Stability analysis of the soliton solutions for the generalized quintic derivative nonlinear Schrödinger equation
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...
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doaj-14f51a558c424f4bb24a4810e44f8a002020-11-24T21:58:32ZengElsevierResults in Physics2211-37972016-01-016911916Stability analysis of the soliton solutions for the generalized quintic derivative nonlinear Schrödinger equationChen Yue0Aly Seadawy1Dianchen Lu2Department of Mathematics, Faculty of Science, Jiangsu University, ChinaMathematics Department, Faculty of Science, Taibah University, Al-Ula, Saudi Arabia; Mathematics Department, Faculty of Science, Beni-Suef University, Egypt; Corresponding author at: Mathematics Department, Faculty of Science, Taibah University, Al-Ula, Saudi Arabia.Department of Mathematics, Faculty of Science, Jiangsu University, ChinaThe 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. Keywords: Quintic derivative NLS equation, Solitary wave solutions, Mathematical physics methods, 2000 MR Subject Classification: 35G20, 35Q53, 37K10, 49S05, 76A60http://www.sciencedirect.com/science/article/pii/S2211379716302418 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Chen Yue Aly Seadawy Dianchen Lu |
spellingShingle |
Chen Yue Aly Seadawy Dianchen Lu Stability analysis of the soliton solutions for the generalized quintic derivative nonlinear Schrödinger equation Results in Physics |
author_facet |
Chen Yue Aly Seadawy Dianchen Lu |
author_sort |
Chen Yue |
title |
Stability analysis of the soliton solutions for the generalized quintic derivative nonlinear Schrödinger equation |
title_short |
Stability analysis of the soliton solutions for the generalized quintic derivative nonlinear Schrödinger equation |
title_full |
Stability analysis of the soliton solutions for the generalized quintic derivative nonlinear Schrödinger equation |
title_fullStr |
Stability analysis of the soliton solutions for the generalized quintic derivative nonlinear Schrödinger equation |
title_full_unstemmed |
Stability analysis of the soliton solutions for the generalized quintic derivative nonlinear Schrödinger equation |
title_sort |
stability analysis of the soliton solutions for the generalized quintic derivative nonlinear schrödinger equation |
publisher |
Elsevier |
series |
Results in Physics |
issn |
2211-3797 |
publishDate |
2016-01-01 |
description |
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. Keywords: Quintic derivative NLS equation, Solitary wave solutions, Mathematical physics methods, 2000 MR Subject Classification: 35G20, 35Q53, 37K10, 49S05, 76A60 |
url |
http://www.sciencedirect.com/science/article/pii/S2211379716302418 |
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