dorsal/arxiv
View SchemaThe Coupled Modified Korteweg-de Vries Equations
| Authors | T. Tsuchida, M. Wadati |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9812003 |
| URL | https://arxiv.org/abs/solv-int/9812003 |
| DOI | 10.1143/JPSJ.67.1175 |
| Journal | J. Phys. Soc. Jpn. 67 (1998) 1175-1187 |
Abstract
Generalization of the modified KdV equation to a multi-component system, that is expressed by $(\partial u_i)/(\partial t) + 6 (\sum_{j,k=0}^{M-1} C_{jk} u_j u_k) (\partial u_i)/(\partial x) + (\partial^3 u_{i})/(\partial x^3) = 0, i=0, 1, ..., M-1 $, is studied. We apply a new extended version of the inverse scattering method to this system. It is shown that this system has an infinite number of conservation laws and multi-soliton solutions. Further, the initial value problem of the model is solved.
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"abstract": "Generalization of the modified KdV equation to a multi-component system, that\nis expressed by $(\\partial u_i)/(\\partial t) + 6 (\\sum_{j,k=0}^{M-1} C_{jk} u_j\nu_k) (\\partial u_i)/(\\partial x) + (\\partial^3 u_{i})/(\\partial x^3) = 0, i=0,\n1, ..., M-1 $, is studied. We apply a new extended version of the inverse\nscattering method to this system. It is shown that this system has an infinite\nnumber of conservation laws and multi-soliton solutions. Further, the initial\nvalue problem of the model is solved.",
"arxiv_id": "solv-int/9812003",
"authors": [
"T. Tsuchida",
"M. Wadati"
],
"categories": [
"solv-int",
"nlin.SI"
],
"doi": "10.1143/JPSJ.67.1175",
"journal_ref": "J. Phys. Soc. Jpn. 67 (1998) 1175-1187",
"title": "The Coupled Modified Korteweg-de Vries Equations",
"url": "https://arxiv.org/abs/solv-int/9812003"
},
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