Conditional Lie‐Bäcklund Symmetry of Evolution System and Application for Reaction‐Diffusion System. Issue 1 (19th May 2014)

• Record Type: Journal Article
• Authors: Ji, Lina; Qu, Changzheng; Shen, Shoufeng
• Is Part Of: Studies in applied mathematics. Volume 133:Issue 1(2014)
• Page Start: 118
• Page End: 149
• Publication Date: 2014-05-19
• Subjects: Mathematics -- Periodicals; Mathématiques -- Périodiques; Mathématique; Mathématique appliquée; Ressource Internet (Descripteur de forme); Périodique électronique (Descripteur de forme); 519
• DOI: 10.1111/sapm.12042
• Languages: English
• ISSNs: 0022-2526

Abstract

<abstract abstract-type="main"> <title> <x xml:space="preserve">Abstract</x> </title> <p>Conditional Lie‐Bäcklund symmetry (CLBS) method is developed to study system of evolution equations. It is shown that reducibility of a system of evolution equations to a system of ordinary differential equations can be fully characterized by the CLBS of the considered system. As an application of the approach, a class of two‐component nonlinear diffusion equations is studied. The governing system and the admitted CLBS can be identified. As a consequence, exact solutions defined on the polynomial, exponential, trigonometric, and mixed invariant subspaces are constructed due to the corresponding symmetry reductions.</p> </abstract>