Zhiber-Shabat方程新的显式精确解  

New Explicit and Exact Solutions of Zhiber-Shabat Equation

作　　者：潘洪伟 

机构地区：[1]广元广播电视大学数学系,四川广元628017

出　　处：《聊城大学学报（自然科学版）》2010年第3期25-28,共4页Journal of Liaocheng University:Natural Science Edition

摘　　要：应用扩展的sinh-cosh展开法和辅助方程法,在Maple符号计算辅助下,借助吴消元法获得了Zhiber-Shabat方程的分别由双曲函数和三角函数表达的新的显式精确解.展示了新解在一定条件下的非线性局部激发模式.With the aid of Maple symbolic computation and Wu＇s method,the Zhiber-Shabat equation is deduced and a number of exact solutions are obtained,expressed by hyperbolic and triangular functions,by applying the extended sinh-cosh and auxiliary equation methods.

关 键 词：ZHIBER-SHABAT方程 扩展sinh-cosh法 辅助方程 精确解 

分 类 号：O175.2[理学—数学]