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Group Classification and Conservation Laws of a Class of Hyperbolic Equations

Author

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  • J. C. Ndogmo
  • Victor Kovtunenko

Abstract

s. 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.

Suggested Citation

  • J. C. Ndogmo & Victor Kovtunenko, 2021. "Group Classification and Conservation Laws of a Class of Hyperbolic Equations," Abstract and Applied Analysis, Hindawi, vol. 2021, pages 1-13, August.
    • Handle: RePEc:hin:jnlaaa:2861194
    DOI: 10.1155/2021/2861194
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    Cited by:

    1. Ndogmo, J.C., 2023. "Group classification and exact solutions of a class of nonlinear waves," Applied Mathematics and Computation, Elsevier, vol. 443(C).

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