标题:
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
关键字:
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
期刊名称:
《Pure Mathematics》, Vol.1 No.2, 2011-08-09
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.