Riemann-Hilbert problem, integrability and reductions
arXiv:1902.10276 · doi:10.3934/jgm.2019009
Abstract
The present paper is dedicated to integrable models with Mikhailov reduction groups 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 -action on the spectral parameter. Two new examples of Nonlinear Evolution Equations (NLEE) with symmetries are presented.
19 pages, 3 figures, Dedicated to Darryl Holm's 70th birthday