On the similarity solutions and conservation laws of the Cooper-Shepard-Sodano equation

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URI: http://hdl.handle.net/10498/33312

DOI: 10.1002/mma.4829

ISSN: 1099-1476

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Author/s
Bruzón Gallego, María de los SantosAuthority UCA; Recio Rodríguez, ElenaAuthority UCA; Garrido Letrán, Tamara MaríaAuthority UCA; Márquez Lozano, Almudena del PilarAuthority UCA; Rosa Silva, Rafael de laAuthority UCA
Date
2018
Department
Matemáticas
Source
Math Meth Appl Sci. 2018;41:7325–7332.
Abstract
In this paper, for the Cooper-Shepard-Sodano equation, some conservation laws are obtained by applying the multiplier method. Furthermore, we study this equation from the point of view of Lie symmetries. We perform an analysis of the symmetry reductions taking into account the similarity variables and the similarity solutions, which allow us to transform our equation into ordinary differential equations
Subjects
conservation laws; exact solutions; multiplier method; partial differential equations; symmetries
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Attribution-NonCommercial-NoDerivatives 4.0 Internacional
This work is under a Creative Commons License Attribution-NonCommercial-NoDerivatives 4.0 Internacional