理论数学

Vol.1 No.2 (July 2011)

非等谱mKP方程的孤子共振解
Soliton Resonance of the NI-mKP Equation

 

作者:

吴妙仙 , 颜姣姣

 

关键词:

共振孤子方程Hirota双线性方法非等谱mKP方程TResonance Soliton Equation Hirota Bilinear Method Nonisospectral mKP Equatin

 

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。

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 (2011) 非等谱mKP方程的孤子共振解。 理论数学, 1, 99-106. doi: 10.12677/pm.2011.12021

 

参考文献

分享
Top