transformations on Coadjoint Orbits of the Loop Algebra ~gl(r) ⋮ Adjoint Symmetry Constraints Leading to Binary Nonlinearization ⋮ Two integrable Hamiltonian hierarchies in sl(2,R) and so(3,R) with three potentials ⋮ An integrable \(\text{SO}(3,\mathbb{R})\)-counterpart of the Heisenberg soliton hierarchy ⋮ A three-wave interaction model with self-consistent sources: the \(\overline{\partial}\)-dressing method and solutions ⋮ An integrable counterpart of the D-AKNS soliton hierarchy from \(\mathrm{so}(3,\mathbb R)\)

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