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2014 Conservation Laws for a Variable Coefficient Variant Boussinesq System
Ben Muatjetjeja, Chaudry Masood Khalique
Abstr. Appl. Anal. 2014(SI08): 1-5 (2014). DOI: 10.1155/2014/169694


We construct the conservation laws for a variable coefficient variant Boussinesq system, which is a third-order system of two partial differential equations. This system does not have a Lagrangian and so we transform it to a system of fourth-order, which admits a Lagrangian. Noether’s approach is then utilized to obtain the conservation laws. Lastly, the conservation laws are presented in terms of the original variables. Infinite numbers of both local and nonlocal conserved quantities are derived for the underlying system.


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Ben Muatjetjeja. Chaudry Masood Khalique. "Conservation Laws for a Variable Coefficient Variant Boussinesq System." Abstr. Appl. Anal. 2014 (SI08) 1 - 5, 2014.


Published: 2014
First available in Project Euclid: 2 October 2014

zbMATH: 07021855
MathSciNet: MR3170391
Digital Object Identifier: 10.1155/2014/169694

Rights: Copyright © 2014 Hindawi

Vol.2014 • No. SI08 • 2014
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