We study some novel patterns of rogue wave in the coupled cubic-quintic nonlinear Schrödinger equations. Utilizing the generalized Darboux transformation, the higher-order rogue wave pairs of the coupled system are generated. Especially, the first- and second-order rogue wave pairs are discussed in detail. It demonstrates that two classical fundamental rogue waves can be emerged from the first-order case and four or six classical fundamental rogue waves from the second-order case. In the second-order rogue wave solution, the distribution structures can be in triangle, quadrilateral and ring shapes by fixing appropriate values of the free parameters. In contrast to single-component systems, there are always more abundant rogue wave structures in multi-component ones. It is shown that the two higher-order nonlinear coefficients ρ₁ and ρ₂ make some skews of the rogue waves. Copyright © 2018 Chinese Physical Society and IOP Publishing Ltd.
CitationXu, T., Chan, W.-H., & Chen, Y. (2018). Higher-order rogue wave pairs in the coupled cubic-quintic nonlinear Schrödinger equations. Communications in Theoretical Physics, 70(2), 153-160. doi: 10.1088/0253-6102/70/2/153
- Higher-order rogue wave pairs
- Coupled cubic-quintic nonlinear Schrödinger equations
- Generalized Darboux transformation