Binary Nonlinearization of Lax Pairs
solv-int
2008-02-03 v1 可精确求解与可积系统
摘要
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.
引用
@article{arxiv.solv-int/9605009,
title = {Binary Nonlinearization of Lax Pairs},
author = {Wen-Xiu Ma and Benno Fuchssteiner},
journal= {arXiv preprint arXiv:solv-int/9605009},
year = {2008}
}
备注
8 pages, latex, to appear in the Proceedings of Nonlinear Physics, Italy