1999/03/26 by Bernard Deconinck, Harvey Segur, Deconinck, Bernard +1
Physics and Astronomy · #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #nlin.SI #solv-int
paper · pdf · doi:10.48550/arxiv.solv-int/9904001
22 pages, 12 figures. Submitted for publication
arxiv created 1999/03/26 · arxiv updated 2009/11/30
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.