Application of the Riemann–Hilbert approach to the multicomponent AKNS integrable hierarchies

A class of Riemann–Hilbert problems on the real axis is formulated for solving the multicomponent AKNS integrable hierarchies associated with a kind of bock matrix spectral problems. Through special Riemann–Hilbert problems where a jump matrix is taken to be the identity matrix, soliton solutions to...

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Bibliographic Details
Published inNonlinear analysis: real world applications Vol. 47; pp. 1 - 17
Main Author Ma, Wen-Xiu
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier Ltd 01.06.2019
Elsevier BV
Subjects
Hierarchies
Integrable hierarchy
Riemann–Hilbert problem
Soliton solution
Soliton solution
Integrable hierarchy
Riemann–Hilbert problem
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Summary:A class of Riemann–Hilbert problems on the real axis is formulated for solving the multicomponent AKNS integrable hierarchies associated with a kind of bock matrix spectral problems. Through special Riemann–Hilbert problems where a jump matrix is taken to be the identity matrix, soliton solutions to all integrable equations in each hierarchy are explicitly computed. A class of specific reductions of the presented integrable hierarchies is also made, together with its reduced Lax pairs and soliton solutions.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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ISSN:1468-1218
1878-5719
DOI:10.1016/j.nonrwa.2018.09.017