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2014•Advances in Mathematical PhysicsOpen access

On the Conservation Laws and Exact Solutions of a Modified Hunter-Saxton Equation

Sait San, Emrullah Yaşar

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Abstract

We study the modified Hunter-Saxton equation which arises in modelling of nematic liquid crystals. We obtain local conservation laws using the nonlocal conservation method and multiplier approach. In addition, using the relationship between conservation laws and Lie-point symmetries, some reductions and exact solutions are obtained.

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What this paper is about

We study the modified Hunter-Saxton equation which arises in modelling of nematic liquid crystals. We obtain local conservation laws using the nonlocal conservation method and multiplier approach. In addition, using the relationship between conservation laws and Lie-point symmetries, some reductions and exact solutions are obtained.

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Available abstract

We study the modified Hunter-Saxton equation which arises in modelling of nematic liquid crystals. We obtain local conservation laws using the nonlocal conservation method and multiplier approach. In addition, using the relationship between conservation laws and Lie-point symmetries, some reductions and exact solutions are obtained.

Key concepts: Conservation law, Homogeneous space, Mathematics, Point (geometry), Law, Applied mathematics, Multiplier (economics), Mathematical analysis

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