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Hu, X.B., Zhao, J.X. and Tam, H.W. (2004) Pfaffianization of the Two-Dimensional Toda Lattice. Journal of Mathematical Analysis and Applications, 296, 256-261. http://dx.doi.org/10.1016/j.jmaa.2004.03.065

has been cited by the following article:

• TITLE: The Periodic Solitary Wave Solutions for the (2 + 1)-Dimensional Fifth-Order KdV Equation

  AUTHORS: Xianghua Meng

  KEYWORDS: (2 + 1)-Dimensional Fifth-Order KdV Equation, Periodic Solitary Wave Solutions, Hirota Bilinear Form

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.2 No.7, June 20, 2014

  ABSTRACT: The (2 + 1)-dimensional fifth-order KdV equation is an important higher-dimensional and higher-order extension of the famous KdV equation in fluid dynamics. In this paper, by constructing new test functions, we investigate the periodic solitary wave solutions for the (2 + 1)-dimensional fifth-order KdV equation by virtue of the Hirota bilinear form. Several novel analytic solutions for such a model are obtained and verified with the help of symbolic computation.