Symmetry Reduction, Exact Solutions, and Conservation Laws of the ZK-BBM Equation | Zendy

Wenbin Zhang | Zendy; Jiangbo Zhou | Zendy; Sunil Kumar | Zendy

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Symmetry Reduction, Exact Solutions, and Conservation Laws of the ZK-BBM Equation

Author(s) -

Wenbin Zhang,

Jiangbo Zhou,

Sunil Kumar

Publication year - 2012

Publication title -

isrn mathematical analysis

Language(s) - English

Resource type - Journals

eISSN - 2090-4665

pISSN - 2090-4657

DOI - 10.5402/2012/837241

Subject(s) - conservation law , homogeneous space , symmetry (geometry) , invariant (physics) , spacetime symmetries , mathematics , lie group , reduction (mathematics) , mathematical physics , symmetry group , mathematical analysis , law , physics , pure mathematics , quantum mechanics , geometry , political science , quantum field theory in curved spacetime , quantum gravity , quantum

Employing the classical Lie method, we obtain the symmetries of the ZK-BBM equation. Applying the given Lie symmetry, we obtain the similarity reduction, group invariant solution, and new exact solutions. We also obtain the conservation laws of ZK-BBM equation of the corresponding Lie symmetry.

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