dorsal/arxiv
View SchemaBinary Nonlinearization of Lax pairs of Kaup-Newell Soliton Hierarchy
| Authors | Wen-Xiu Ma, Qing Ding, Wei-Guo Zhang, Bao-Qun Lu |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9608003 |
| URL | https://arxiv.org/abs/solv-int/9608003 |
| DOI | 10.1007/BF02743224 |
Abstract
Kaup-Newell soliton hierarchy is derived from a kind of Lax pairs different from the original ones. Binary nonlinearization procedure corresponding to the Bargmann symmetry constraint is carried out for those Lax pairs. The proposed Lax pairs together with adjoint Lax pairs are constrained as a hierarchy of commutative, finite dimensional integrable Hamiltonian systems in the Liouville sense, which also provides us with new examples of finite dimensional integrable Hamiltonian systems. A sort of involutive solutions to the Kaup-Newell hierarchy are exhibited through the obtained finite dimensional integrable systems and the general involutive system engendered by binary nonlinearization is reduced to a specific involutive system generated by mono-nonlinearization.
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"abstract": "Kaup-Newell soliton hierarchy is derived from a kind of Lax pairs different\nfrom the original ones. Binary nonlinearization procedure corresponding to the\nBargmann symmetry constraint is carried out for those Lax pairs. The proposed\nLax pairs together with adjoint Lax pairs are constrained as a hierarchy of\ncommutative, finite dimensional integrable Hamiltonian systems in the Liouville\nsense, which also provides us with new examples of finite dimensional\nintegrable Hamiltonian systems. A sort of involutive solutions to the\nKaup-Newell hierarchy are exhibited through the obtained finite dimensional\nintegrable systems and the general involutive system engendered by binary\nnonlinearization is reduced to a specific involutive system generated by\nmono-nonlinearization.",
"arxiv_id": "solv-int/9608003",
"authors": [
"Wen-Xiu Ma",
"Qing Ding",
"Wei-Guo Zhang",
"Bao-Qun Lu"
],
"categories": [
"solv-int",
"nlin.SI"
],
"doi": "10.1007/BF02743224",
"title": "Binary Nonlinearization of Lax pairs of Kaup-Newell Soliton Hierarchy",
"url": "https://arxiv.org/abs/solv-int/9608003"
},
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