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物理学报  2010 

New infinite sequence exact solutions to the general lattice
一般格子方程新的无穷序列精确解

Keywords: nonlinear difference-differential equation,function transformation,auxiliary equation of hyperbolic function type,infinite sequence exact solution
非线性差分微分方程
,函数变换,双曲函数型辅助方程,无穷序列精确解

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Abstract:

To seek infinite sequence exact solutions to nonlinear difference-differential equations, a kind of auxiliary equation of hyperbolic function type is intruduced, and the B cklund transformation of the solutions to the equation and the formula of nonlinear supperposition of solutions are presented. Based on these and combing auxiliary equation with function transformation, the general lattice equation is chosen as example for which the infinite sequence exact solutionsto the equation are obtained.

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