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Riemann‐Hilbert problems and soliton solutions of a multicomponent mKdV system and its reduction
Ist Teil von
Mathematical methods in the applied sciences, 2019-03, Vol.42 (4), p.1099-1113
Ort / Verlag
Freiburg: Wiley Subscription Services, Inc
Erscheinungsjahr
2019
Quelle
Alma/SFX Local Collection
Beschreibungen/Notizen
An arbitrary order matrix spectral problem is introduced and its associated multicomponent AKNS integrable hierarchy is constructed. Based on this matrix spectral problem, a kind of Riemann‐Hilbert problems is formulated for a multicomponent mKdV system in the resulting AKNS integrable hierarchy. Through special corresponding Riemann‐Hilbert problems with an identity jump matrix, soliton solutions to the presented multicomponent mKdV system are explicitly worked out. A specific reduction of the multicomponent mKdV system is made, together with its reduced Lax pair and soliton solutions.