具有自洽源的mKPI方程的多孤子解

Journal of physics A: Mathematical and general Pub Date : 2006-11-15 DOI:10.1088/0305-4470/39/48/007

Shu-fang Deng

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引用次数: 10

摘要

通过修正Kadomtsev-Petviashvili (mKPI)系统的线性问题，导出了自洽源修正Kadomtsev-Petviashvili方程(mKPIESCS)。给出了mKPIESCS的双线性形式，并分别用Hirota法和Wronskian技术得到了n孤子解。直接计算表明了这些解的一致性。

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The multisoliton solutions for the mKPI equation with self-consistent sources

The modified Kadomtsev–Petviashvili I equation with self-consistent sources (mKPIESCS) is derived through the linear problem of the modified Kadomtsev–Petviashvili I (mKPI) system. The bilinear form of the mKPIESCS is given and the N-soliton solutions are obtained through the Hirota method and the Wronskian technique, respectively. The coincidence of these solutions is shown by direct computation.

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Journal of physics A: Mathematical and general

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