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

SAN S., YAŞAR E.

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

  • 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
  • Anahtar Kelimeler: Conservation laws, Symmetry generators, PARTIAL-DIFFERENTIAL-EQUATIONS, SYMMETRIES
  • Bursa Uludağ 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.