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Başlık: Group properties and conservation laws for nonlocal shallow water wave equation
Yazarlar: Rezvan, Farshad
Özer, Teoman
Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Anabilim Dalı.
0000-0003-4732-5753
Yaşar, Emrullah
AAG-9947-2021
23471031300
Anahtar kelimeler: 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
Yayın Tarihi: Eki-2011
Yayıncı: Elsevier Science
Atıf: 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.
Özet: 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
Koleksiyonlarda Görünür:Scopus
Web of Science

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