Changzheng Qu and Chunrong Zhu 2009 J. Phys. A: Math. Theor. 42 475201 doi:10.1088/1751-8113/42/47/475201
Classification of coupled systems with two-component nonlinear diffusion equations by the invariant subspace method
Changzheng Qu1,3 and Chunrong Zhu2
Show affiliationsThe invariant subspace method is developed to perform classification of systems with two-component nonlinear diffusion equations, which was carried out with respect to the invariant subspaces 
defined by linear ordinary differential equations. As a result, the corresponding exact solutions generated by invariant subspaces to the resulting systems are obtained. In most cases, two components of these exact solutions belong to different 'scalar' subspaces. Behaviour to several exact solutions of the systems is described.
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Issue 47 (27 November 2009)
Received 13 May 2009, in final form 6 October 2009
Published 29 October 2009
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Classification of coupled systems with two-component nonlinear diffusion equations by the invariant subspace method
Changzheng Qu and Chunrong Zhu 2009 J. Phys. A: Math. Theor. 42 475201
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