Universal map for fractal structures in weak interactions of solitary waves.
Universal map for fractal structures in weak interactions of solitary waves.
复制标题
孤立波弱相互作用中分形结构的通用图。
DOI：
--
复制
发表时间：
2008
影响因子：
8.6
通讯作者：
Jianke Yang
中科院分区：
文献类型：
--
作者：
Yi Zhu;R. Haberman;Jianke Yang
分析了广义非线性Schrödiger方程(GNLS)弱孤立波相互作用中的分形散射。利用渐近方法，将这些弱相互作用简化为一个普适的二阶映射。这张图在定性和定量上都与GNLS方程给出了相同的分形散射图案。文中还推导了这些分形图的标度律。
Fractal scatterings in weak solitary-wave interactions are analyzed for generalized nonlinear Schrödiger equations (GNLS). Using asymptotic methods, these weak interactions are reduced to a universal second-order map. This map gives the same fractal-scattering patterns as those in the GNLS equations both qualitatively and quantitatively. Scaling laws of these fractals are also derived.