Riemann-Hilbert problems and soliton solutions of a multicomponent mKdV system and its reduction
Corresponding Author
Wen-Xiu Ma
College of Mathematics and Physics, Shanghai University of Electric Power, Shanghai, China
Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia
Department of Mathematics and Statistics, University of South Florida, Tampa, Florida
Department of Mathematics, Zhejiang Normal University, Jinhua, China
College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, China
International Institute for Symmetry Analysis and Mathematical Modelling, Department of Mathematical Sciences, North-West University, Mafikeng Campus, Mmabatho, South Africa
Correspondence
Wen-Xiu Ma, Department of Mathematics and Statistics, University of South Florida, Tampa FL 33620-5700.
Email: [email protected]
Communicated by: G. Franssens
Search for more papers by this authorCorresponding Author
Wen-Xiu Ma
College of Mathematics and Physics, Shanghai University of Electric Power, Shanghai, China
Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia
Department of Mathematics and Statistics, University of South Florida, Tampa, Florida
Department of Mathematics, Zhejiang Normal University, Jinhua, China
College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, China
International Institute for Symmetry Analysis and Mathematical Modelling, Department of Mathematical Sciences, North-West University, Mafikeng Campus, Mmabatho, South Africa
Correspondence
Wen-Xiu Ma, Department of Mathematics and Statistics, University of South Florida, Tampa FL 33620-5700.
Email: [email protected]
Communicated by: G. Franssens
Search for more papers by this authorAbstract
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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