Conservation Laws for Some Systems of Nonlinear Partial Differential Equations via Multiplier Approach
The conservation laws for the integrable coupled KDV type system, complexly coupled kdv system, coupled system arising from complex-valued KDV in magnetized plasma, Ito integrable system, and Navier stokes equations of gas dynamics are computed by multipliers approach. First of all, we calculate the...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/871253 |
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| _version_ | 1832560755065487360 |
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| author | Rehana Naz |
| author_facet | Rehana Naz |
| author_sort | Rehana Naz |
| collection | DOAJ |
| description | The conservation laws for the integrable coupled KDV type system, complexly coupled kdv system, coupled system arising from complex-valued KDV in magnetized plasma, Ito integrable system, and Navier stokes equations of gas dynamics are computed by multipliers approach. First of all, we calculate the multipliers depending on dependent variables, independent variables, and derivatives of dependent variables up to some fixed order. The conservation laws fluxes are computed corresponding to each conserved vector. For all understudying systems, the local conservation laws are established by utilizing the multiplier approach. |
| format | Article |
| id | doaj-art-b2a2796fb6e44598871fba8ff0620c9b |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-b2a2796fb6e44598871fba8ff0620c9b2025-02-03T01:26:47ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/871253871253Conservation Laws for Some Systems of Nonlinear Partial Differential Equations via Multiplier ApproachRehana Naz0Centre for Mathematics and Statistical Sciences, Lahore School of Economics, Lahore 53200, PakistanThe conservation laws for the integrable coupled KDV type system, complexly coupled kdv system, coupled system arising from complex-valued KDV in magnetized plasma, Ito integrable system, and Navier stokes equations of gas dynamics are computed by multipliers approach. First of all, we calculate the multipliers depending on dependent variables, independent variables, and derivatives of dependent variables up to some fixed order. The conservation laws fluxes are computed corresponding to each conserved vector. For all understudying systems, the local conservation laws are established by utilizing the multiplier approach.http://dx.doi.org/10.1155/2012/871253 |
| spellingShingle | Rehana Naz Conservation Laws for Some Systems of Nonlinear Partial Differential Equations via Multiplier Approach Journal of Applied Mathematics |
| title | Conservation Laws for Some Systems of Nonlinear Partial Differential Equations via Multiplier Approach |
| title_full | Conservation Laws for Some Systems of Nonlinear Partial Differential Equations via Multiplier Approach |
| title_fullStr | Conservation Laws for Some Systems of Nonlinear Partial Differential Equations via Multiplier Approach |
| title_full_unstemmed | Conservation Laws for Some Systems of Nonlinear Partial Differential Equations via Multiplier Approach |
| title_short | Conservation Laws for Some Systems of Nonlinear Partial Differential Equations via Multiplier Approach |
| title_sort | conservation laws for some systems of nonlinear partial differential equations via multiplier approach |
| url | http://dx.doi.org/10.1155/2012/871253 |
| work_keys_str_mv | AT rehananaz conservationlawsforsomesystemsofnonlinearpartialdifferentialequationsviamultiplierapproach |