“三波法”在(2+1)维MNNV方程组中的应用  

Application of three-wave method in the(2+1)-dimensional MNNV equations

作　　者：赵展辉[1] 何晓莹[1] 韩松[1] 

机构地区：[1]广西工学院理学院,广西柳州545006

出　　处：《广西工学院学报》2012年第3期4-14,共11页Journal of Guangxi University of Technology

基　　金：国家自然科学基金项目(11061003)资助;广西自然科学基金项目(2011GXNSFA018137)资助;广西教育厅科研课题项目(201010LX250)资助

摘　　要：利用"三波法"结合Hirota双线性算子,得到(2+1)维Modified Nizhnik-Novikov-Vesselov方程组的双呼吸类型孤立波解、呼吸类型孤立波解、周期孤立波解、三孤立波解和周期解.结果表明,"三波法"是获得非线性偏微分方程孤立波解的一个有效的方法.A new type of three-wave solutions including double breather type of solitary-wave solution, breather type of solitary-wave solutions, periodic solitary-wave solution, three solitary-wave solution and periodic solution for the （2＋1） -dimensional MNNV equations are obtained by using three-wave method with the aid of Hirota＇s bilinear form. It is shown that three-wave method is an effective method to obtain the solitary wave solutions of nonlinear partial differential equation.

关 键 词：(2+1)维MNNV方程组 三波法 Hirota双线性算子 双呼吸类型孤立波解 呼吸类型孤立波解 周期孤立波解 三孤立波解 周期解 

分 类 号：O175.29[理学—数学]