dorsal/arxiv
View SchemaSeparation of variables for soliton equations via their binary constrained flows
| Authors | Yunbo Zeng, Wen-Xiu Ma |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9911007 |
| URL | https://arxiv.org/abs/solv-int/9911007 |
| DOI | 10.1063/1.533105 |
Abstract
Binary constrained flows of soliton equations admitting $2\times 2$ Lax matrices have 2N degrees of freedom, which is twice as many as degrees of freedom in the case of mono-constrained flows. For their separation of variables only N pairs of canonical separated variables can be introduced via their Lax matrices by using the normal method. A new method to introduce the other N pairs of canonical separated variables and additional separated equations is proposed. The Jacobi inversion problems for binary constrained flows are established. Finally, the factorization of soliton equations by two commuting binary constrained flows and the separability of binary constrained flows enable us to construct the Jacobi inversion problems for some soliton hierarchies.
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"abstract": "Binary constrained flows of soliton equations admitting $2\\times 2$ Lax\nmatrices have 2N degrees of freedom, which is twice as many as degrees of\nfreedom in the case of mono-constrained flows. For their separation of\nvariables only N pairs of canonical separated variables can be introduced via\ntheir Lax matrices by using the normal method. A new method to introduce the\nother N pairs of canonical separated variables and additional separated\nequations is proposed. The Jacobi inversion problems for binary constrained\nflows are established. Finally, the factorization of soliton equations by two\ncommuting binary constrained flows and the separability of binary constrained\nflows enable us to construct the Jacobi inversion problems for some soliton\nhierarchies.",
"arxiv_id": "solv-int/9911007",
"authors": [
"Yunbo Zeng",
"Wen-Xiu Ma"
],
"categories": [
"solv-int",
"nlin.SI"
],
"doi": "10.1063/1.533105",
"title": "Separation of variables for soliton equations via their binary constrained flows",
"url": "https://arxiv.org/abs/solv-int/9911007"
},
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