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• W2065962860 abstract "In this paper, new maximal dimension of invariant subspaces to coupled systems with two-component equations is estimated under certain conditions. It is shown that if the really coupled operator F=(F1,F2) with orders {k1,k2}(k1⩾k2) preserves the invariant subspace Wn11×Wn22 (0<n1<n2), then there holds n2-n1⩽k1, n2⩽2k1+k2+1, where F2∈F is a nonlinear differential operator and Wnqq is the space generated by solutions of a linear ordinary differential equation of order nq,(q=1,2). Several concrete examples are presented to illustrate the result." @default.
• W2065962860 created "2016-06-24" @default.
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• W2065962860 date "2013-11-01" @default.
• W2065962860 modified "2023-09-23" @default.
• W2065962860 title "New maximal dimension of invariant subspaces to coupled systems with two-component equations" @default.
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• W2065962860 doi "https://doi.org/10.1016/j.cnsns.2013.03.019" @default.
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