J4 ›› 2011, Vol. 49 ›› Issue (01): 16-20.
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ZUO Suli, LI Jina
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Abstract:
Utilizing conditional Lie-Bcklund symmetry associated with invariable subspace theory, we studied three types of generalized functional separation variable solutions for (2+1)dimensional quasilinear parabolic equation, that is, generalized functional polynomial type solution, generalized functional trigonometric function type solution and generalized functional exponent type solution. As a result, a complete classification of the quasilinear equation was obtained. At the same time, we obtained the dynamic system satisfied by the unknown function among the exact solution.
Key words: (2+1)dimensional quasilinear parabolic equation, invariant subspace, functional separation variable, exact solution
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ZUO Su-Li, LI Ji-Na. (2+1)Dimensional Quasilinear Parabolic Equationand Invariable Subspace[J].J4, 2011, 49(01): 16-20.
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http://xuebao.jlu.edu.cn/lxb/EN/Y2011/V49/I01/16
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