Lie symmetry reductions, exact solutions and conservation laws of the third order variant boussinesq system

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Date

2015-09

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Polish Acad Sciences Inst Physics

Abstract

The Lie group method is applied to the third order variant Boussinesq system, which arises in the modelling of the water waves. The symmetry reductions and invariant solutions are obtained with respect to Lie point symmetry generators of the underlying system. In addition, we derive conservation laws of the variant Boussinesq system.

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Keywords

Physics, Wave solutions, Equations, Lie groups, Physical properties, Boussinesq system, Conservation law, Invariant solutions, Lie group method, Lie point symmetries, Lie symmetries, Symmetry reduction, Underlying systems, Water waves

Citation

Yaşar, E. vd. (2015). "Lie symmetry reductions, exact solutions and conservation laws of the third order variant boussinesq system". Acta Physica Polonica A, 128(3), 252-255.