期刊
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
卷 42, 期 47, 页码 -出版社
IOP PUBLISHING LTD
DOI: 10.1088/1751-8113/42/47/475201
关键词
-
资金
- Chinese National Science Fund [10925104, 10671156]
- NWU Graduate Innovation and Creativity Funds [07YZZ15]
The 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 W-n1(1) x W-n2(2) 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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