摘要
这篇论文详细与前後一致的来源一起调查修改 KdV 方程的动力学,包括 one-soliton 的特征,散布条件和二 solitons,二 solitons 的退化案例和“鬼”的阶段移动 solitons,等等。合作行动并列框架在 asymptotic 分析被采用。
This paper investigates in detail the dynamics of the modified KdV equation with self-consistent sources, including characteristics of one-soliton, scattering conditions and phase shifts of two solitons, degenerate case of two solitons and "ghost" solitons, etc. Co-moving coordinate frames are employed in asymptotic analysis.
基金
The project supported by National Natural Science Foundation of China under Grant Nos.10371070 and 10671121
the Foundation of Shanghai Education Committee for Shanghai Prospective Excellent Young Teachers
关键词
KDV方程
自我调制
孤立子散射
数学物理
modified kdV equation with self-consistent source, soliton scattering