Binary Nonlinearization of Lax Pairs

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A kind of Bargmann symmetry constraints involving Lax pairs and adjoint Lax pairs is proposed for soliton hierarchy. The Lax pairs and adjoint Lax pairs are nonlinearized into a hierarchy of commutative finite dimensional integrable Hamiltonian systems and explicit integrals of motion may also be generated. The corresponding binary nonlinearization procedure leads to a sort of involutive solutions to every system in soliton hierarchy which are all of finite gap. An illustrative example is given in the case of AKNS soliton hierarchy.
8 pages, latex, to appear in the Proceedings of Nonlinear Physics, Italy

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Exactly Solvable and Integrable Systems

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http://salesiana.dossiersoluciones.com/handle/123456789/153826

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/solv-int/9605009
 http://arxiv.org/abs/solv-int/9605009

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arXiv