(2+1)维广义浅水波方程的周期波解  

Periodic wave solutions for(2+1)-dimensional generalization of shallow water wave equation

作　　者：傅海明[1] 戴正德[2] 

机构地区：[1]广州华夏职业学院基础部,广州510935 [2]云南大学数学与统计学院,昆明650091

出　　处：《齐齐哈尔大学学报（自然科学版）》2013年第6期75-77,共3页Journal of Qiqihar University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10661002)

摘　　要：扩展了Hirota法以构造(2+1)维广义浅水波方程的新的孤波解,即将Hirota法中的测试函数用新的测试函数来替代,得到了(2+1)维广义浅水波方程的周期孤立波解。显然扩展的Hirota方法也可以解其它类型的非线性演化方程。Hirota method proposed recently is extended to construct mo~ ,=~ equations. To be more precise, new text function is used instead of text function in Hirota method. By using the extended Hirota method, （2＋l）-dimensional generalization of shallow water wave equation is solved periodic soliton wave solutions. Obviously, the extended Hirota method can be applied to solve other type of nonlinear evolution equations as well.

关 键 词：(2+1)维广义浅水波方程 HIROTA方法 周期波解 

分 类 号：O175.29[理学—数学]