Volume 4, Issue 1-2, May 1997, Pages 114 - 116
Conditional Invariance and Exact Solutions of a Nonlinear System
Pavlo Myronyk, Natalia Bubenchikova
Available Online 1 May 1997.
- 10.2991/jnmp.1997.4.1-2.14How to use a DOI?
The Lie and Q-conditional invariance of one nonlinear system of PDEs of the thirdorder is searched. The ansatze have been built which reduce the PDEs system to ODEs. The classes of exact solutions of the given system are obtained. The relation between the Korteweg-de Vries equation and Harry-Dym equation has been established.
- © 2006, the Authors. Published by Atlantis Press.
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Cite this article
TY - JOUR AU - Pavlo Myronyk AU - Natalia Bubenchikova PY - 1997 DA - 1997/05/01 TI - Conditional Invariance and Exact Solutions of a Nonlinear System JO - Journal of Nonlinear Mathematical Physics SP - 114 EP - 116 VL - 4 IS - 1-2 SN - 1776-0852 UR - https://doi.org/10.2991/jnmp.1997.4.1-2.14 DO - 10.2991/jnmp.1997.4.1-2.14 ID - Myronyk1997 ER -