dorsal/arxiv
View SchemaPole Dynamics for Elliptic Solutions of the Korteweg-deVries Equation
| Authors | Bernard Deconinck, Harvey Segur |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9904001 |
| URL | https://arxiv.org/abs/solv-int/9904001 |
Abstract
The real, nonsingular elliptic solutions of the Korteweg-deVries equation are studied through the time dynamics of their poles in the complex plane. The dynamics of these poles is governed by a dynamical system with a constraint. This constraint is shown to be solvable for any finite number of poles located in the fundamental domain of the elliptic function, often in many different ways. Special consideration is given to those elliptic solutions that have a real nonsingular soliton limit.
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"abstract": "The real, nonsingular elliptic solutions of the Korteweg-deVries equation are\nstudied through the time dynamics of their poles in the complex plane. The\ndynamics of these poles is governed by a dynamical system with a constraint.\nThis constraint is shown to be solvable for any finite number of poles located\nin the fundamental domain of the elliptic function, often in many different\nways. Special consideration is given to those elliptic solutions that have a\nreal nonsingular soliton limit.",
"arxiv_id": "solv-int/9904001",
"authors": [
"Bernard Deconinck",
"Harvey Segur"
],
"categories": [
"solv-int",
"nlin.SI"
],
"title": "Pole Dynamics for Elliptic Solutions of the Korteweg-deVries Equation",
"url": "https://arxiv.org/abs/solv-int/9904001"
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