Multisoliton formulas for the multi-component Fokas-Lenells equation with nonzero boundary conditions

Abstract

The multi-component Fokas-Lenells equation is considered. In particular, we present the multisoliton formulas for the system with plane-wave boundary conditions, as well as with mixed zero and plane-wave boundary conditions. A direct approach is employed to construct solutions, showing that for both boundary conditions, the multisoliton solutions have compact determinantal expressions.

Proceedings of RIMS conference, "Mathematical Aspects of nonlinear waves and their applications, October 17-19, 2018, edited by Harumichi Kyotoh, Research Institute for Mathematical Sciences, Kyoto University, Kyoto, Japan