ISSN:
1572-9656
Keywords:
KdV equation
;
elliptic
;
finite gap solutions
;
pole dynamics
;
Calogero-Moser
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
,
Physics
Notes:
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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1009830803696
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