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Symmetries and Conservation Laws for Some Compacton Equation

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  • M. L. Gandarias
  • M. S. Bruzón
  • M. Rosa

Abstract

We consider some equations with compacton solutions and nonlinear dispersion from the point of view of Lie classical reductions. The reduced ordinary differential equations are suitable for qualitative analysis and their dynamical behaviour is described. We derive by using the multipliers method some nontrivial conservation laws for these equations.

Suggested Citation

  • M. L. Gandarias & M. S. Bruzón & M. Rosa, 2015. "Symmetries and Conservation Laws for Some Compacton Equation," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-6, August.
    • Handle: RePEc:hin:jnlmpe:430823
    DOI: 10.1155/2015/430823
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    Cited by:

    1. Gandarias, M.L. & Rosa, M., 2016. "On double reductions from symmetries and conservation laws for a damped Boussinesq equation," Chaos, Solitons & Fractals, Elsevier, vol. 89(C), pages 560-565.

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