Nonlocal ansatze and solutions of a nonlinear system of heat-conduction equations

• Date: 1993
• Main Authors: Amerov, T. K., Serov, N. I., Fushchich, V. I., Амеров, Т. К., Серов, Н. И., Фущич, В. И.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 1993
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5812
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

By a nonlocal substitution, a nonlinear system of heat-conduction equations is reduced to a scalar nonlinear heat-conduction equation. The Lie and conditional invariance of the scalar equation is used to find nonlocal ansatze which reduce the original system to systems of ordinary differential equat...