Nth-order rogue wave solutions of multicomponent nonlinear Schrodinger equations

In this paper, a generalized Darboux transformation of multicomponent nonlinear Schrodinger (NLS) equations is constructed. N th-order rogue wave solutions of the discussed multicomponent NLS equations are obtained by the resulting generalized Darboux transformation. As two illustrative examples, different kinds of solutions of three-component and six-component NLS equations are obtained, which include rogue wave solutions and interaction solutions.

Automated summary

This paper constructs a generalized Darboux transformation for multicomponent nonlinear Schrodinger equations, resulting in N th-order rogue wave solutions. Two illustrative examples of three-component and six-component NLS equations are provided, showcasing various solutions including rogue wave solutions and interaction solutions.