Nonlinear Excitation and State Transition of Multi-Peak Solitons
Xiang-Shu Liu1,2 , Yang Ren1,3 , Zhan-Ying Yang1,3** , Chong Liu1,3** , Wen-Li Yang3,4
1 School of Physics, Northwest University, Xi'an 7100692 Faculty of Science, Qinzhou University, Qinzhou 5350003 Shaanxi Key Laboratory for Theoretical Physics Frontiers, Xi'an 7100694 Institute of Modern Physics, Northwest University, Xi'an 710069
Abstract ：We study the nonlinear excitations in the integrable fifth-order nonlinear Schrödinger equation on a continuous wave background. The excited condition of each localized wave is demonstrated via concise phase diagrams. In particular, the rule of transition between asymmetric and symmetric multi-peak solitons is revealed. It is shown that the initial phase modulation can induce the transition and the transition condition is demonstrated exactly. Interestingly, our result shows that although the multi-peak solitons exhibit structural diversity, both the asymmetric and symmetric states possess an identical asymmetric spectrum structure.
收稿日期: 2018-03-13
出版日期: 2018-06-24
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2018, Vol. 35 
