4.3 Article

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

Journal

INTERNATIONAL JOURNAL OF BIOMATHEMATICS
Volume 11, Issue 4, Pages -

Publisher

WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S1793524518500511

Keywords

Painleve test; wave transformation; exact solution; mathematical computation

Funding

  1. National Research Foundation of Korea (NRF) - Ministry of Education [2017R1A2B1005174]
  2. National Research Foundation of Korea [2017R1A2B1005174] Funding Source: Korea Institute of Science & Technology Information (KISTI), National Science & Technology Information Service (NTIS)

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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 Painleve test. We describe the behaviors and their interactions of the obtained solutions under certain constraints and various variable coefficients.

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