dorsal/arxiv
View SchemaNon-symmetry constraints of the AKNS system yielding integrable Hamiltonian systems
| Authors | Wen-Xiu Ma, Si-Ming Zhu |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9909001 |
| URL | https://arxiv.org/abs/solv-int/9909001 |
Abstract
This paper aims to show that there exist non-symmetry constraints which yield integrable Hamiltonian systems through nonlinearization of spectral problems of soliton systems, like symmetry constraints. Taking the AKNS spectral problem as an illustrative example, a class of such non-symmetry constraints is introduced for the AKNS system, along with two-dimensional integrable Hamiltonian systems generated from the AKNS spectral problem.
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"abstract": "This paper aims to show that there exist non-symmetry constraints which yield\nintegrable Hamiltonian systems through nonlinearization of spectral problems of\nsoliton systems, like symmetry constraints. Taking the AKNS spectral problem as\nan illustrative example, a class of such non-symmetry constraints is introduced\nfor the AKNS system, along with two-dimensional integrable Hamiltonian systems\ngenerated from the AKNS spectral problem.",
"arxiv_id": "solv-int/9909001",
"authors": [
"Wen-Xiu Ma",
"Si-Ming Zhu"
],
"categories": [
"solv-int",
"nlin.SI"
],
"title": "Non-symmetry constraints of the AKNS system yielding integrable Hamiltonian systems",
"url": "https://arxiv.org/abs/solv-int/9909001"
},
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