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Shen, S.F. and Qu, C.Z. (2012) Maximal Dimension of Invariant Subspaces to Systems of Nonlinear Evolution Equations. Chinese Annals of Mathematics, Series B, 33, 161-178.
https://doi.org/10.1007/s11401-012-0705-4

has been cited by the following article:

• TITLE: Invariant Subspaces and Exact Solutions to the Generalized Strongly Dispersive DGH Equation

  AUTHORS: Xuexia Li, Hanze Liu, Lina Chang

  KEYWORDS: Generalized Strongly Dispersive DGH Equation, Exact Solution, Invariant Subspace

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.8 No.8, August 26, 2020

  ABSTRACT: In this paper, the invariant subspaces of the generalized strongly dispersive DGH equation are given, and the exact solutions of the strongly dispersive DGH equation are obtained. Firstly, transform nonlinear partial differential Equation (PDE) into ordinary differential Equation (ODE) systems by using the invariant subspace method. Secondly, combining with the dynamical system method, we use the invariant subspaces which have been obtained to construct the exact solutions of the equation. In the end, the figures of the exact solutions are given.