Email this article On One Method for Constructing Exact Solutions of Nonlinear Equations of Mathematical Physics
- Authors: Polyanin A.D.1,2, Zhurov A.I.1
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Affiliations:
- Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences
- National Research Nuclear University “Moscow Engineering Physics Institute”
- Issue: Vol 100, No 3 (2019)
- Pages: 582-585
- Section: Mathematical Physics
- URL: https://journals.rcsi.science/1064-5624/article/view/225751
- DOI: https://doi.org/10.1134/S1064562419060115
- ID: 225751
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Abstract
A new method for constructing exact solutions of nonlinear equations of mathematical physics is proposed. The method is based on nonlinear integral transformations in combination with the splitting principle. The effectiveness of the method is illustrated by nonlinear reaction–diffusion equations that involve two or three arbitrary functions. New exact functional separable solutions and generalized traveling-wave solutions are presented.
About the authors
A. D. Polyanin
Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences; National Research Nuclear University “Moscow Engineering Physics Institute”
Author for correspondence.
Email: polyanin@ipmnet.ru
Russian Federation, Moscow, 119526; Moscow, 115409
A. I. Zhurov
Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences
Author for correspondence.
Email: zhurov@ipmnet.ru
Russian Federation, Moscow, 119526
