On the solution to the inverse problem for the Toda chain

被引：7

作者：

Villarroel, J ^{[1
]}

机构：

[1] Univ Salamanca, Dept Matemat, E-37008 Salamanca, Spain

来源：

SIAM JOURNAL ON APPLIED MATHEMATICS | 1998年 / 59卷 / 01期

关键词：

integrable equations; inverse problems;

D O I：

10.1137/S0036139996300903

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The "elliptic" version of a three-dimensional nonlinear integrable equation, the Toda chain equation, is studied by means of the inverse scattering method. Several classes of decaying solutions corresponding to both the continuous and discrete spectrum of the associated spectral problem are obtained. Conditions that guarantee reality and analyticity along with relevant estimates are also given. Finally a class of solutions with rotational symmetry is constructed.

引用

页码：261 / 285

页数：25

共 6 条

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[2] Ablowitz MJ., 1981, SOLITONS INVERSE SCA, V4
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[4] MIKHAILOV AV, 1979, JETP LETT, V30, P413
[5] ON THE INVERSE SCATTERING TRANSFORM OF THE 2+1 TODA EQUATION
VILLARROEL, J
ABLOWITZ, MJ
[J]. PHYSICA D, 1993, 65 (1-2): : 48 - 70
[6] ON THE METHOD OF SOLUTION TO THE 2+1 TODA EQUATION
VILLARROEL, J
ABLOWITZ, MJ
[J]. PHYSICS LETTERS A, 1992, 163 (04) : 293 - 298

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