Generalized separation of variables and exact solutions of nonlinear equations

  • T. A. Barannyk
  • A. F. Barannyk
  • I. I. Yuryk Нац. ун-т харч, технологій, Київ

Abstract

We consider the generalized procedure of separation of variables of the nonlinear hyperbolic-type equations and the Korteweg - de Vries-type equations. We construct a wide class of exact solutions of these equations which cannot be obtained with the use of the S. Lie method and the method of conditional symmetries.
Published
25.12.2010
How to Cite
BarannykT. A., BarannykA. F., and YurykI. I. “Generalized Separation of Variables and exact solutions of Nonlinear Equations”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 62, no. 12, Dec. 2010, pp. 1598 -09, https://umj.imath.kiev.ua/index.php/umj/article/view/2985.
Section
Research articles