| 组合KdV和mKdV方程新的显式精确解(英文) |
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| 引用本文： | 洪宝剑,卢殿臣.组合KdV和mKdV方程新的显式精确解(英文)[J].内蒙古师范大学学报(自然科学版),2011(2). |
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| 作者姓名： | 洪宝剑 卢殿臣 |
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| 作者单位： | 南京工程学院基础部;江苏大学非线性科学研究中心; |
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| 基金项目： | Supported by the National Nature Science Foundation of China(61070231); the Outstanding Personnel Programin Six Fields of Jiangsu(2009188); the Scientific Research Foundation of NanJing Institute of Technology(QKJA2010011) |
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| 摘 要： | 将Jacobi椭圆函数展开法进一步扩展,并利用这一方法求出组合KdV方程和mKdV方程的一系列新的显式精确解,在模数m→1或0的极限情况下,可得到相应的孤立波解和单周期波解.研究表明,该方法在寻求数学物理领域的非线性偏微分方程的精确解方面是有效的.
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| 关 键 词： | 扩展的Jacobi椭圆函数展开法 双周期解 精确解 组合KdV方程 |
New Exact Solutions for the Combined KdV and mKdV Equation |
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| HONG Bao-jian,LU Dian-chen.New Exact Solutions for the Combined KdV and mKdV Equation[J].Journal of Inner Mongolia Normal University(Natural Science Edition),2011(2). |
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| Authors: | HONG Bao-jian LU Dian-chen |
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| Institution: | HONG Bao-jian1,LU Dian-chen2(1.Department of Basic Courses,Nanjing Institute of Technology,Nanjing 211167,China,2.Nonlinear Scienific Research Center,Jiangsu University,Zhengjiang 212013,Jiangsu,China) |
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| Abstract: | |
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| Keywords: | generalized Jacobian elliptic functions expansion method doubly periodic solutions exact solutions combined KdV equation |
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