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Open AccessArticle

Optimal System and New Approximate Solutions of a Generalized Ames’s Equation

1
Faculty of Engineering and Architecture, University of Enna “Kore”, 94100 Enna, Italy
2
Department of Mathematics and Computer Science, Physical Sciences and Earth Science, University of Messina, 98166 Messina, Italy
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Author to whom correspondence should be addressed.
Symmetry 2019, 11(10), 1230; https://doi.org/10.3390/sym11101230
Received: 30 July 2019 / Revised: 17 September 2019 / Accepted: 20 September 2019 / Published: 2 October 2019
(This article belongs to the Special Issue Noether's Theorem and Symmetry)
In this paper, by applying Valenti’s theory for the approximate symmetry, we introduce and define the concept of a one-dimensional optimal system of approximate subalgebras for a generalized Ames’s equation; furthermore, the algebraic structure of the approximate Lie algebra is discussed. New approximately invariant solutions to the equation are found. View Full-Text
Keywords: partial differential equations; approximate symmetry and solutions partial differential equations; approximate symmetry and solutions
MDPI and ACS Style

Ruggieri, M.; Speciale, M.P. Optimal System and New Approximate Solutions of a Generalized Ames’s Equation. Symmetry 2019, 11, 1230.

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