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New exact solutions of nonlinear differential-difference equations with symbolic computation

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In this paper, the Toda equation and the discrete nonlinear Schr(o)dinger equation with a saturable nonlinearity via the discrete (G'/G) -expansion method are researched. As a result, with the aid of the symbolic computation, new hyperbolic function solution and trigonometric function solution with parameters of the Toda equation are obtained. At the same time, new envelop hyperbolic function solution and envelop trigonometric function solution with parameters of the discrete nonlinear Schrodinger equation with a saturable nonlinearity are obtained. This method can be applied to other nonlinear differential-difference equations in mathematical physics.

discrete (G'/G) -expansion methodToda equationdiscrete nonlinear Schrodinger equationsaturable nonlinearityhyperbolic function solutiontrigonometric function solution

XIONG Shou-quan、XIA Tie-cheng

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Department of Mathematics, College of Sciences, Shanghai University, Shanghai 200444, P. R. China

Key Laboratory of Mathematic Mechanization, Chinese Academy of Sciences, Beijing 100080, P. R. China

国家自然科学基金国家自然科学基金Natural Science Foundation of Shanghai MunicipalityScience Foundation of Key Laboratory of Mathematics MechanizationShanghai Leading Academic Discipline ProjectShanghai Leading Academic Discipline Project

610721471107115909ZR1410800KLMM0806J50101S30104

2010

10.1007/s11741-010-0670-1

上海大学学报(英文版)
上海大学

上海大学学报(英文版)

影响因子：0.196
ISSN：1007-6417
年,卷(期)：2010.14(6)
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