Soliton dynamics for one dimensional quantum system incorporating higher-order dispersion effect and nonlinear interactions

Li, Shifeng; Wang, Ying; Zhou, Yu; Guo, Jun; Gao, Guojun; Zhang, Yamei

doi:10.1016/j.cjph.2017.10.011

Cited by 7 publications

(1 citation statement)

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“…It is a very effective method to solve partial differential equations such as NLSE. Basically, it is implemented by expressing the solutions of the equations in the form of power expansion of Jacobian function [18,19]. Moreover, for the nonlinear study of the NLSE, the soliton-type solution is usually the ultimate goal of the analytical solution search.…”

Section: Introductionmentioning

confidence: 99%

Bright Soliton Solution of (1+1)-Dimensional Quantum System with Power-Law Dependent Nonlinearity

Zhao

Chen

Dai

et al. 2019

Advances in Mathematical Physics

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We study the nonlinear dynamics of (1+1)-dimensional quantum system in power-law dependent media based on the nonlinear Schrödinger equation (NLSE) incorporating power-law dependent nonlinearity, linear attenuation, self-steepening terms, and third-order dispersion term. The analytical bright soliton solution of this NLSE is derived via the F-expansion method. The key feature of the bright soliton solution is pictorially demonstrated, which together with typical analytical formulation of the soliton solution shows the applicability of our theoretical treatment.

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Section: Introductionmentioning

confidence: 99%

Bright Soliton Solution of (1+1)-Dimensional Quantum System with Power-Law Dependent Nonlinearity

Zhao

Chen

Dai

et al. 2019

Advances in Mathematical Physics

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Modulational instability, rogue waves, and envelope solitons in opposite polarity dusty plasmas

Chowdhury

Mannan

Rahman

et al. 2018

Chinese Journal of Physics

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Dust-acoustic (DA) waves (DAWs) and their modulational instability (MI) have been investigated theoretically in a plasma system consisting of inertial opposite polarity (positively and negatively) warm adiabatic charged dust particles as well as inertialess non-extensive q-distributed electrons and nonthermal ions. A nonlinear Schrödinger (NLS) equation is derived by using the reductive perturbation method. It has been observed from the analysis of NLS equaion that the modulationally stable solitary DAWs give rise to the existence of dark envelope solitons, and that the modulationally unstable solitary DAWs give rise to the existence of bright envelope solitons or rogue structures. It is also observed for the fast mode of DAWs that the basic features (viz. stability of the DAWs, MI growth rate, amplitude and width of the DA rogue waves, etc.) are significantly modified by the related plasma parameters (viz. dust masses, dust charge state, non-extensive parameter q, and non-thermal parameter α). The results of our present investigation might be useful for understanding different nonlinear electrostatic phenomena in both space (viz. ionosphere and mesosphere) and laboratory plasmas (viz. high intensity laser irradiation and hot cathode discharge).PACS. PACS-key discribing text of that key -PACS-key discribing text of that key

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Soliton solutions of higher order dispersive cubic-quintic nonlinear Schrödinger equation and its applications

Sultan

Arshad

et al. 2020

Chinese Journal of Physics

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Soliton dynamics for one dimensional quantum system incorporating higher-order dispersion effect and nonlinear interactions

Cited by 7 publications

References 1 publication

Bright Soliton Solution of (1+1)-Dimensional Quantum System with Power-Law Dependent Nonlinearity

Bright Soliton Solution of (1+1)-Dimensional Quantum System with Power-Law Dependent Nonlinearity

Modulational instability, rogue waves, and envelope solitons in opposite polarity dusty plasmas

Soliton solutions of higher order dispersive cubic-quintic nonlinear Schrödinger equation and its applications

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