On the Conservation Laws and Exact Solutions of a Modified Hunter-Saxton Equation
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...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2014/349059 |
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| _version_ | 1832547292269248512 |
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| author | Sait San Emrullah Yaşar |
| author_facet | Sait San Emrullah Yaşar |
| author_sort | Sait San |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-7268bf043265451894b3b305d013fea3 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-7268bf043265451894b3b305d013fea32025-02-03T06:45:26ZengWileyAdvances in Mathematical Physics1687-91201687-91392014-01-01201410.1155/2014/349059349059On the Conservation Laws and Exact Solutions of a Modified Hunter-Saxton EquationSait San0Emrullah Yaşar1Department of Mathematics-Computer, Art-Science Faculty, Eskişehir Osmangazi University, 26480 Eskişehir, TurkeyDepartment of Mathematics, Faculty of Arts and Sciences, Uludag University, 16059 Bursa, TurkeyWe 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.http://dx.doi.org/10.1155/2014/349059 |
| spellingShingle | Sait San Emrullah Yaşar On the Conservation Laws and Exact Solutions of a Modified Hunter-Saxton Equation Advances in Mathematical Physics |
| title | On the Conservation Laws and Exact Solutions of a Modified Hunter-Saxton Equation |
| title_full | On the Conservation Laws and Exact Solutions of a Modified Hunter-Saxton Equation |
| title_fullStr | On the Conservation Laws and Exact Solutions of a Modified Hunter-Saxton Equation |
| title_full_unstemmed | On the Conservation Laws and Exact Solutions of a Modified Hunter-Saxton Equation |
| title_short | On the Conservation Laws and Exact Solutions of a Modified Hunter-Saxton Equation |
| title_sort | on the conservation laws and exact solutions of a modified hunter saxton equation |
| url | http://dx.doi.org/10.1155/2014/349059 |
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