Conservation Laws for Some Systems of Nonlinear Partial Differential Equations via Multiplier Approach

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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Main Author: Rehana Naz
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2012/871253
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spelling doaj-b2a2796fb6e44598871fba8ff0620c9b2020-11-24T22:32:25ZengHindawi LimitedJournal 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
collection DOAJ
language English
format Article
sources DOAJ
author Rehana Naz
spellingShingle Rehana Naz
Conservation Laws for Some Systems of Nonlinear Partial Differential Equations via Multiplier Approach
Journal of Applied Mathematics
author_facet Rehana Naz
author_sort Rehana Naz
title 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_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_sort conservation laws for some systems of nonlinear partial differential equations via multiplier approach
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2012-01-01
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.
url http://dx.doi.org/10.1155/2012/871253
work_keys_str_mv AT rehananaz conservationlawsforsomesystemsofnonlinearpartialdifferentialequationsviamultiplierapproach
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