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

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Original languageEnglish
Journal / PublicationJournal of Physics A: Mathematical and General
Volume34
Issue number46
Publication statusPublished - 23 Nov 2001

Abstract

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