Open AccessOn one method for constructing exact solutions of nonlinear equations of mathematical physics
Author(s) -
Andrei D. Polyanin,
Alexei I. Zhurov
Publication year - 2019
Publication title -
doklady akademii nauk. rossijskaâ akademiâ nauk
Language(s) - English
Resource type - Journals
ISSN - 0869-5652
DOI - 10.31857/s0869-56524893235-239
Subject(s) - nonlinear system , type (biology) , separable space , traveling wave , exact solutions in general relativity , mathematics , mathematical analysis , physics , quantum mechanics , ecology , biology
A new method for constructing exact solutions of nonlinear equations of mathematical physics, which is based on nonlinear integral type transformations in combination with the splitting principle, is proposed. The effectiveness of the method is illustrated on nonlinear equations of the reaction-diffusion type, which depend on two or three arbitrary functions. New exact functional separable solutions and generalized traveling wave solutions are described.