(2+1)维NNV方程的周期孤立波解和双周期孤立波解  

Periodic-soliton wave solutions and double periodic-soliton wave solutions for (2+1)-dimensional NNV 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：《周口师范学院学报》2016年第5期39-43,共5页Journal of Zhoukou Normal University

基　　金：国家自然科学基金资助项目(No.11061028)

摘　　要：扩展了Hirota法,即将Hirota法中的测试函数用新的测试函数来替代,并利用扩展了的方法来构造(2+1)维Nizhnik-Novikov-Veselov方程的周期孤子解和双周期孤子解.显然扩展的Hirota方法也可以解其他一些非线性发展方程.Hirota method proposed recently is extended to construct more exact solutions of nonlinear evolution equa- tions. To be more precise, new text function is used instead of text function in Hirota method. By using the extended Hirota method, （2＋1 ）-dimensional Nizhnik- Novikov- Veselov equation is solved an abundance of exact periodic soliton wave so- lutions and double periodic soliton wave solutions. Obviously, the extended Hirota method can be applied to solve some oth- er nonlinear evolution equations as well.

关 键 词：(2+1)维Nizhnik-Novikov-Veselov方程 HIROTA方法 周期孤子解 双周期孤子解 

分 类 号：O175.29[理学—数学]