Open AccessOn the Conservation Laws and Exact Solutions of a Modified Hunter-Saxton Equation
Author(s) -
Sait San,
Emrullah Yaşar
Publication year - 2014
Publication title -
advances in mathematical physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.283
H-Index - 23
eISSN - 1687-9139
pISSN - 1687-9120
DOI - 10.1155/2014/349059
Subject(s) - conservation law , homogeneous space , mathematics , point (geometry) , law , multiplier (economics) , mathematical analysis , geometry , political science , economics , macroeconomics
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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