New exact solutions of the reaction–diffusion equation with variable coefficients via the mathematical computation-Reference-Cited by-同舟云学术

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

Published:2018-05 Issue:04 Volume:11 Page:1850051
ISSN:1793-5245
Container-title:International Journal of Biomathematics
language:en
Short-container-title:Int. J. Biomath.

Author:

Choi Jin Hyuk¹,Kim Hyunsoo²^ORCID

Affiliation:

1. Humanitas College, Kyung Hee University, Yongin 17104, Republic of Korea

2. Department of Mathematics, Sungkyunkwan University, Suwon 16419, Republic of Korea

Abstract

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.

Funder

National Research Foundation of Korea

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793524518500511

Reference33 articles.

1. Entire solutions for some reaction–diffusion systems

2. APPROXIMATE TRAVELING WAVE SOLUTION OF AVIAN FLU TELEGRAPH REACTION DIFFUSION EQUATION

3. Analytical approximate solutions of Riesz fractional diffusion equation and Riesz fractional advection-dispersion equation involving nonlocal space fractional derivatives