Barannyk, A.F.; Barannyk, T.A.; Yuryk, I.I.
(Доповіді НАН України, 2019)
A method for construction of exact solutions to the nonlinear heat equation ut = (F (u)ux)x + G (u)ux + H (u),
which is based on the ansatz p(x) = ω₁(t) φ(u) + ω₂(t), is proposed. The function p(x) is a solution of the ...