非等谱mKP方程的孤子共振解
Soliton Resonance of the NI-mKP Equation
摘要: 共振是孤子相互作用的一种现象,本文利用渐进分析法研究了非等谱修正Kadomtsev-Petviashvili(mKP)方程的共振解。首先使用Hirota双线性方法得出其2孤子和3孤子解,然后通过详细的图像分析、比较,研究了2,3孤子的各种共振现象。
Abstract: Resonance is one of soliton interaction phenomenon, in this peper the soliton resonance of the NI-modified Kadomtsev-Petviashvili (mKP) equation will be studied by asymptotic analysis. At first, its 2-and 3-soliton solution will be presented using Hirota bilinear method, then we will further study the reso-nance property of 2 and 3 soliton solutions through the detail image analysis and comparison.
文章引用:吴妙仙, 颜姣姣. 非等谱mKP方程的孤子共振解[J]. 理论数学, 2011, 1(2): 99-106. http://dx.doi.org/10.12677/pm.2011.12021

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