Determinant solutions and asymptotic state analysis for an integrable model of transient stimulated Raman scattering
Determinant solutions and asymptotic state analysis for an integrable model of transient stimulated Raman scattering
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DOI：
10.1016/j.ijleo.2019.163348
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发表时间：
2020
期刊：
影响因子：
3.1
通讯作者：
Xiang-Hua Meng;Xiaoyong Wen;L. Piao;Wang Dengshan
中科院分区：
文献类型：
--
作者：
Xiang-Hua Meng;Xiaoyong Wen;L. Piao;Wang Dengshan
本文通过达布变换研究了描述瞬态极限下受激拉曼散射的瞬态受激拉曼散射方程。考虑到平凡的初始解，给出了瞬态受激拉曼散射方程行列式形式的显式N-孤子解。基于显式解公式，明确给出了一孤子解和二孤子解。对双孤子解进行了渐近态分析。并对不同的孤子传播现象进行了讨论和说明，包括但不限于平顶孤子、双峰孤子和具有周期结构的束缚二孤子，这有助于理解不同波参数下的相互作用特性。
In this paper, the transient stimulated Raman scattering equations, which describe the stimulated Raman scattering in the transient limit, are investigated by Darboux transformation. Considering the trivial initial solutions, the explicitN-soliton solutions in determinant form for the transient stimulated Raman scattering equations are presented. Based on the explicit solutions formula, the one- and two-soliton solutions are given explicitly. The asymptotic state analysis of the two-soliton solutions is conducted. And different soliton propagation phenomena are discussed and illustrated including but not limited to the flat-top soliton, the two-hump soliton and bound two soliton with periodic structure, which is good for understanding the interaction properties under different wave parameters.