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M. Ablowitz and P. A. Clarkson, “Soliton, Nonlinear Evolution Equations and Inverse Scattering,” Cambridge University Press, New York, 1991.

has been cited by the following article:

• TITLE: New Periodic Solitary Wave Solutions for a Variable-Coefficient Gardner Equation from Fluid Dynamics and Plasma Physics

  AUTHORS: Mohamed Aly Abdou

  KEYWORDS: Extended Homoclinic Test Approach, Bilinear Form, Gardner Equation with a Variable-Coefficient, Periodic Solitary Wave Solutions

  JOURNAL NAME: Applied Mathematics, Vol.1 No.4, October 29, 2010

  ABSTRACT: The Gardner equation with a variable-coefficient from fluid dynamics and plasma physics is investigated. Different kinds of solutions including breather-type soliton and two soliton solutions are obtained using bilinear method and extended homoclinic test approach. The proposed method can also be applied to solve other types of higher dimensional integrable and non-integrable systems.