Symmetry Analysis and Exact Solutions of the 2D Unsteady Incompressible Boundary-Layer Equations
- ISSN号:0253-6102
- 期刊名称:《理论物理通讯:英文版》
- 时间:0
- 分类:O175.29[理学—数学;理学—基础数学] TQ051.72[化学工程]
- 作者机构:[1]Shanghai Key Laboratory of Trustworthy Computing, East China Normal University, Shanghai 200062, [2]Department of Physics, Zhejiang Normal University, 3inhua 321004
- 相关基金:Supported by the Global Change Research Program of China under Grant No 2015CB953904, the National Natural Science Foundation of China under Grant Nos 11675054 and 11435005, and the Shanghai Collaborative Innovation Center of Trustworthy Software for Internet of Things under Grant No ZF1213.
中文摘要:
二维的 Maccari 系统的一般明亮黑暗的混合 N-soliton 答案与 KP 层次减小方法被获得。单身者和二 solitons 的动力学详细被讨论。Asymptotic 分析证明二 solitons 经历位置移动伴随的有弹性的碰撞。而且,我们混合 soliton 界限状态上的分析证明任意的高顺序的 soliton 界限状态能发生。
英文摘要:
The general bright-dark mixed N-soliton solution of the two-dimensional Maccari system is obtained with the KP hierarchy reduction method. The dynamics of single and two solitons are discussed in detail. Asymptotic analysis shows that two solitons undergo elastic collision accompanied by a position shift. Furthermore, our analysis on mixed soliton bound states shows that arbitrary higher-order soliton bound states can take place.