Modulation instability and dynamics for the Hermitian symmetric space derivative nonlinear Schrödinger equation
Modulation instability and dynamics for the Hermitian symmetric space derivative nonlinear Schrödinger equation
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DOI：
10.1016/j.cnsns.2019.104877
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发表时间：
2019-11
期刊：
影响因子：
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通讯作者：
Jing Shen;X. Geng;Bo Xue
中科院分区：
文献类型：
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作者：
Jing Shen;X. Geng;Bo Xue
本文分析了厄米对称空间导数非线性Schrödinger方程的调制不稳定性。基于Lax对之间的规范变换，通过对谱函数的限制，导出了厄米对称空间导数非线性Schrödinger方程的经典和广义Darboux变换，以及Darboux变换的两种紧致行列式。利用两个Darboux变换，详细讨论了该方程所有类型解的动力学行为，如单驼峰孤子解、双驼峰孤子解、眼形异常波解、四瓣异常波解、三角形异常波解等。
In this paper, we analyse modulation instability of the Hermitian symmetric space derivative nonlinear Schrödinger equation. Based on the gauge transformation between the Lax pairs, we derive a classical and a generalized Darboux transformations for the Hermitian symmetric space derivative nonlinear Schrödinger equation and two compact determinant forms of the Darboux transformations by setting a restriction on spectral functions. Employing the two Darboux transformations, dynamical behaviors of all types of solutions of this equation are discussed in detail, such as single-hump soliton solutions, double-hump soliton solutions, eye-shaped rogue wave solutions, four-petaled rogue wave solutions, triangular rogue wave solutions and so on.