dorsal/arxiv
View SchemaQuasi-Solitons in Dissipative Systems and Exactly Solvable Lattice Models
| Authors | Yuji Igarashi, Katsmi Itoh, Ken Nakanishi, Kazuhiro Ogura, Ken Yokokawa |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9902001 |
| URL | https://arxiv.org/abs/patt-sol/9902001 |
| DOI | 10.1103/PhysRevLett.83.718 |
Abstract
A system of first-order differential-difference equations with time lag describes the formation of density waves, called as quasi-solitons for dissipative systems in this paper. For co-moving density waves, the system reduces to some exactly solvable lattice models. We construct a shock-wave solution as well as one-quasi-soliton solution, and argue that there are pseudo-conserved quantities which characterize the formation of the co-moving waves. The simplest non-trivial one is given to discuss the presence of a cascade phenomena in relaxation process toward the pattern formation.
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"abstract": "A system of first-order differential-difference equations with time lag\ndescribes the formation of density waves, called as quasi-solitons for\ndissipative systems in this paper. For co-moving density waves, the system\nreduces to some exactly solvable lattice models. We construct a shock-wave\nsolution as well as one-quasi-soliton solution, and argue that there are\npseudo-conserved quantities which characterize the formation of the co-moving\nwaves. The simplest non-trivial one is given to discuss the presence of a\ncascade phenomena in relaxation process toward the pattern formation.",
"arxiv_id": "patt-sol/9902001",
"authors": [
"Yuji Igarashi",
"Katsmi Itoh",
"Ken Nakanishi",
"Kazuhiro Ogura",
"Ken Yokokawa"
],
"categories": [
"patt-sol",
"nlin.PS"
],
"doi": "10.1103/PhysRevLett.83.718",
"title": "Quasi-Solitons in Dissipative Systems and Exactly Solvable Lattice Models",
"url": "https://arxiv.org/abs/patt-sol/9902001"
},
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