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Zakharov方程组的新解探索
引用本文:吴晓飞.Zakharov方程组的新解探索[J].云南师范大学学报(自然科学版),2006,26(2):50-53,57.
作者姓名:吴晓飞
作者单位:浙江丽水学院物理系,浙江,丽水,323000;同济大学电子信息学院,上海,200433
摘    要:将范恩贵教授最近提出的新代数法推广应用到Zakharov方程组,比较方便地得到了新的解析周期解,包括亮孤子解、暗孤子解、Jacobi椭圆函数双周期解、三角函数解和一种新形式的孤立子解等。这种方法也适用于其它非线性波动方程或方程组的研究。

关 键 词:Zakharov方程组  新代数法  周期解  孤立子解
文章编号:1007-9793(2006)02-0050-04
收稿时间:2005-04-11
修稿时间:2005-04-11

The New Exact Solutions to Nonlinear Eakharov Equations
WU Xiao-fei.The New Exact Solutions to Nonlinear Eakharov Equations[J].Journal of Yunnan Normal University (Natural Sciences Edition),2006,26(2):50-53,57.
Authors:WU Xiao-fei
Institution:1. Department of Physics, Zhejiang Lishui University, Lishui 323000, China 2. College of Electronic Information, Tongji University, Shanghai 200433,China
Abstract:An new algebraic method is applied to construct the explicit exact solitary wave solutions of the Zakharov Equation. Some solutions are obtained which include bright soliton solutions, dark soliton solutions, Jacobi elliptic function doubly periodical solutions, triangular solutions, and a new type of soliton solutions by this method. The method can also be applied to other nonlinear equation and equations.
Keywords:Zakharov equations  new algebraic method  periodic solutions  soliton solutions
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