scholarly journals A solitary wave solution to the generalized Burgers-Fisher's equation using an improved differential transform method: A hybrid scheme approach

Heliyon ◽  
2021 ◽  
Vol 7 (5) ◽  
pp. e07001
Author(s):  
Timilehin Kingsley Akinfe ◽  
Adedapo Chris Loyinmi
Keyword(s):  
Solitary Wave ◽  
Wave Solution ◽  
Solitary Wave Solution ◽  
Differential Transform Method ◽  
Hybrid Scheme ◽  
Transform Method ◽  
Fisher’S Equation ◽  
Differential Transform ◽  
Fisher's Equation

Generalized Differential Transform Method for Solving Discrete Complex Cubic Ginzburg–Landau Equation

2015 ◽  
Vol 12 (03) ◽  
pp. 1550017 ◽  
Author(s):  
H. Aminikhah ◽  
P. Dehghan
Keyword(s):  
Solitary Wave Solution ◽  
Landau Equation ◽  
Soliton Solutions ◽  
Dark Soliton ◽  
Differential Transform Method ◽  
Transform Method ◽  
Ginzburg Landau ◽  
Differential Transform ◽  
Generalized Differential ◽  
Discrete Complex

In this paper, generalized differential transform method (GDTM) is applied to solve discrete complex cubic Ginzburg–Landau (DCCGL) equation which is a famous nonlinear difference-differential equation (NDDE). GDTM approximate solutions for various discrete soliton solutions of DCCGL such as discrete bright soliton, discrete dark soliton, and discrete alternating soliton are obtained. Also this method is successfully employed to obtain approximate solution for dark solitary wave solution of integrable discrete nonlinear Schrödinger (IDNS) equation. Numerical results compared with their corresponding numerical and analytical solutions to show the efficiency and high accuracy of the considered method.

Differential transform method for solving solitary wave with discontinuity

2010 ◽  
Vol 374 (34) ◽  
pp. 3451-3454 ◽  
Author(s):  
Li Zou ◽  
Zhi Zong ◽  
Zhen Wang ◽  
Shoufu Tian
Keyword(s):  
Solitary Wave ◽  
Differential Transform Method ◽  
Transform Method ◽  
Differential Transform

scholarly journals A multi-step differential transform method and application to non-chaotic or chaotic systems

2010 ◽  
Vol 59 (4) ◽  
pp. 1462-1472 ◽  
Author(s):  
Zaid M. Odibat ◽  
Cyrille Bertelle ◽  
M.A. Aziz-Alaoui ◽  
Gérard H.E. Duchamp
Keyword(s):  
Chaotic Systems ◽  
Differential Transform Method ◽  
Transform Method ◽  
Differential Transform
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