title: Breather-to-soliton transitions, nonlinear wave interactions, and modulational instability in a higher-order generalized nonlinear Schrödinger equation.
abstract: We study the nonlinear waves on constant backgrounds of the higher-order generalized nonlinear Schrödinger (HGNLS) equation describing the propagation of ultrashort optical pulse in optical fibers. We derive the breather, rogue wave, and semirational solutions of the HGNLS equation. Our results show that these three types of solutions can be converted into the nonpulsating soliton solutions. In particular, we present the explicit conditions for the transitions between breathers and solitons with different structures. Further, we investigate the characteristics of the collisions between the soliton and breathers. Especially, based on the semirational solutions of the HGNLS equation, we display the novel interactions between the rogue waves and other nonlinear waves. In addition, we reveal the explicit relation between the transition and the distribution characteristics of the modulation instability growth rate.
authors: Department of Mathematics and Physics, North China Electric Power University, Beijing 102206, P. R. China.
authors: Lei
authors: L
authors: Wang
authors: School of Energy Power and Mechanical Engneering, North China Electric Power University, Beijing 102206, P. R. China.
authors: Jian-Hui
authors: JH
authors: Zhang
authors: School of Energy Power and Mechanical Engneering, North China Electric Power University, Beijing 102206, P. R. China.
authors: Zi-Qi
authors: ZQ
authors: Wang
authors: School of Physics, Northwest University, Xi'an 710069, P. R. China.
authors: Chong
authors: C
authors: Liu
authors: Department of Mathematics and Physics, North China Electric Power University, Beijing 102206, P. R. China.
authors: Min
authors: M
authors: Li
authors: School of Information, Beijing Wuzi University, Beijing 101149, P. R. China.
authors: Feng-Hua
authors: FH
authors: Qi
authors: School of Mathematics, Taiyuan University of Technology, Taiyuan 030024, P. R. China.
authors: Rui
authors: R
authors: Guo