Optical solitons for a family of nonlinear (1+1)-dimensional time-space fractional Schrodinger models

被引：0

作者：

Darvishi, M. T. ^{[1
]}

Ahmadian, S. ^{[2
]}

Arbabi, S. Baloch ^{[3
]}

Najafi, M. ^{[1
]}

机构：

[1] Razi Univ, Dept Math, Kermanshah, Iran

[2] Islamic Azad Univ, Kermanshah Branch, Young Researchers & Elite Club, Kermanshah, Iran

[3] Islamic Azad Univ, Kerman Branch, Young Researchers & Elite Club, Kerman, Iran

来源：

OPTICAL AND QUANTUM ELECTRONICS | 2018年 / 50卷 / 01期

关键词：

Fractional nonlinear Schrodinger models; Sine-cosine method; Exact traveling wave solutions; CAHN-ALLEN EQUATION; PERTURBATION;

D O I：

10.1007/s11082-017-1304-0

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

In this paper, the sine-cosine method is employed to construct exact solutions of the space-time fractional (1 + 1)-dimensional nonlinear Schrodinger models. Many new families of exact traveling wave solutions of these models are successfully obtained. It is shown that the proposed method provides a more powerful mathematical tool for solving nonlinear space-time fractional evolution equations in mathematical physics.

引用

页数：20

共 50 条

[1] Optical solitons to the space-time fractional (1+1)-dimensional coupled nonlinear Schrodinger equation
Esen, Alaattin
Sulaiman, Tukur Abdulkadir
Bulut, Hasan
Baskonus, Haci Mehmet
OPTIK, 2018, 167 : 150 - 156
[2] On some novel solitons to the generalized (1+1)-dimensional unstable space-time fractional nonlinear Schrodinger model emerging in the optical fibers
Seadawy, Aly R.
Tariq, Kalim U.
OPTICAL AND QUANTUM ELECTRONICS, 2021, 53 (01)
[3] Optical soliton solutions of the (1+1)-dimensional space-time fractional single and coupled nonlinear Schrodinger equations
Chen, Yi-Xiang
Xiao, Xiao
Mei, Zhen-Lin
RESULTS IN PHYSICS, 2020, 18
[4] Optical solitons using optimal homotopy analysis method for time-fractional (1+1)-dimensional coupled nonlinear Schrodinger equations
Ali, Khalid K.
Maneea, M.
OPTIK, 2023, 283
[5] Conformable space-time fractional nonlinear (1+1)-dimensional Schrodinger-type models and their traveling wave solutions
Darvishi, M. T.
Najafi, Mohammad
Wazwaz, Abdul-Majid
CHAOS SOLITONS & FRACTALS, 2021, 150
[6] Soliton solutions to the generalized (1+1)-dimensional unstable space time-fractional nonlinear Schrodinger model
Raheel, Muhammad
Bekir, Ahmet
Tariq, Kalim U.
Cevikel, Adem
OPTICAL AND QUANTUM ELECTRONICS, 2022, 54 (10)
[7] Optical solitons and modulation instability analysis of the (1+1)-dimensional coupled nonlinear Schrodinger equation
Sulaiman, Tukur Abdulkadir
Bulut, Hasan
COMMUNICATIONS IN THEORETICAL PHYSICS, 2020, 72 (02)
[8] Fractional optical solitons of the space-time fractional nonlinear Schrodinger equation
Wu, Gang-Zhou
Yu, Li-Jun
Wang, Yue-Yue
OPTIK, 2020, 207
[9] Optical solitons of the (1+1)-dimensional higher-order nonlinear Schrodinger equations with PT-symmetric potentials
Xu, Bijun
Yan, Mengyao
Sun, Zhichao
Tong, Xin
OPTIK, 2019, 181 : 1019 - 1022
[10] Approximate solution to the time-space fractional cubic nonlinear Schrodinger equation
Herzallah, Mohamed A. E.
Gepreel, Khaled A.
APPLIED MATHEMATICAL MODELLING, 2012, 36 (11) : 5678 - 5685

← 1 2 3 4 5 →