partial derivative-problem and Cauchy matrix for the mKdV equation with self-consistent sources

被引：5

作者：

Zhu, Junyi ^{[1
]}

Zhou, Dewen ^{[2
]}

Geng, Xianguo ^{[1
]}

机构：

[1] Zhengzhou Univ, Dept Math, Zhengzhou 450001, Henan, Peoples R China

[2] Zhongyuan Univ Technol, Coll Sci, Zhengzhou 451191, Peoples R China

来源：

PHYSICA SCRIPTA | 2014年 / 89卷 / 06期

基金：

中国国家自然科学基金;

关键词：

partial derivative-problem; Cauchy matrix; mKdV equation; self-consistent sources; MODIFIED KDV EQUATION; PULSE-PROPAGATION; INTEGRATION; SOLITONS; SCATTERING; HIERARCHY; SYSTEM; WAVES;

D O I：

10.1088/0031-8949/89/6/065201

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The modified Korteweg-de Vries (mKdV) and Maxwell-Bloch system is studied by using the dressing method based on the local 2 x 2 matrix. partial derivative-problem. By virtue of a singular dispersion relation, we derive the present mKdV equation with self-consistent sources which change the velocities of the solitons. The explicit solutions, including the bright and dark type N-soliton solutions due to different forms of the spectral transform matrix, are given by virtue of the properties of the Cauchy matrix.

引用

页数：7

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