On One Method for Constructing Exact Solutions of Nonlinear Equations of Mathematical Physics
- 作者: Polyanin A.1,2, Zhurov A.1
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隶属关系:
- Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences
- National Research Nuclear University “Moscow Engineering Physics Institute”
- 期: 卷 100, 编号 3 (2019)
- 页面: 582-585
- 栏目: 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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详细
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.
作者简介
A. Polyanin
Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences; National Research Nuclear University “Moscow Engineering Physics Institute”
编辑信件的主要联系方式.
Email: polyanin@ipmnet.ru
俄罗斯联邦, Moscow, 119526; Moscow, 115409
A. Zhurov
Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences
编辑信件的主要联系方式.
Email: zhurov@ipmnet.ru
俄罗斯联邦, Moscow, 119526