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solv-int1999
Pole Dynamics for Elliptic Solutions of the Korteweg-deVries Equation
Bernard Deconinck, Harvey Segur
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…
solv-int1998
Canonical variables for multiphase solutions of the KP equation
Bernard Deconinck
The KP equation has a large family of quasiperiodic multiphase solutions. These solutions can be expressed in terms of Riemann-theta functions. In this paper, a finite-dimensional…