On the conservation laws of Derrida-Lebowitz-Speer-Spohn equation

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Atıf İçin Kopyala

SAN S., YAŞAR E.

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, cilt.22, ss.1297-1304, 2015 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 22
• Basım Tarihi: 2015
• Doi Numarası: 10.1016/j.cnsns.2014.08.031
• Dergi Adı: COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Sayfa Sayıları: ss.1297-1304
• Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

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.