Soliton solutions of generalized time-fractional Boussinesq-like equation via three techniques

被引:23
作者
Akram, Ghazala [1 ]
Arshed, Saima [1 ]
Sadaf, Maasoomah [1 ]
机构
[1] Univ Punjab, Dept Math, Lahore 54590, Pakistan
关键词
Extended sinh-Gordon equation expansion method; exp(-phi(xi))-expansion method; Beta derivative; M-truncated derivative; SCATTERING;
D O I
10.1016/j.chaos.2023.113653
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Extraction of exact solutions for nonlinear PDEs has become very popular in recent years. The presented work deals with the investigation of time fractional perturbed Boussinesq-like equation in the sense of Beta and M-truncated derivatives. Three well-known methods, namely, extended sinh-Gordon equation expansion method, G '/G(2)-expansion method and (exp(-phi(xi)))-expansion method are used to get the traveling wave solutions of time-fractional perturbed Boussinesq-like equation. New trigonometric, hyperbolic and rational functional solutions are retrieved.
引用
收藏
页数:11
相关论文
共 19 条
[1]   The investigation of exact solutions of nonlinear partial differential equations by using exp(-Φ(ξ)) method [J].
Akbulut, Arzu ;
Kaplan, Melike ;
Tascan, Filiz .
OPTIK, 2017, 132 :382-387
[2]   Optical soliton solutions of fractional Sasa-Satsuma equation with beta and conformable derivatives [J].
Akram, Ghazala ;
Sadaf, Maasoomah ;
Arshed, Saima ;
Sabir, Habiba .
OPTICAL AND QUANTUM ELECTRONICS, 2022, 54 (11)
[3]   New soliton solutions to the perturbed nonlinear Schrodinger equation by exp(- Φ(ξ))-expansion method [J].
Arshed, Saima .
OPTIK, 2020, 220
[4]  
Arshed S, 2018, OPT QUANT ELECTRON, V50, DOI 10.1007/s11082-018-1391-6
[5]   Acoustic scattering and the extended Korteweg-de Vries hierarchy [J].
Beals, R ;
Sattinger, DH ;
Szmigielski, J .
ADVANCES IN MATHEMATICS, 1998, 140 (02) :190-206
[6]   Solitary wave dynamics of thin-film ferroelectric material equation [J].
Chu, Yu-Ming ;
Arshed, Saima ;
Sadaf, Maasoomah ;
Akram, Ghazala ;
Maqbool, Maham .
RESULTS IN PHYSICS, 2023, 45
[7]   Inverse scattering transform for the Camassa-Holm equation [J].
Constantin, Adrian ;
Gerdjikov, Vladimir S. ;
Ivanov, Rossen I. .
INVERSE PROBLEMS, 2006, 22 (06) :2197-2207
[8]   The Hydrodynamical Relevance of the Camassa-Holm and Degasperis-Procesi Equations [J].
Constantin, Adrian ;
Lannes, David .
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2009, 192 (01) :165-186
[9]   Approximate solution to a Burgers system with time and space fractional derivatives using Adomian decomposition method [J].
Foukrach, Djamal .
JOURNAL OF INTERDISCIPLINARY MATHEMATICS, 2018, 21 (01) :111-125
[10]   New Solitary Wave Patterns of the Fokas System in Fiber Optics [J].
Kaplan, Melike ;
Akbulut, Arzu ;
Alqahtani, Rubayyi T. .
MATHEMATICS, 2023, 11 (08)