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F. Cariello and M. Tabor, “Similarity Reductions from Extended Painleve’ Expansions for Nonintegrable Evolution Equations,” Physica D: Nonlinear Phenomena, Vol. 53, No. 1, 1991, pp. 59-70. doi:10.1016/0167-2789(91)90164-5

has been cited by the following article:

• TITLE: Exact Traveling Wave Solutions of Nonlinear PDEs in Mathematical Physics

  AUTHORS: Jameel F. Alzaidy

  KEYWORDS: Extended Mapping Method; Auxiliary Equation Method; The Variant Boussinesq Equations; The Coupled KdV Equations; Traveling Wave Solutions

  JOURNAL NAME: Applied Mathematics, Vol.3 No.7, June 19, 2012

  ABSTRACT: In the present article, we construct the exact traveling wave solutions of nonlinear PDEs in mathematical physics via the variant Boussinesq equations and the coupled KdV equations by using the extended mapping method and auxiliary equation method. This method is more powerful and will be used in further works to establish more entirely new solutions for other kinds of nonlinear partial differential equations arising in mathematical physics.