S. Hejazi, A. Naderifard, S. Rashidi, “Conservation laws and similarity reduction of the Zoomeron equation”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 2016, Number 3(14),Pages <nobr>7

MATHEMATICS

Conservation laws and similarity reduction of the Zoomeron equation

S. Hejazi, A. Naderifard, S. Rashidi

Department of Mathematical Sciences, Shahrood University of Technology

Abstract: In this study, we consider a 4-th order (1+1)-dimensional PDE called Zoomeron equation. Some conservation laws are derived based on direct method. We also derived some similarity solutions using the symmetries.

Keywords: Zoomeron equation, Lie point symmetries, conservation laws, multiplier, similarity solution.

UDC: 517.956

MSC: Primary 34A34; Secondary 70H33, 70S10, 34A05

Received: 30.05.2016

Language: English

DOI: 10.18454/2079-6641-2016-14-3-7-13