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Zbl 1207.35263
Zedan, Hassan A.
Symmetry analysis of an integrable Itô coupled system. (English)
[J] Comput. Math. Appl. 60, No. 12, 3088-3097 (2010). ISSN 0898-1221

Summary: We study the invariance analysis, integrability properties and P-property of the Ito coupled nonlinear partial differential equations. We explore several new solutions for the Ito system through the Lie symmetry analysis. Moreover, this work has been devoted to study the integrability aspects of the Ito system through higher order symmetries. We are also investigating the existence of higher order symmetries for the Ito system. Interestingly our investigations reveal a rich variety of particular solutions, which have not been reported in the literature, for this model.

MSC 2000:: *35Q53 KdV-like equations
35A30 Geometric theory for PDE, transformations
37K05 Hamiltonian structures, etc.
37K10 Completely integrable systems etc.

Keywords: coupled evolution system; truncated Painlevé expansion; symbolic computation; Weiss-Kruskal simplification

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	Scientific prize winners of the ICM 2010
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	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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Zentralblatt MATH Berlin [Germany]