dorsal/arxiv
View SchemaIntegrable Theory of the Perturbation Equations
| Authors | W. X. Ma, B. Fuchssteiner |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9604004 |
| URL | https://arxiv.org/abs/solv-int/9604004 |
| DOI | 10.1016/0960-0779(95)00104-2 |
Abstract
An integrable theory is developed for the perturbation equations engendered from small disturbances of solutions. It includes various integrable properties of the perturbation equations: hereditary recursion operators, master symmetries, linear representations (Lax and zero curvature representations) and Hamiltonian structures etc. and provides us a method to generate hereditary operators, Hamiltonian operators and symplectic operators starting from the known ones. The resulting perturbation equations give rise to a sort of integrable coupling of soliton equations. Two examples (MKdV hierarchy and KP equation) are carefully carried out.
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"abstract": "An integrable theory is developed for the perturbation equations engendered\nfrom small disturbances of solutions. It includes various integrable properties\nof the perturbation equations: hereditary recursion operators, master\nsymmetries, linear representations (Lax and zero curvature representations) and\nHamiltonian structures etc. and provides us a method to generate hereditary\noperators, Hamiltonian operators and symplectic operators starting from the\nknown ones. The resulting perturbation equations give rise to a sort of\nintegrable coupling of soliton equations. Two examples (MKdV hierarchy and KP\nequation) are carefully carried out.",
"arxiv_id": "solv-int/9604004",
"authors": [
"W. X. Ma",
"B. Fuchssteiner"
],
"categories": [
"solv-int",
"hep-th",
"nlin.SI"
],
"doi": "10.1016/0960-0779(95)00104-2",
"title": "Integrable Theory of the Perturbation Equations",
"url": "https://arxiv.org/abs/solv-int/9604004"
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