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On the similarity solutions and conservation laws of the Cooper‐Shepard‐Sodano equation
Author(s) -
Bruzón M. S.,
Recio E.,
Garrido T. M.,
Márquez A. P.,
de la Rosa R.
Publication year - 2018
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.4829
Subject(s) - conservation law , mathematics , similarity (geometry) , homogeneous space , partial differential equation , ordinary differential equation , differential equation , multiplier (economics) , mathematical analysis , law , computer science , political science , geometry , artificial intelligence , economics , image (mathematics) , macroeconomics
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.