Rational soliton solutions of nonlocal multicomponent nonlinear Schrödinger equations

Abstract

In this paper, we present a generalized Darboux transformation for nonlocal multicomponent nonlinear Schrödinger (NLS) equations. Also, we provide a unified formula for Nth-order rational soliton solution of discussed nonlocal multicomponent NLS equations. In particular, the first- and second-order rational soliton solutions of nonlocal three-component NLS equations are obtained. Moreover, we discuss the wave structures of these rational solitons of nonlocal three-component NLS equations with different parameters.

Keywords

• Nonlocal multicomponent nonlinear Schrödinger equations
• Generalized Darboux transformation
• Rational soliton solutions
• Wave structures