dorsal/arxiv
View SchemaA three-by-three matrix spectral problem for AKNS hierarchy and its binary Nonlinearization
| Authors | Wen-Xiu Ma, Benno Fuchssteiner, Walter Oevel |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9510012 |
| URL | https://arxiv.org/abs/solv-int/9510012 |
| DOI | 10.1016/S0378-4371(96)00225-7 |
Abstract
A three-by-three matrix spectral problem for AKNS soliton hierarchy is proposed and the corresponding Bargmann symmetry constraint involved in Lax pairs and adjoint Lax pairs is discussed. The resulting nonlinearized Lax systems possess classical Hamiltonian structures, in which the nonlinearized spatial system is intimately related to stationary AKNS flows. These nonlinearized Lax systems also lead to a sort of involutive solutions to each AKNS soliton equation.
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"abstract": "A three-by-three matrix spectral problem for AKNS soliton hierarchy is\nproposed and the corresponding Bargmann symmetry constraint involved in Lax\npairs and adjoint Lax pairs is discussed. The resulting nonlinearized Lax\nsystems possess classical Hamiltonian structures, in which the nonlinearized\nspatial system is intimately related to stationary AKNS flows. These\nnonlinearized Lax systems also lead to a sort of involutive solutions to each\nAKNS soliton equation.",
"arxiv_id": "solv-int/9510012",
"authors": [
"Wen-Xiu Ma",
"Benno Fuchssteiner",
"Walter Oevel"
],
"categories": [
"solv-int",
"hep-th",
"nlin.SI"
],
"doi": "10.1016/S0378-4371(96)00225-7",
"title": "A three-by-three matrix spectral problem for AKNS hierarchy and its binary Nonlinearization",
"url": "https://arxiv.org/abs/solv-int/9510012"
},
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