Kadomtesv-Petviashvili方程的周期孤立波解  

Periodic Wave Solutions to Kadomtesv-Petviashvili 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,广东广州510935 [2]云南大学数学与统计学院,云南昆明650091

出　　处：《平顶山学院学报》2015年第2期1-4,共4页Journal of Pingdingshan University

基　　金：国家自然科学基金(10661002)

摘　　要：扩展了Hirota法,构造出Kadomtesv-Petviashvili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Kadomtesv-Petviashvili方程的周期孤立波解.显然扩展的Hirota方法也可以求解其他类型的非线性发展方程.Hirota method proposed recently is extended to construct more exact solutions to nonlinear evolution equations. To be more precise,new text function is used instead of text function in Hirota method to obtain.K-P equation periodic soliton wave solutions. Obviously,the extended Hirota method can be applied to solve other types of nonlinear evolution equations as well.

关 键 词：Kadomtesv-Petviashvili方程 Hirota方法 周期波解 

分 类 号：O175.29[理学—数学]