On the exact solutions of nonlinear diffusion-reaction equations with quadratic and cubic nonlinearities

Pramana ◽  
2006 ◽  
Vol 67 (2) ◽  
pp. 249-256 ◽  
Author(s):  
R S Kaushal ◽  
Ranjit Kumar ◽  
Awadhesh Prasad
Keyword(s):  
Exact Solutions ◽  
Nonlinear Diffusion ◽  
Diffusion Reaction ◽  
Reaction Equations ◽  
Quadratic And Cubic Nonlinearities

Exact solutions of nonlinear diffusion-reaction equations

2012 ◽  
Vol 86 (2) ◽  
pp. 129-136 ◽  
Author(s):  
A. Malik ◽  
F. Chand ◽  
H. Kumar ◽  
S. C. Mishra
Keyword(s):  
Exact Solutions ◽  
Nonlinear Diffusion ◽  
Diffusion Reaction ◽  
Reaction Equations

Solitary and Travelling Wave Solutions of Certain Nonlinear Diffusion-Reaction Equations

2020 ◽  
Author(s):  
Miftachul Hadi
Keyword(s):  
Nonlinear Diffusion ◽  
Travelling Wave ◽  
Diffusion Reaction ◽  
Travelling Wave Solutions ◽  
Wave Solutions ◽  
Reaction Equations

We review the work of Ranjit Kumar, R S Kaushal, Awadhesh Prasad. The work is still in progress.

A dynamical study of certain nonlinear diffusion–reaction equations with a nonlinear convective flux term

Pramana ◽  
2018 ◽  
Vol 92 (1) ◽  
Author(s):  
Anand Malik ◽  
Hitender Kumar ◽  
Rishi Pal Chahal ◽  
Fakir Chand
Keyword(s):  
Nonlinear Diffusion ◽  
Diffusion Reaction ◽  
Dynamical Study ◽  
Convective Flux ◽  
Reaction Equations

The nonlinear diffusion reaction dynamical system with quadratic and cubic nonlinearities with analytical investigations

2020 ◽  
Vol 34 (09) ◽  
pp. 2050085 ◽  
Author(s):  
Aly R. Seadawy ◽  
Mujahid Iqbal ◽  
Dianchen Lu
Keyword(s):  
Solitary Wave ◽  
Nonlinear Diffusion ◽  
Research Work ◽  
Periodic Wave ◽  
Diffusion Reaction ◽  
New Technique ◽  
Solitary Wave Solutions ◽  
Bright Solitons ◽  
Wave Solutions ◽  
Quadratic And Cubic Nonlinearities

Our aim in this research work is to formulate the exact traveling and solitary wave solutions of nonlinear diffusion reaction (DR) equation with quadratic and cubic nonlinearities by implementing the new technique which is a modified mathematical method. We have investigated the density independent nonlinear diffusion equation with convective flux term. As a result, we have found a variety of new exact traveling and solitary wave solutions in the form of dark solitons, bright solitons, combined dark-bright solitons, traveling wave, periodic wave solutions and we also represent the physical structure of the obtained solutions by two- and three-dimensional graphics by using the Mathematica software. This work proves the power, reliability and fruitfulness of this new technique.

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