Separation of variables in PDEs using nonlinear transformations: Applications to reaction–diffusion type equations

Polyanin, A. D. and Zhurov, Alexei ORCID: https://orcid.org/0000-0002-5594-0740 2020. Separation of variables in PDEs using nonlinear transformations: Applications to reaction–diffusion type equations. Applied Mathematics Letters 100 , 106055. 10.1016/j.aml.2019.106055

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Abstract

The paper describes a new approach to constructing exact solutions of nonlinear partial differential equations that employs separation of variables using special (nonlinear integral) transformations and the splitting principle. To illustrate its effectiveness, the method is applied to nonlinear reaction–diffusion type equations that involve variable coefficients and arbitrary functions. New exact functional separable solutions as well as generalized traveling wave solutions are obtained.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Dentistry
Publisher:	Elsevier
ISSN:	0893-9659
Date of First Compliant Deposit:	7 October 2019
Date of Acceptance:	13 September 2019
Last Modified:	06 Dec 2024 02:15
URI:	https://orca.cardiff.ac.uk/id/eprint/125859

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