FIZIKA A 19 (2010) 4 , 191-196
CLASSIFICATION OF ALL SINGLE TRAVELING-WAVE SOLUTIONS TO GETMANOU EQUATION
Department of Mathematics, Northeast Petroleum University, Daqing 163318, China
College Arts and Sciences, Heilongjiang Bayi Agricultural University, Daqing 163319, China
Received 1 July 2010; Accepted 9 February 2011
Online 15 April 2011
Under the travelling-wave transformation, Getmanou equation
is reduced to a second-order ordinary differential equation.
According to the complete discrimination system for
polynomials, we obtain all single travelling-wave solutions to Getmanou equation.
PACS number: 05.45.Yv
UDC 532.592, 533.951
Keywords: travelling-wave solutions, complete discrimination system for polynomials, Getmanou equation