Constructing N-soliton solution for the mKdV equation through constrained flows

Details Constructing N-soliton solution for the mKdV equation through constrained flows Constructing N-soliton solution for the mKdV equation through constrained flows

2001-11-21

arxiv.org/abs/nlin/0111047v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

10 pages, Latex, to be published in "J. Phys. A: Math. Gen."

Scientific paper

10.1088/0305-4470/34/46/103

Based on the factorization of soliton equations into two commuting integrable
x- and t-constrained flows, we derive N-soliton solutions for mKdV equation via
its x- and t-constrained flows. It shows that soliton solution for soliton
equations can be constructed directly from the constrained flows.

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