dorsal/arxiv
View SchemaSpatiotemporal chaotic dynamics of solitons with internal structure in the presence of finite-width inhomogeneities
| Authors | L. E. Guerrero, A. Bellorin, J. R. Carbo, J. A. Gonzalez |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9904003 |
| URL | https://arxiv.org/abs/patt-sol/9904003 |
| DOI | 10.1016/S0960-0779(98)00134-9 |
| Journal | Chaos, Solitons and Fractals 10, 1491 (1999) |
Abstract
We present an analytical and numerical study of the Klein-Gordon kink-soliton dynamics in inhomogeneous media. In particular, we study an external field that is almost constant for the whole system but that changes its sign at the center of coordinates and a localized impurity with finite-width. The soliton solution of the Klein-Gordon-like equations is usually treated as a structureless point-like particle. A richer dynamics is unveiled when the extended character of the soliton is taken into account. We show that interesting spatiotemporal phenomena appear when the structure of the soliton interacts with finite-width inhomogeneities. We solve an inverse problem in order to have external perturbations which are generic and topologically equivalent to well-known bifurcation models and such that the stability problem can be solved exactly. We also show the different quasiperiodic and chaotic motions the soliton undergoes as a time-dependent force pumps energy into the traslational mode of the kink and relate these dynamics with the excitation of the shape modes of the soliton.
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"abstract": "We present an analytical and numerical study of the Klein-Gordon kink-soliton\ndynamics in inhomogeneous media. In particular, we study an external field that\nis almost constant for the whole system but that changes its sign at the center\nof coordinates and a localized impurity with finite-width. The soliton solution\nof the Klein-Gordon-like equations is usually treated as a structureless\npoint-like particle. A richer dynamics is unveiled when the extended character\nof the soliton is taken into account. We show that interesting spatiotemporal\nphenomena appear when the structure of the soliton interacts with finite-width\ninhomogeneities. We solve an inverse problem in order to have external\nperturbations which are generic and topologically equivalent to well-known\nbifurcation models and such that the stability problem can be solved exactly.\nWe also show the different quasiperiodic and chaotic motions the soliton\nundergoes as a time-dependent force pumps energy into the traslational mode of\nthe kink and relate these dynamics with the excitation of the shape modes of\nthe soliton.",
"arxiv_id": "patt-sol/9904003",
"authors": [
"L. E. Guerrero",
"A. Bellorin",
"J. R. Carbo",
"J. A. Gonzalez"
],
"categories": [
"patt-sol",
"nlin.PS"
],
"doi": "10.1016/S0960-0779(98)00134-9",
"journal_ref": "Chaos, Solitons and Fractals 10, 1491 (1999)",
"title": "Spatiotemporal chaotic dynamics of solitons with internal structure in the presence of finite-width inhomogeneities",
"url": "https://arxiv.org/abs/patt-sol/9904003"
},
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