摘要
把(G′/G)展开法推广应用于研究非线性微分-差分二元Volterra晶格方程的精确解问题,借助数学软件计算得到该方程的双曲函数和三角函数等形式的精确解;当参数取特定的值时,应用该方法又得到一些特殊形式的扭结型孤立波解及奇异行波解。比较发现,该方法比用双曲正切法能得到更多类型的精确解,从而证实了该方法研究非线性微分-差分方程精确解问题的有效性。
The （G′/G）-expansion method is used to solve nonlinear differential-difference equation.By symbolic computation,the hyperbolic function solutions and trigonometric function solutions with parameters of the two-component Volterra lattice equation are obtained.When the parameters are taken as special values,some known solutions including kink-type solitary wave solution and singular travelling wave solution are recovered.The method is more effective than tanh function method and can be used for the exact solutions of nonlinear differential-difference equations.
出处
《江南大学学报（自然科学版）》
CAS
2010年第2期232-235,共4页
Joural of Jiangnan University (Natural Science Edition)
基金
国家自然科学基金项目(10771088)
