Publication: On the conservation laws of Derrida-Lebowitz-Speer-Spohn equation
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Date
2015-05-01
Authors
Authors
Şan, Sait
Yaşar, Emrullah
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier
Abstract
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.
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Keywords
Partial-differential-equations, Symmetries, Conservation laws, Symmetry generators, Science & technology, Physical sciences, Technology, Mathematics, applied, Mathematics, interdisciplinary applications, Mechanics, Physics, fluids & plasmas, Physics, mathematical, Mathematics, Mechanics, Physics