A new expansion method of first order nonlinear ordinary differential equation with at most a sixth-degree nonlinear term and its application to mBBM model
Pan Jun-Ting(潘军廷) and Gong Lun-Xun(龚伦训)†
School of Science, Guizhou Noal University, Guiyang 550001, China
Abstract Based on a first order nonlinear ordinary differential equation with at most a sixth-degree nonlinear term which is extended from a type of elliptic equation, and by converting it into a new expansion form, this paper proposes a new algebraic method to construct exact solutions for nonlinear evolution equations. Being concise and straightforward, the method is applied to modified Benjamin--Bona--Mahony (mBBM) model, and some new exact solutions to the system are obtained. The algorithm is of important significance in exploring exact solutions for other nonlinear evolution equations.
Received: 22 January 2007
Revised: 07 March 2007
Accepted manuscript online:
Fund: Project supported by the Science
and Technology Foundation of Guizhou Province, China (Grant No
20072009).
Cite this article:
Pan Jun-Ting(潘军廷) and Gong Lun-Xun(龚伦训) A new expansion method of first order nonlinear ordinary differential equation with at most a sixth-degree nonlinear term and its application to mBBM model 2008 Chin. Phys. B 17 399
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