Reduction and exact solutions of a class of nonlinear reaction-diffusion systems with power coefficients

Authors

  • L. Myroniuk
  • R. Cherniha

Abstract

Non-Lie reduction and exact solutions of a class of nonlinear reaction-diffusion systems with power coefficients of diffusivity and interaction are obtained. In the particular case, the blow up solutions for some systems are constructed.

Симетрія і інтегровність рівнянь математичної фізики

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Published

2006-11-14

Issue

Vol. 3 No. 2 (2006): Symmetry and Integrability of Equations of Mathematical Physics (Dedicated to the 70-th Anniversary of Professor W.I. Fushchych)

Section

Research papers

License

Copyright (c) 2020 Л. Миронюк, Р. Черніга

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Reduction and exact solutions of a class of nonlinear reaction-diffusion systems with power coefficients. (2006). Transactions of Institute of Mathematics, the NAS of Ukraine, 3(2), 217-224. https://trim.imath.kiev.ua/index.php/trim/article/view/461