Self-Adjointness, Symmetries, and Conservation Laws for a Class of Wave Equations Incorporating Dissipation
In this work, we study the nonlinear self-adjointness and conservation laws for a class of wave equations with a dissipative source. We show that the equations are nonlinear self-adjoint. As a result, from the general theorem on conservation laws proved by Ibragimov and the symmetry generators, we f...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/407908 |
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| _version_ | 1832562607738847232 |
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| author | Yang Wang Long Wei |
| author_facet | Yang Wang Long Wei |
| author_sort | Yang Wang |
| collection | DOAJ |
| description | In this work, we study the nonlinear self-adjointness and conservation laws for a class of wave
equations with a dissipative source. We show that the equations are nonlinear self-adjoint. As a result, from the general theorem on conservation laws proved by Ibragimov and the symmetry generators, we find some conservation laws for this kind of equations. |
| format | Article |
| id | doaj-art-6614a1e572f64c6f8ab42dcfdc35c57c |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-6614a1e572f64c6f8ab42dcfdc35c57c2025-02-03T01:22:11ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/407908407908Self-Adjointness, Symmetries, and Conservation Laws for a Class of Wave Equations Incorporating DissipationYang Wang0Long Wei1Institute of Applied Mathematics and Engineering Computations, Hangzhou Dianzi University, Zhejiang 310018, ChinaInstitute of Applied Mathematics and Engineering Computations, Hangzhou Dianzi University, Zhejiang 310018, ChinaIn this work, we study the nonlinear self-adjointness and conservation laws for a class of wave equations with a dissipative source. We show that the equations are nonlinear self-adjoint. As a result, from the general theorem on conservation laws proved by Ibragimov and the symmetry generators, we find some conservation laws for this kind of equations.http://dx.doi.org/10.1155/2013/407908 |
| spellingShingle | Yang Wang Long Wei Self-Adjointness, Symmetries, and Conservation Laws for a Class of Wave Equations Incorporating Dissipation Abstract and Applied Analysis |
| title | Self-Adjointness, Symmetries, and Conservation Laws for a Class of Wave Equations Incorporating Dissipation |
| title_full | Self-Adjointness, Symmetries, and Conservation Laws for a Class of Wave Equations Incorporating Dissipation |
| title_fullStr | Self-Adjointness, Symmetries, and Conservation Laws for a Class of Wave Equations Incorporating Dissipation |
| title_full_unstemmed | Self-Adjointness, Symmetries, and Conservation Laws for a Class of Wave Equations Incorporating Dissipation |
| title_short | Self-Adjointness, Symmetries, and Conservation Laws for a Class of Wave Equations Incorporating Dissipation |
| title_sort | self adjointness symmetries and conservation laws for a class of wave equations incorporating dissipation |
| url | http://dx.doi.org/10.1155/2013/407908 |
| work_keys_str_mv | AT yangwang selfadjointnesssymmetriesandconservationlawsforaclassofwaveequationsincorporatingdissipation AT longwei selfadjointnesssymmetriesandconservationlawsforaclassofwaveequationsincorporatingdissipation |