Details

Autor(en) / Beteiligte

• Ma, Wen‐Xiu

Titel

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.