dorsal/arxiv
View SchemaSoliton structure dynamics in inhomogeneous media
| Authors | L. E. Guerrero, A. Bellorin, J. A. Gonzalez |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9905011 |
| URL | https://arxiv.org/abs/patt-sol/9905011 |
| DOI | 10.1016/S0378-4371(98)00331-8 |
| Journal | Physica A 260, 418 (1998) |
Abstract
We show that soliton interaction with finite-width inhomogeneities can activate a great number of soliton internal modes. We obtain the exact stationary soliton solution in the presence of inhomogeneities and solve exactly the stability problem. We present a Karhunen-Loeve analysis of the soliton structure dynamics as a time-dependent force pumps energy into the traslational mode of the kink. We show the importance of the internal modes of the soliton as they can generate shape chaos for the soliton as well as cases in which the first shape mode leads the dynamics.
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"abstract": "We show that soliton interaction with finite-width inhomogeneities can\nactivate a great number of soliton internal modes. We obtain the exact\nstationary soliton solution in the presence of inhomogeneities and solve\nexactly the stability problem. We present a Karhunen-Loeve analysis of the\nsoliton structure dynamics as a time-dependent force pumps energy into the\ntraslational mode of the kink. We show the importance of the internal modes of\nthe soliton as they can generate shape chaos for the soliton as well as cases\nin which the first shape mode leads the dynamics.",
"arxiv_id": "patt-sol/9905011",
"authors": [
"L. E. Guerrero",
"A. Bellorin",
"J. A. Gonzalez"
],
"categories": [
"patt-sol",
"nlin.PS"
],
"doi": "10.1016/S0378-4371(98)00331-8",
"journal_ref": "Physica A 260, 418 (1998)",
"title": "Soliton structure dynamics in inhomogeneous media",
"url": "https://arxiv.org/abs/patt-sol/9905011"
},
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