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http://hdl.handle.net/11452/23791
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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