Spider-web solutions of the coupled KP equation
Spider-web solutions of the coupled KP equation
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DOI：
10.1088/0305-4470/36/36/307
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发表时间：
2003-09
期刊：
影响因子：
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通讯作者：
S. Isojima;R. Willox;J. Satsuma
中科院分区：
文献类型：
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作者：
S. Isojima;R. Willox;J. Satsuma
耦合Kadomtsev-Petviashvili（cKP）方程具有比通常KP方程的孤子更大的参数自由度的N孤子解.因此，可以预期，其解决方案将模拟比KP对应方案复杂得多的相互作用。cKP解存在“网状”结构（在有限规模上）（Isojima S、Willox R和Satsuma J 2002 J. Phys. A：Math. Gen. 35 6893-6909）是这种更大自由的体现。本文提出了一种分析孤子行为的新方法，并给出了一些例子。此外，我们讨论了“本质上是三体碰撞”，描述的cKP方程的两个孤子的解决方案。
The coupled Kadomtsev–Petviashvili (cKP) equation possesses N-soliton solutions with more parametric freedom than the solitons of the usual KP equation. Its solutions can therefore be expected to model far more complex interactions than their KP counterparts. The existence of ‘web’-like structures (on a finite scale) for cKP solutions (Isojima S, Willox R and Satsuma J 2002 J. Phys. A: Math. Gen. 35 6893–6909) is a manifestation of this greater freedom. In this paper, we propose a new method to analyse the behaviour of solitons which we demonstrate in some examples. In addition we discuss ‘essentially three-body collisions’, described by a two-soliton solution of the cKP equation.