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广义Zakharov方程组新的显式精确解(英文)

New explicit exact solutions to the generalized Zakharov equations
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摘要 通过广义Jacobi椭圆函数展开法,借助Mathematica软件,求出了广义Zakharov方程组一系列新的复合形式的双周期解,部分解在极限情况下退化为孤立波解和三角函数解.丰富、简化和发展了已有的结果. In this paper, some new complex doubly periodic solutions to the generalized Zakharov equations are obtained by using the generalized Jacobi elliptic function expansion method with the aid of methematica software, some of which were degenerated to the solitary wave solutions and the triangular function solutions in the limit cases. This method replenished, simplified and developed the known results.
出处 《安徽大学学报(自然科学版)》 CAS 北大核心 2012年第3期37-42,共6页 Journal of Anhui University(Natural Science Edition)
基金 Supported by the National Nature Science Foundation of China(61070231) the Outstanding Personnal Programin Six Fields of Jiangsu(2009188) the Scientific Research Foundation of Nanjing Institute of Technology(QKJA2010011)
关键词 广义Zakharov方程组 广义Jacobi椭圆函数展开法 双周期解 精确解 generalized Zakharov equations generalized Jacobi elliptic function expansion method doubly periodic solutions exact solutions
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