dorsal/arxiv
View SchemaExact Solutions of the One-Dimensional Quintic Complex Ginzburg-Landau Equation
| Authors | Philippe Marcq, Hugues Chate', Robert Conte |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9310004 |
| URL | https://arxiv.org/abs/patt-sol/9310004 |
| DOI | 10.1016/0167-2789(94)90102-3 |
Abstract
Exact solitary wave solutions of the one-dimensional quintic complex Ginzburg-Landau equation are obtained using a method derived from the Painlev\'e test for integrability. These solutions are expressed in terms of hyperbolic functions, and include the pulses and fronts found by van Saarloos and Hohenberg. We also find previously unknown sources and sinks. The emphasis is put on the systematic character of the method which breaks away from approaches involving somewhat ad hoc Ans\"atze.
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"abstract": "Exact solitary wave solutions of the one-dimensional quintic complex\nGinzburg-Landau equation are obtained using a method derived from the\nPainlev\\\u0027e test for integrability. These solutions are expressed in terms of\nhyperbolic functions, and include the pulses and fronts found by van Saarloos\nand Hohenberg. We also find previously unknown sources and sinks. The emphasis\nis put on the systematic character of the method which breaks away from\napproaches involving somewhat ad hoc Ans\\\"atze.",
"arxiv_id": "patt-sol/9310004",
"authors": [
"Philippe Marcq",
"Hugues Chate\u0027",
"Robert Conte"
],
"categories": [
"patt-sol",
"nlin.PS"
],
"doi": "10.1016/0167-2789(94)90102-3",
"title": "Exact Solutions of the One-Dimensional Quintic Complex Ginzburg-Landau Equation",
"url": "https://arxiv.org/abs/patt-sol/9310004"
},
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