1. Açık Erişim@BUU
  2. İndeksli Yayınlar
  3. Web of Science
Please use this identifier to cite or link to this item: http://hdl.handle.net/11452/23791
Title: Group properties and conservation laws for nonlocal shallow water wave equation
Authors: Rezvan, Farshad
Özer, Teoman
Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Anabilim Dalı.
0000-0003-4732-5753
Yaşar, Emrullah
AAG-9947-2021
23471031300
Keywords: Mathematics
Nonlocal shallow water wave equation
Lie symmetries
Conservation laws
Symmetry reductions
Optimal system
Self-similar solutions
Systems
Hydrodynamics
Mechanical engineering
Optimal systems
Optimization
Physical properties
Water waves
Waves
Conservation law
Lie symmetries
Nonlocal shallow water wave equation
Self-similar solution
Symmetry reductions
Wave equations
Issue Date: Oct-2011
Publisher: Elsevier Science
Citation: Rezvan, F. vd. (2011). "Group properties and conservation laws for nonlocal shallow water wave equation". Applied Mathematics and Computation, 218(3), Special Issue, 974-979.
Abstract: Symmetry groups, symmetry reductions, optimal system, conservation laws and invariant solutions of the shallow water wave equation with nonlocal term are studied. First, Lie symmetries based on the invariance criterion for nonlocal equations and the solution approach for nonlocal determining equations are found and then the reduced equations and optimal system are obtained. Finally, new conservation laws are generated and some similarity solutions for symmetry reduction forms are discussed.
URI: https://doi.org/10.1016/j.amc.2011.03.020
https://www.sciencedirect.com/science/article/pii/S0096300311003742
http://hdl.handle.net/11452/23791
ISSN: 0096-3003
Appears in Collections:Scopus
Web of Science

Files in This Item:
There are no files associated with this item.
Show full item record


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.