Higher-Order Localized Waves in Coupled Nonlinear Schrödinger Equations
Abstract
Higher-order localized waves in coupled nonlinear Schrödinger equations are investigated by the generalized Darboux transformation. We show that two dark-bright solitons together with a second-order rogue wave of fundamental or triangular pattern and two breathers together with a second-order rogue wave of fundamental or triangular pattern coexist in the second-order localized wave for the coupled system. Moreover, by increasing the value of one free parameter, the nonlinear waves in the second-order localized wave can merge with each other. The results further reveal the abundant dynamic behaviors of localized waves in coupled systems.
- Publication:
-
Chinese Physics Letters
- Pub Date:
- September 2014
- DOI:
- 10.1088/0256-307X/31/9/090201
- Bibcode:
- 2014ChPhL..31i0201W