This item is available under a Creative Commons License for non-commercial use only
Pure mathematics, Applied mathematics
Abstract. The present paper is dedicated to integrable models with Mikhailov reduction groups GR ≃ Dh. 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 GR-action on the spectral parameter. Two new examples of Nonlinear Evolution Equations (NLEE) with Dh symmetries are presented.
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