Yayın: Conservation laws for one-layer shallow water wave systems
Tarih
Kurum Yazarları
Yaşar, Emrullah
Yazarlar
Özer, Teoman
Danışman
Dil
Türü
Yayıncı:
Pergamon-Elsevier Science
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Özet
The problem of correspondence between symmetries and conservation laws for one-layer shallow water wave systems in the plane flow, axisymmetric flow and dispersive waves is investigated from the composite variational principle of view in the development of the study [N.H. lbragimov, A new conservation theorem, journal of Mathematical Analysis and Applications, 333(1) (2007) 311-328]. This method is devoted to construction of conservation laws of non-Lagrangian systems. Composite principle means that in addition to original variables of a given system, one should introduce a set of adjoint variables in order to obtain a system of Euler-Lagrange equations for some variational functional. After studying Lie point and Lie-Backlund symmetries, we obtain new local and nonlocal conservation laws. Nonlocal conservation laws comprise nonlocal variables defined by the adjoint equations to shallow water wave systems. In particular, we obtain infinite local conservation laws and potential symmetries for the plane flow case.
Açıklama
Kaynak:
Anahtar Kelimeler:
Konusu
Conservation laws, Symmetry groups, Shallow water wave systems, Partial-differential equations, Invariant solutions, Symmetries, Mathematics, Barium, Differential equations, Euler equations, Fluorine containing polymers, Hydrodynamics, Lagrange multipliers, Quantum theory, Variational techniques, Water analysis, Water waves, Waves, Adjoint equations, Adjoint variables, Axisymmetric flow, Conservation law, Conservation theorem, Dispersive waves, Euler-lagrange equations, Lagrangian system, Local conservation, Mathematical analysis, Nonlocal, Nonlocal variables, Plane flow, Potential symmetry, Shallow water waves, Symmetry groups, Variational functional, Variational principles, Wave equations
Alıntı
Yaşar, E. ve Özer, T. (2010). "Conservation laws for one-layer shallow water wave systems". Nonlinear Analysis-Real World Applications, 11(2), 838-848.