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Symmetry Analysis and Conservation Laws for Some Boussinesq Equations with Damping Terms

In: Current Trends in Mathematical Analysis and Its Interdisciplinary Applications

Author

Listed:
  • M. L. Gandarias

    (Universidad de Cádiz, Departamento de Matemáticas)

  • M. Rosa

    (Universidad de Cádiz, Departamento de Matemáticas)

Abstract

In this work, we study some Boussinesq equations with damping term from the point of view of the Lie theory. We derive the classical Lie symmetries admitted by the equation as well as the reduced ordinary differential equations. We also present some exact solutions. Some nontrivial conservation laws for these equations are constructed by using the multiplier method.

Suggested Citation

  • M. L. Gandarias & M. Rosa, 2019. "Symmetry Analysis and Conservation Laws for Some Boussinesq Equations with Damping Terms," Springer Books, in: Hemen Dutta & Ljubiša D. R. Kočinac & Hari M. Srivastava (ed.), Current Trends in Mathematical Analysis and Its Interdisciplinary Applications, chapter 0, pages 229-251, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-15242-0_8
    DOI: 10.1007/978-3-030-15242-0_8
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