dorsal/arxiv
View SchemaBinary Nonlinearization of Lax Pairs
| Authors | Wen-Xiu Ma, Benno Fuchssteiner |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9605009 |
| URL | https://arxiv.org/abs/solv-int/9605009 |
Abstract
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.
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"abstract": "A kind of Bargmann symmetry constraints involving Lax pairs and adjoint Lax\npairs is proposed for soliton hierarchy. The Lax pairs and adjoint Lax pairs\nare nonlinearized into a hierarchy of commutative finite dimensional integrable\nHamiltonian systems and explicit integrals of motion may also be generated. The\ncorresponding binary nonlinearization procedure leads to a sort of involutive\nsolutions to every system in soliton hierarchy which are all of finite gap. An\nillustrative example is given in the case of AKNS soliton hierarchy.",
"arxiv_id": "solv-int/9605009",
"authors": [
"Wen-Xiu Ma",
"Benno Fuchssteiner"
],
"categories": [
"solv-int",
"nlin.SI"
],
"title": "Binary Nonlinearization of Lax Pairs",
"url": "https://arxiv.org/abs/solv-int/9605009"
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