4.7 Article

Symmetry analysis for a class of nonlinear dispersive equations

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ELSEVIER
DOI: 10.1016/j.cnsns.2014.09.005

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Dispersive equations; Equivalence transformations; Lie symmetries; Nonclassical reductions; Potential symmetries

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A class of dispersive equations is studied within the framework of group analysis of differential equations. The enhanced Lie group classification is achieved. The complete list of equivalence transformations is presented. It is shown that certain equations from the class admit nonclassical reductions. Potential and potential nonclassical symmetries are also considered. (C) 2014 Elsevier B.V. All rights reserved.

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