Stability analysis of the soliton solutions for the generalized quintic derivative nonlinear Schrödinger equation

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• 作者：Chen Yue^a ; Aly Seadawy^b ; ^c ; ^{Aly742001@yahoo.com} ; Dianchen Lu^a
• 关键词：Quintic derivative NLS equation ; Solitary wave solutions ; Mathematical physics methods
• 刊名：Results in Physics
• 出版年：2016
• 出版时间：2016
• 年：2016
• 卷：6
• 期：Complete
• 页码：911-916
• 全文大小：632 K
• 卷排序：6

文摘

The propagation of hydrodynamic wave packets and media with negative refractive index is studied in a quintic derivative nonlinear Schrödinger (DNLS) equation. The quintic DNLS equation describe the wave propagation on a discrete electrical transmission line. We obtain a Lagrangian and the invariant variational principle for quintic DNLS equation. By using a class of ordinary differential equation, we found four types of exact solutions of the quintic DNLS equation, which are kink-type solitary wave solution, antikink-type solitary wave solution, sinusoidal solitary wave solution, bell-type solitary wave solution. By applying the modulation instability to discuss stability analysis of the obtained solutions. Modulation instabilities of continuous waves and localized solutions on a zero background have been investigated.