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.