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The soliton perturbation theory based on the Riemann-Hilbert spectral problem

✍ Scribed by Valery S. Shchesnovich

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
760 KB
Volume
5
Category
Article
ISSN
0960-0779

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πŸ“œ SIMILAR VOLUMES

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## Abstract This paper concerns the existence of nontrivial solutions of the Riemann‐Hilbert problem with a continuous coefficient whose values belong to two rays in the complex plane. Our results extend those recently obtained by E. Shargorodsky and J. F. Toland [6]. (Β© 2004 WILEY‐VCH Verlag GmbH

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This paper presents and studies Fredholm integral equations associated with the linear Riemann-Hilbert problems on multiply connected regions with smooth boundary curves. The kernel of these integral equations is the generalized Neumann kernel. The approach is similar to that for simply connected re