Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
837277 | Nonlinear Analysis: Real World Applications | 2013 | 14 Pages |
In this paper, the modified Darboux transformation method is applied to the coupled nonlinear Schrödinger (CNLS) equations. By using the iterative algorithm of the Darboux transformation, the multi-rogue wave solutions of CNLS equations are generated from the plane wave solution. The hierarchies of first-, second- and third-order rational solutions with free parameters are explicitly presented. Some basic properties of multi-rogue waves and their collision structures are studied on the basis of the solutions obtained. In addition, the relation of rational solutions between NN-CNLS equations and CNLS equations is explained. Our results might provide useful information for investigating the dynamics of multi-rogue waves in the deep ocean and nonlinear optical fibers.