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BY-NC-ND 3.0 license Open Access Published by De Gruyter Open Access September 5, 2010

Generalized and potential symmetries of the Rudenko-Robsman equation

Afrodita Boldea
From the journal Open Physics

Abstract

The paper presents a concrete study of the existence of generalized and potential symmetries for the 1+1 dimensional version of the Rudenko-Robsman equation, an interesting fourth-order partial differential equation that describes the evolution of nonlinear waves in a dispersive medium. As the main results, the existence of a two-parameter algebra of generalized symmetries and of an infinite-dimensional algebra when potential symmetries are taken into account is proven.

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Published Online: 2010-9-5
Published in Print: 2010-12-1

© 2010 Versita Warsaw

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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