Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1707693 | Applied Mathematics Letters | 2015 | 7 Pages |
Abstract
A Boussinesq-like nonlinear differential equation in (1+11+1)-dimensions is introduced by using a generalized bilinear differential equation with the generalized bilinear derivatives D3,xD3,x and D3,tD3,t. A class of rational solutions, generated from polynomial solutions to the associated generalized bilinear equation, is constructed for the presented Boussinesq-like equation. It is conjectured that this class of rational solutions contain all such rational solutions to the new Boussinesq-like equation. More concretely, the conjecture says that if a polynomial f=f(x,t)f=f(x,t) in xx and tt solves fttf−ft2+3fxx2=0, then the degree of ff with respect to tt must be less than or equal to 1.
Keywords
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Chang-Guang Shi, Bao-Zhu Zhao, Wen-Xiu Ma,