FIZIKA A 19 (2010) 4 , 191-196

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CLASSIFICATION OF ALL SINGLE TRAVELING-WAVE SOLUTIONS TO GETMANOU EQUATION

XUE-FEI FAN
Department of Mathematics, Northeast Petroleum University, Daqing 163318, China
and
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

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