FOCUSING mKdV BREATHER SOLUTIONS WITH NONVANISHING BOUNDARY CONDITION BY THE INVERSE SCATTERING METHOD

被引：17

作者：

Alejo, Miguel A. ^{[1
]}

机构：

[1] Univ Bonn, Dept Theoret Biol, Bonn, Germany

来源：

JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS | 2012年 / 19卷 / 01期

关键词：

mKdV equation; breather; inverse scattering; nonvanishing condition; POSEDNESS; EQUATION;

D O I：

10.1142/S140292511250009X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using the Inverse Scattering Method with a nonvanishing boundary condition, we obtain an explicit breather solution with nonzero vacuum parameter b of the focusing modified Korteweg-de Vries (mKdV) equation. Moreover, taking the limiting case of zero frequency, we obtain a generalization of the double pole solution introduced by M. Wadati et al.

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页码：119 / 135

页数：17

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