共查询到17条相似文献,搜索用时 93 毫秒
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利用分离变量法得到了2+1维Nizhnik-Novikov-Veselov方程包含三个任意函数的精确解.合 适地选择任意函数,该精确解可以是描述所有方向指数局域的dromion相互作用,三个方向 指数局域的‘Solitoff’和dromion相互作用以及线孤子和y周期孤子相互作用的解.对dromi on相互作用从解析和几何两个角度进行了详细地探讨,揭示了一些新的相互作用规律.
关键词:
dromions相互作用
NNV方程
分离变量法 相似文献
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联立薛定谔方程的不传播光孤子和传播光孤子 总被引:1,自引:0,他引:1
映射法是一种非常经典、有效而且非常成熟的一种求解非线性演化方程的方法,其最大的特点是可以有无穷多个不同形式的设解,使得最终求得的解丰富多彩。传统的方法是在行波约化的前提下,即在常微分方程下进行映射。将这种方法进行扩展,推广成变系数的非行波约化下的映射,取得了成功,并利用改进的里卡蒂(Riccati)方程映射法,得到了联立薛定谔方程(负KdV方程)新的精确解。根据所得到的解模拟出了联立薛定谔方程的不传播光孤子(时间光孤子和亮-暗脉冲光孤子)和传播光孤子,以及光孤子的中和现象。 相似文献
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MA Song-Hua QIANG Ji-Ye FANG Jian-Ping 《理论物理通讯》2007,48(4):662-666
By means of an improved mapping method and a variable separation method, a series of variable separation solutions including solitary wave solutions, periodic wave solutions and rational function solutions) to the (2+1)-dimensional breaking soliton system is derived. Based on the derived solitary wave excitation, we obtain some special annihilation solitons and chaotic solitons in this short note. 相似文献
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Starting from an extended mapping approach, a new type of variable separation solution with arbitrary functions of generalized (2 1)-dimensional Broer-Kaup system (GBK) system is derived. Then based on the derived solitary wave solution, we obtain some specific chaotic solitons to the (2 1)-dimensional GBK system. 相似文献
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FANG Jian-Ping ZHENG Chun-Long ZHU Hai-Ping REN Qing-Bao CHEN Li-Qun 《理论物理通讯》2005,44(2):203-208
Starting from an extended mapping approach, a new type of variable separation solution with arbitrary functions of generalized (2+1)-dimensional Broer-Kaup system (GBK) system is derived. Then based on the derived solitary wave solution, we obtain some specific chaotic solitons to the (2+1)-dimensional GBK system. 相似文献
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Complex wave excitations general (2+1)-dimensional and chaotic patterns for a Korteweg-de Vries system 下载免费PDF全文
Starting from an improved mapping approach and a linear variable separation approach, a new family of exact solutions (including solitary wave solutions, periodic wave solutions and rational function solutions) with arbitrary functions for a general (2+1)-dimensional Korteweg de solutions, we obtain some novel dromion-lattice solitons, system Vries system (GKdV) is derived. According to the derived complex wave excitations and chaotic patterns for the GKdV 相似文献