Group Classification and Conservation Laws of a Class of Hyperbolic Equations | Zendy

J. C. Ndogmo | Zendy

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Group Classification and Conservation Laws of a Class of Hyperbolic Equations

Author(s) -

J. C. Ndogmo

Publication year - 2021

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2021/2861194

Subject(s) - mathematics , conservation law , hyperbolic partial differential equation , class (philosophy) , homogeneous space , group (periodic table) , simple (philosophy) , independent equation , simultaneous equations , differential equation , mathematical analysis , ftcs scheme , symmetry (geometry) , euler equations , pure mathematics , differential algebraic equation , ordinary differential equation , geometry , philosophy , epistemology , artificial intelligence , computer science , chemistry , organic chemistry

. A method for the group classification of differential equations is proposed. It is based on the determination of all possible cases of linear dependence of certain indeterminates appearing in the determining equations of symmetries of the equation. The method is simple and systematic and applied to a family of hyperbolic equations. Moreover, as the given family contains several known equations with important physical applications, low-order conservation laws of some relevant equations from the family are computed, and the results obtained are discussed with regard to the symmetry integrability of a particular class from the underlying family of hyperbolic equations.

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