FINITE-GAP PERIODIC-SOLUTIONS OF THE KDV EQUATION ARE NONDEGENERATE

被引：10

作者：

BOBENKO, AI

KUKSIN, SB

机构：

[1] Max-Planck-Institut für Mathematik, W-5300 Bonn 3

来源：

PHYSICS LETTERS A | 1991年 / 161卷 / 03期

关键词：

D O I：

10.1016/0375-9601(91)90016-2

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We complete the proofs of two statements concerning finite-gap solutions periodic in x of the KdV equation: (i) most of these solutions survive under Hamiltonian perturbations of the KdV equation, (ii) for most of the solutions of the perturbed equation, which were close to some finite-gap potential at t = 0, the averaging theorem of Bogolyubov-Krylov type is valid.

引用

页码：274 / 276

页数：3

共 7 条

[1]

Bobenko A. I., 1988, SOVIET MATH DOKL, V36, P38

[2] QUALITATIVE-ANALYSIS AND CALCULATIONS OF FINITE-GAP SOLUTIONS OF THE KORTEWEG DE VRIES EQUATION - AUTOMORPHIC APPROACH [J].