| （2+1）维NLBQ方程和KP方程的多dromion结构和相互作用的研究 |
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| 引用本文： | 阮航宇.（2+1）维NLBQ方程和KP方程的多dromion结构和相互作用的研究[J].物理学报,1999,48(10):1781-1792. |
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| 作者姓名： | 阮航宇 |
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| 作者单位： | 宁波大学师范学院物理系，宁波 315211；浙江大学近代物理中心，杭州 310027 |
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| 基金项目： | 国家自然科学基金（批准号：19975025、浙江省自然科学基金（批准号：196003）和宁波大学基金资助的课题. |
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| 摘 要： | 从（2+1）维双线性形式的非局域Bussinesq(NLBQ)方程和KP方程的隐线孤子解出发，可以找到与某种势所相应的各方向都指数衰减的dromion解.利用图形分析的方法,对这些dromion之间的相互作用进行了详细的研究.发现这两种模型中的dromion间的相互作用只引起位相漂移,不引起形状和速度的变化,也不引起旋转.即dromion间的相互作用是弹性的,没有能量、动量和角动量的交换.
关键词：
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| 关 键 词： | NLBQ方程 KP方程 dromion解 d－结构 |
| 收稿时间： | 1999-01-26 |
THE STUDY OF MULTI-DROMION STRUCTURES AND INTERACTIONS OF (2+1)-DIMENSIONAL NLBQ EQUATION AND KP EQUATION |
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| RUAN HANG-YU.THE STUDY OF MULTI-DROMION STRUCTURES AND INTERACTIONS OF (2+1)-DIMENSIONAL NLBQ EQUATION AND KP EQUATION[J].Acta Physica Sinica,1999,48(10):1781-1792. |
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| Authors: | RUAN HANG-YU |
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| Abstract: | Starting from two-line soliton solution of an integrable (2+1)-dimensional system in bilinear form,one can find a dromion solution that is localized in all directions for a suitable potential.The in-teraction between two dromions is studied in detail through the method of figure analysis for (2+1)-dimensional NLBQ equation and KP equation.Except for a phase shift,there are no changes on the shape and velocity of the dromions after interactions for these models.The interactions of dromions for these models are not only elastic (there is no exchange of energy)but also irrotational (there is no exchange of angular momentum). |
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