The determinant representation of Darboux transformation for the Kulish–Sklyanin model and novel soliton solutions for [formula omitted

Abstract

In this article, we formulate a determinant representation of the Darboux transformation for the Kulish–Sklyanin (KS) model, which can be viewed as a generalization of the nonlinear Schrödinger equation, and obtain a new compact formula of n-soliton solution for the KS system. As applications of the formula, the abundant dynamics of one-, two- and three-soliton solutions for the case m=2 are discussed. The different structures of soliton solitons are obtained by setting different parameters.