Functional separable solutions for two classes of nonlinear equations of mathematical physics

Polyanin, A.D. and Zhurov, A.I. ORCID: https://orcid.org/0000-0002-5594-0740 2019. Functional separable solutions for two classes of nonlinear equations of mathematical physics. Доклады Академии Наук / Doklady Mathematics 99 (3) , pp. 321-324. 10.1134/S1064562419030128

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Abstract

This study describes a new modification of the method of functional separation of variables for nonlinear equations of mathematical physics. Solutions are sought in an implicit form that involves several free functions (specific expressions for these functions are determined by analyzing the arising functional differential equations). The effectiveness of the method is illustrated by examples of nonlinear reaction–diffusion equations and Klein–Gordon type equations with variable coefficients that depend on one or more arbitrary functions. A number of new exact functional separable solutions and generalized traveling-wave solutions are obtained.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Dentistry
Publisher:	MAIK Nauka/Interperiodica (МАИК Наука/Интерпериодика)
ISSN:	1064-5624
Date of First Compliant Deposit:	3 October 2019
Date of Acceptance:	10 January 2019
Last Modified:	07 Nov 2023 00:51
URI:	https://orca.cardiff.ac.uk/id/eprint/125861

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