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Chapter

Exact solutions of reaction-diffusion-convection equations and their applications

Chapter

Exact solutions of reaction-diffusion-convection equations and their applications

DOI link for Exact solutions of reaction-diffusion-convection equations and their applications

Exact solutions of reaction-diffusion-convection equations and their applications book

Exact solutions of reaction-diffusion-convection equations and their applications

DOI link for Exact solutions of reaction-diffusion-convection equations and their applications

Exact solutions of reaction-diffusion-convection equations and their applications book

ByRoman Cherniha, Mykola Serov, Oleksii Pliukhin
BookNonlinear Reaction-Diffusion-Convection Equations

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Edition 1st Edition
First Published 2017
Imprint Chapman and Hall/CRC
Pages 56
eBook ISBN 9781315154848

ABSTRACT

This chapter discusses the construction of exact solutions of several nonlinear reaction-diffusion-convection (RDC) equations belonging to a class. The theoretical obstacle for developing the general theory follows from the well-known fact that the principle of linear superposition of solutions cannot be applied to generate new exact solutions for nonlinear partial differential equations (PDE). Construction of particular exact solutions for nonlinear RDC equations of the form is a nontrivial and important problem. Finding exact solutions that have a physical, chemical or biological interpretation is of fundamental importance. Classification of exact solutions of nonlinear PDEs from the symmetry point of view is based on the type of symmetry allowing to construct the solution in question. The chapter examines exact solutions of several RDC equations arising in mathematical biology. It explains several nonlinear RDC equations in order to construct exact solutions and to provide their application and/or interpretation.

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