Yayın: Group properties and conservation laws for nonlocal shallow water wave equation
Tarih
Kurum Yazarları
Yaşar, Emrullah
Yazarlar
Rezvan, Farshad
Özer, Teoman
Danışman
Dil
Türü
Yayıncı:
Elsevier Science
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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.
Açıklama
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Konusu
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
Alıntı
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.