Riemann‐Hilbert problems and soliton solutions of a multicomponent mKdV system and its reduction

Riemann‐Hilbert problems and soliton solutions of a multicomponent mKdV system and its reduction

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. Th...

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Veröffentlicht in:Mathematical methods in the applied sciences 2019-03, Vol.42 (4), p.1099-1113
1. Verfasser: Ma, Wen‐Xiu
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matrix spectral problem
Reduction
Riemann‐Hilbert problem
soliton solution
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description 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.
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source Wiley Online Library Journals Frontfile Complete
subjects matrix spectral problem
Reduction
Riemann‐Hilbert problem
soliton solution
title Riemann‐Hilbert problems and soliton solutions of a multicomponent mKdV system and its reduction
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