Generalized Darboux transformation and rogue wave solution of the coherently-coupled nonlinear Schrodinger system

摘要

In this paper, the generalized Darboux transformation for the coherently-coupled nonlinear Schriidinger (CCNLS) system is constructed in terms of determinant representations. Based on the Nth-iterated formula, the vector bright soliton solution and vector rogue wave solution are systematically derived under the nonvanishing background. The general first-order vector rogue wave solution can admit many different fundamental patterns including eye-shaped and four-petaled rogue waves. It is believed that there are many more abundant patterns for high order vector rogue waves in CCNLS system.