Pole Dynamics for Elliptic Solutions of the Korteweg-deVries Equation |
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Authors: | Deconinck Bernard Segur Harvey |
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Institution: | (1) Department of Applied Mathematics, University of Washington, Box 352420, Seattle, Washington, 98195, U.S.A.;(2) Department of Applied Mathematics, University of Colorado, Boulder, CO, 80309-0526, U.S.A. |
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Abstract: | The real, nonsingular elliptic solutions of the Korteweg-de Vries 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 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.
This revised version was published online in July 2006 with corrections to the Cover Date. |
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Keywords: | KdV equation elliptic finite gap solutions pole dynamics Calogero-Moser |
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