Vector multi-rogue waves for the three-coupled fourth-order nonlinear Schrödinger equations in an alpha helical protein
Vector multi-rogue waves for the three-coupled fourth-order nonlinear Schrödinger equations in an alpha helical protein
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DOI：
10.1016/j.cnsns.2018.06.014
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发表时间：
2019-02
期刊：
影响因子：
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通讯作者：
Zhong Du;B. Tian;Han-Peng Chai;Yu-Qiang Yuan
中科院分区：
文献类型：
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作者：
Zhong Du;B. Tian;Han-Peng Chai;Yu-Qiang Yuan
本文研究了三耦合四阶非线性薛定谔方程的矢量多流氓波，该方程描述了具有最近邻和次最近邻相互作用以及棘间耦合的α螺旋蛋白质的动力学行为.通过达布-缀饰变换，得到了矢量多重无赖波解。在此基础上，给出了单矢量无赖波、矢量无赖波对和三矢量无赖波的图解。我们发现，一个四瓣流氓波与两个驼峰和两个山谷出现在两个组件，而另一个组件有一个眼睛形状的流氓波。流氓波的存在时间随着α螺旋蛋白质中高阶线性和非线性效应的强度而减小。我们还得到了分离和相互作用的矢量流氓波对，以及三重矢量流氓波。此外，我们通过线性稳定性分析验证了基带调制的不稳定性。
In this paper, we investigate the vector multi-rogue waves for the three-coupled fourth-order nonlinear Schrödinger equations, which describe the dynamics of an alpha helical protein with the nearest and next-nearest neighbor interactions and interspine coupling. Via the Darboux-dressing transformation, the vector multi-rogue-wave solutions are derived. Based on such solutions, we present the single vector rogue wave, vector rogue wave pair and triple vector rogue wave graphically. We show that a four-petaled rogue wave with two humps and two valleys appears in two components, while the other component has an eye-shaped rogue wave. Existing time of the rogue wave decreases with the strength of higher-order linear and nonlinear effects in the alpha helical protein. We also obtain the separated and interacting vector rogue wave pairs, as well as the triple vector rogue waves. Moreover, we verify the baseband modulation instability through the linear stability analysis.