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(2+1)维 Zakharov-Kuznetsov 方程的精确解和孤子结构
引用本文:杨征,马松华,方建平.(2+1)维 Zakharov-Kuznetsov 方程的精确解和孤子结构[J].物理学报,2011,60(4):40508-040508.
作者姓名:杨征  马松华  方建平
作者单位:浙江丽水学院数理学院,丽水 323000
基金项目:浙江省自然科学基金(批准号:Y6100257, Y6090681),浙江丽水学院自然科学基金(批准号:KY08003, KZ09005)资助的课题.
摘    要:在符号计算软件Maple的帮助下,利用改进的Riccati方程映射法得到了(2+1)维Zakharov-Kuznetsov方程(ZK)的新显式精确解. 根据得到的解,研究了ZK方程的特殊孤子结构. 关键词: 改进的Riccati方程映射法 Zakharov-Kuznetsov方程 精确解 孤子结构

关 键 词:改进的Riccati方程映射法  Zakharov-Kuznetsov方程  精确解  孤子结构
收稿时间:2010-10-14

Exact solutions and soliton structures of (2 +1) -dimensional Zakharov-Kuznetsov equation
Yang Zheng,Ma Song-Hua,Fang Jian-Ping.Exact solutions and soliton structures of (2 +1) -dimensional Zakharov-Kuznetsov equation[J].Acta Physica Sinica,2011,60(4):40508-040508.
Authors:Yang Zheng  Ma Song-Hua  Fang Jian-Ping
Institution:College of Mathematics and Physics, Zhejiang Lishui University, Lishui 323000, China;College of Mathematics and Physics, Zhejiang Lishui University, Lishui 323000, China;College of Mathematics and Physics, Zhejiang Lishui University, Lishui 323000, China
Abstract:With the help of the symbolic computation system Maple and an improved Riccati equation mapping approach, a series of exact solutions of the (2+1)-dimensional Zakharov-Kuznetsov equation (ZK) is derived. Based on the derived solution, we obtain some special soliton structures.
Keywords:improved Riccati equation mapping approach  Zakharov-Kuznetsov equation  exact solutions  soliton structures
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