Darboux transformation and soliton solutions for nonlocal Kundu-NLS equation

In this paper, we mainly study soliton solutions for nonlocal Kundu-nonlinear Schrodinger (Kundu-NLS) equation via the Darboux transformation. The nonlocal Kundu-NLS equation can be obtained through a symmetry reduction r(x,t) = q*(-x,t). The form of N-soliton solutions for the nonlocal Kundu-NLS equation can be investigated via the one-fold and n-fold Darboux transformation. Particularly, from the Darboux transformation of the nonlocal Kundu-NLS equation, we obtain some exact solutions for the nonlocal Kundu-NLS equation with different spectral parameters and corresponding graphs are given.

Automated summary

In this paper, soliton solutions for the nonlocal Kundu-nonlinear Schrodinger equation were studied using the Darboux transformation. The N-soliton solutions for the equation were investigated through the one-fold and n-fold Darboux transformation. Exact solutions for the equation with different spectral parameters were obtained and corresponding graphs were provided.