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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Main Authors: Chen Yue, Aly Seadawy, Dianchen Lu
Format: Article
Language:English
Published: Elsevier 2016-01-01
Series:Results in Physics
Online Access:http://www.sciencedirect.com/science/article/pii/S2211379716302418
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spelling 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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AT alyseadawy stabilityanalysisofthesolitonsolutionsforthegeneralizedquinticderivativenonlinearschrodingerequation
AT dianchenlu stabilityanalysisofthesolitonsolutionsforthegeneralizedquinticderivativenonlinearschrodingerequation
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