The investigation of exact solutions of Korteweg-de vries equation with dual power law nonlinearity using the expa and exp(-Φ(ξ)) methods

被引:8
作者
Akram, Ghazala [1 ]
Sajid, Naila [1 ]
机构
[1] Univ Punjab, Dept Math, Quaid E Azam Campus, Lahore 54590, Pakistan
关键词
The exp(a) method; the exp(-Phi(xi))-expansion method; KdV equation; dual power law nonlinearity; exact solutions; TRAVELING-WAVE SOLUTIONS; OPTICAL SOLITONS; PERIODIC-SOLUTIONS; SOLITARY; BRIGHT; DARK;
D O I
10.1080/00207160.2021.1923014
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this work, the methodologies of the exp(a) and exp(-Phi(xi)) methods are used to investigate the solutions of Korteweg-de Vries (KdV) equation with dual power law nonlinearity. The obtained solutions consist of kink, anti-kink, logarithmic, trigonometric, hyperbolic and rational functions. Moreover, 3D and 2D graphics of some of these exact solutions have been plotted to visualize the underlying dynamics of proposed results.
引用
收藏
页码:629 / 640
页数:12
相关论文
共 43 条
[1]  
Ablowitz M.J., 1981, Solitons and Inverse Scattering Transformations
[2]  
Ablowitz M. J., 1991, SOLITONS NONLINEAR E
[3]   A class of traveling wave solutions for space-time fractional biological population model in mathematical physics [J].
Akram, G. ;
Batool, F. .
INDIAN JOURNAL OF PHYSICS, 2017, 91 (10) :1145-1148
[4]   Solitary wave solutions of the Schafer-Wayne short-pulse equation using two reliable methods [J].
Akram, Ghazala ;
Batool, Fiza .
OPTICAL AND QUANTUM ELECTRONICS, 2017, 49 (01)
[5]   General Expa-function method for nonlinear evolution equations [J].
Ali, Ahmad T. ;
Hassan, Ezzat R. .
APPLIED MATHEMATICS AND COMPUTATION, 2010, 217 (02) :451-459
[6]   Generalized extended tanh-function method and its application [J].
Bai, CL ;
Zhao, H .
CHAOS SOLITONS & FRACTALS, 2006, 27 (04) :1026-1035
[7]  
Bandyopadhyay S., 2014, MATH PHYS, P1
[8]   Solitary wave solutions of (2+1)-dimensional soliton equation arising in mathematical physics [J].
Batool, Fiza ;
Akram, Ghazala .
OPTIK, 2017, 144 :156-162
[9]   Optical soliton perturbation with full nonlinearity by trial equation method [J].
Biswas, Anjan ;
Yildirim, Yakup ;
Yasar, Emrullah ;
Triki, Houria ;
Alshomrani, Ali Saleh ;
Ullah, Malik Zaka ;
Zhou, Qin ;
Moshokoa, Seithuti P. ;
Belic, Milivoj .
OPTIK, 2018, 157 :1366-1375
[10]   Optical soliton perturbation with parabolic and dual-power law nonlinearities by semi-inverse variational principle [J].
Biswas, Anjan ;
Alqahtani, Rubayyi T. ;
Abdelkawy, M. A. .
OPTIK, 2017, 147 :82-87