Lie groups analysis and contact transformations for Itô system (Q1938171)

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scientific article; zbMATH DE number 6134064
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Lie groups analysis and contact transformations for Itô system
scientific article; zbMATH DE number 6134064

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    Lie groups analysis and contact transformations for Itô system (English)
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    4 February 2013
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    Summary: Generalized Itô systems of four coupled nonlinear evaluation equations are proposed. New classes of exact invariant solutions by using Lie group analysis are obtained. Moreover, we investigate the existence of a one-parameter group of contact transformations for a generalized Ito system. Consequently, we study the relationship between one-parameter group of a contact transformation and a one-parameter Lie point transformation for a generalized Itô system.
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    exact invariant solutions
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    Lie point transformation
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