Version 1
: Received: 20 September 2021 / Approved: 23 September 2021 / Online: 23 September 2021 (10:31:54 CEST)
Version 2
: Received: 24 November 2021 / Approved: 24 November 2021 / Online: 24 November 2021 (13:04:55 CET)
How to cite:
Xin, B.; Chen, S. Exact Solutions and Dynamic Properties of Perturbed Nonlinear Schrodinger Equation Arised From Nano Optical Fibers. Preprints2021, 2021090399. https://doi.org/10.20944/preprints202109.0399.v2
Xin, B.; Chen, S. Exact Solutions and Dynamic Properties of Perturbed Nonlinear Schrodinger Equation Arised From Nano Optical Fibers. Preprints 2021, 2021090399. https://doi.org/10.20944/preprints202109.0399.v2
Xin, B.; Chen, S. Exact Solutions and Dynamic Properties of Perturbed Nonlinear Schrodinger Equation Arised From Nano Optical Fibers. Preprints2021, 2021090399. https://doi.org/10.20944/preprints202109.0399.v2
APA Style
Xin, B., & Chen, S. (2021). Exact Solutions and Dynamic Properties of Perturbed Nonlinear Schrodinger Equation Arised From Nano Optical Fibers. Preprints. https://doi.org/10.20944/preprints202109.0399.v2
Chicago/Turabian Style
Xin, B. and Shuangqing Chen. 2021 "Exact Solutions and Dynamic Properties of Perturbed Nonlinear Schrodinger Equation Arised From Nano Optical Fibers" Preprints. https://doi.org/10.20944/preprints202109.0399.v2
Abstract
The main idea of this paper is to investigate the exact solutions and dynamic properties in optical nanofibers, which is modeled by space-time fractional perturbed nonlinear schr\"odinger equation involving Kerr law nonlinearity with conformal fractional derivative. Firstly, by the complex fractional traveling wave transformation, the traveling wave system of the original equation is obtained, then a conserved quantity, namely the Hamiltonian is constructed, and the qualitative analysis of this system is conducted via this quantity by classifying the equilibrium points. Moreover, the prior estimate of the existence of the soliton and periodic solution is established via the bifurcation method. Furthermore, all exact traveling wave solutions are constructed to illustrate our results explicitly by the complete discrimination system for polynomial method.
Keywords
perturbed nonlinear schrodinger equation; conformal fractional derivative; prior estimate; bifurcation method; complete discrimination system for polynomial method
Subject
Computer Science and Mathematics, Applied Mathematics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Commenter: Baoshu Xin
Commenter's Conflict of Interests: Author