dorsal/arxiv
View SchemaBinary Nonlinearization of AKNS Spectral Problem under Higher-Order Symmetry Constraints
| Authors | Yishen Li, Wen-Xiu Ma |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9808010 |
| URL | https://arxiv.org/abs/solv-int/9808010 |
Abstract
Binary nonlinearization of AKNS spectral problem is extended to the cases of higher-order symmetry constraints. The Hamiltonian structures, Lax representations, $r$-matrices and integrals of motion in involution are explicitly proposed for the resulting constrained systems in the cases of the first four orders. The obtained integrals of motion are proved to be functionally independent and thus the constrained systems are completely integrable in the Liouville sense.
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"abstract": "Binary nonlinearization of AKNS spectral problem is extended to the cases of\nhigher-order symmetry constraints. The Hamiltonian structures, Lax\nrepresentations, $r$-matrices and integrals of motion in involution are\nexplicitly proposed for the resulting constrained systems in the cases of the\nfirst four orders. The obtained integrals of motion are proved to be\nfunctionally independent and thus the constrained systems are completely\nintegrable in the Liouville sense.",
"arxiv_id": "solv-int/9808010",
"authors": [
"Yishen Li",
"Wen-Xiu Ma"
],
"categories": [
"solv-int",
"nlin.SI"
],
"title": "Binary Nonlinearization of AKNS Spectral Problem under Higher-Order Symmetry Constraints",
"url": "https://arxiv.org/abs/solv-int/9808010"
},
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