Deriving N-soliton solutions via constrained flows

Abstract

The soliton equations can be factorized by two commuting x- and t-constrained flows. We propose a method to derive N-soliton solutions of soliton equations directly from the x- and t-constrained flows.

8 pages, AmsTex, no figures, to be published in Journal of Physics A

Cited by in corpus (3)

• Separable Hamiltonian equations on Riemann manifolds and related integrable hydrodynamic systems
• Constructing N-soliton solution for the mKdV equation through constrained flows
• Finite dimensional Hamiltonian system related to Lax pair with symplectic and cyclic symmetries