Solitary wave solutions of time-space nonlinear fractional Schrodinger's equation: Two analytical approaches

被引：60

作者：

Hashemi, M. S. ^{[1
]}

Akgul, Ali ^{[2
]}

机构：

[1] Univ Bonab, Basic Sci Fac, Dept Math, POB 55517-61167, Bonab, Iran

[2] Siirt Univ, Art & Sci Fac, Dept Math, TR-56100 Siirt, Turkey

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2018年 / 339卷

关键词：

Nonlinear Schrodinger equation; Nucci method; Simplest equation method; Soliton solutions; LIE SYMMETRY ANALYSIS; NONCLASSICAL SYMMETRIES; DIFFERENTIAL-EQUATIONS; INVARIANT ANALYSIS; FISHER EQUATION; DIMENSION;

D O I：

10.1016/j.cam.2017.11.013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper obtains analytical solution of nonlinear Schrodinger equation in both time and space fractional terms. Two analytical approaches, Nucci's reduction method and simplest equation method are utilized to extract analytical solutions specially of soliton kinds. The Kerr law, power law, parabolic law, dual-power law and log law nonlinearities are considered separately. (C) 2017 Elsevier B.V. All rights reserved.

引用

页码：147 / 160

页数：14

共 50 条

[1] Dynamics of exact solitary wave solutions to the conformable time-space fractional model with reliable analytical approaches
Bilal, Muhammad
Ren, Jingli
OPTICAL AND QUANTUM ELECTRONICS, 2022, 54 (01)
[2] Dynamics of exact solitary wave solutions to the conformable time-space fractional model with reliable analytical approaches
Muhammad Bilal
Jingli Ren
Optical and Quantum Electronics, 2022, 54
[3] Bifurcation and new exact traveling wave solutions to time-space coupled fractional nonlinear Schrodinger equation
Han, Tianyong
Li, Zhao
Zhang, Xue
PHYSICS LETTERS A, 2021, 395
[4] Analytical versus numerical solutions of the nonlinear fractional time-space telegraph equation
Khater, Mostafa M. A.
Lu, Dianchen
MODERN PHYSICS LETTERS B, 2021, 35 (19):
[5] NEW SOLITARY WAVE AND MULTIPLE SOLITON SOLUTIONS FOR THE TIME-SPACE FRACTIONAL BOUSSINESQ EQUATION
Jaradat, H. M.
ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2016, (36): : 367 - 376
[6] 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
[7] A family of solutions of the time-space fractional longitudinal wave equation
Liu, Jian-Gen
Feng, Yi-Ying
COMMUNICATIONS IN THEORETICAL PHYSICS, 2023, 75 (07)
[8] Solitary wave solutions for nonlinear fractional Schrodinger equation in Gaussian nonlocal media
Zou, Guang-an
Wang, Bo
APPLIED MATHEMATICS LETTERS, 2019, 88 : 50 - 57
[9] Novel and accurate solitary wave solutions of the conformable fractional nonlinear Schrodinger equation
Zhao, Dexu
Lu, Dianchen
Salama, Samir A.
Yongphet, Piyaphong
Khater, Mostafa M. A.
JOURNAL OF LOW FREQUENCY NOISE VIBRATION AND ACTIVE CONTROL, 2022, 41 (02) : 488 - 499
[10] Analytical soliton solutions of the fractional order dual-mode nonlinear Schrodinger equation with time-space conformable sense by some procedures
Kopcasiz, Bahadir
Yasar, Emrullah
OPTICAL AND QUANTUM ELECTRONICS, 2023, 55 (07)

← 1 2 3 4 5 →