On new exact solutions of the generalized Fitzhugh–Nagumo equation with variable coefficients

2020 ◽  
Author(s):  
Mir Sajjad Hashemi ◽  
Ali Akgül
Keyword(s):  
Exact Solutions ◽  
Variable Coefficients ◽  
New Exact Solutions ◽  
Nagumo Equation

scholarly journals AKNS Formalism and Exact Solutions of KdV and Modified KdV Equations with Variable-Coefficients

2016 ◽  
Vol 6 ◽  
pp. 32-41 ◽  
Author(s):  
Supratim Das ◽  
Dibyendu Ghosh
Keyword(s):  
Exact Solutions ◽  
Kdv Equation ◽  
Elliptic Functions ◽  
Variable Coefficients ◽  
Jacobian Elliptic Functions ◽  
Generalized Kdv Equation ◽  
New Exact Solutions ◽  
Kdv Equations ◽  
Modified Kdv Equation ◽  
Modified Kdv Equations

We apply the AKNS hierarchy to derive the generalized KdV equation andthe generalized modified KdV equation with variable-coefficients. We system-atically derive new exact solutions for them. The solutions turn out to beexpressible in terms of doubly-periodic Jacobian elliptic functions.

New exact solutions of the reaction–diffusion equation with variable coefficients via the mathematical computation

2018 ◽  
Vol 11 (04) ◽  
pp. 1850051 ◽  
Author(s):  
Jin Hyuk Choi ◽  
Hyunsoo Kim
Keyword(s):  
Diffusion Equation ◽  
Exact Solutions ◽  
Reaction Diffusion ◽  
Variable Coefficients ◽  
Time Dependent ◽  
Reaction Diffusion Equation ◽  
Painlevé Test ◽  
New Exact Solutions ◽  
Mathematical Computation

In this paper, we construct new exact solutions of the reaction–diffusion equation with time dependent variable coefficients by employing the mathematical computation via the Painlevé test. We describe the behaviors and their interactions of the obtained solutions under certain constraints and various variable coefficients.

New exact solutions of the -dimensional KdV equation with variable coefficients

2005 ◽  
Vol 337 (1-2) ◽  
pp. 101-106 ◽  
Author(s):  
Shoufeng Shen ◽  
Jun Zhang ◽  
Cai'er Ye ◽  
Zuliang Pan
Keyword(s):  
Exact Solutions ◽  
Kdv Equation ◽  
Variable Coefficients ◽  
New Exact Solutions
Sign in / Sign up

Export Citation Format

Share Document