COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, vol.22, pp.1297-1304, 2015 (Peer-Reviewed Journal)
Article / Article
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
Science Citation Index Expanded, Scopus
Conservation laws, Symmetry generators, PARTIAL-DIFFERENTIAL-EQUATIONS, SYMMETRIES
In this study, the nonlocal conservation theorem and multiplier approach are performed on the 1 + 1 dimensional Derrida-Lebowitz-Speer-Spohn (DLSS) equation which arises in quantum semi conductor theory. We obtain local conservation laws by using the both methods. Furthermore by utilizing the relationship between conservation laws and Lie point symmetries, the DLSS equation is reduced to third order ordinary differential equation. (C) 2014 Elsevier B.V. All rights reserved.