Riemann-Hilbert Problem, Integrability and Reductions

Authors

Vladimir Gerdjikov, Institute of Mathematics and Informatics, Bulgarian Academy of SciencesFollow
Rossen Ivanov, Technological University DublinFollow
Aleksander Stefanov, Institute of Mathematics and Informatics, Bulgarian Academy of Sciences

Document Type

Article

Rights

This item is available under a Creative Commons License for non-commercial use only

Disciplines

Pure mathematics, Applied mathematics

Publication Details

Journal of Geometric Mechanics, 2019, 11 (2) : 167-185

Abstract

Abstract. The present paper is dedicated to integrable models with Mikhailov reduction groups G_R ≃ D_h. Their Lax representation allows us to prove, that their solution is equivalent to solving Riemann-Hilbert problems, whose contours depend on the realization of the G_R-action on the spectral parameter. Two new examples of Nonlinear Evolution Equations (NLEE) with D_h symmetries are presented.

DOI

https://doi.org/10.3934/jgm.2019009

Recommended Citation

Gerdjikov, V.S., Ivanov, R.I. Stefanov, A., (2019) Riemann-Hilbert problem, integrability and reductions. Journal of Geometric Mechanics, 2019, 11 (2) : 167-185. DOI : 10.3934/jgm.2019009