ABOUT THE CAMASSA-HOLM EQUATION WITH A SELF-CONSISTENT SOURCE

被引：0

作者：

Baltaeva, I. I. ^{[1
]}

Urazboev, G. U. ^{[1
]}

机构：

[1] Urgench State Univ, Hamid Olimjon Str 14, Urgench 220100, Uzbekistan

来源：

UFA MATHEMATICAL JOURNAL | 2011年 / 3卷 / 02期

关键词：

the Camassa-Holm equation; inverse scattering problem; scattering data; Lax pair; eigenvalue; eigenfunction;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The paper is devoted to solving the Camassa-Holm equation with a self-consistent source of a special type by the inverse scattering method. The main result consists in determining the evolution of the scattering data for the spectral problem associated with the Camassa-Holm equation with a self-consistent source of a special type. In contrast to the classical Camassa-Holm equation, the eigenvalues of the spectral problem are moving in the problem under consideration. The resulting equalities determine the evolution of the scattering data completely; this fact allows us to apply the inverse scattering method for solving the considered problem.

引用

页码：10 / 18

页数：9

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