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“三波法”在(2+1)维MNNV方程组中的应用 被引量：4

Application of three-wave method in the(2+1)-dimensional MNNV equations
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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.
作者 赵展辉 何晓莹 韩松
机构地区 广西工学院理学院
出处 《广西工学院学报》 CAS 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
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 （2＋1）-dimensional MNNV equations three-wave method Hirota double linear operator double breather type of solitary-wave solution breather type of solitary-wave solutions periodic solitary-wave solution three solitary-wave solution periodic solution
分类号 O175.29 [理学—基础数学]
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共引文献11

同被引文献34

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引证文献4

二级引证文献8

广西工学院学报
2012年 第3期

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