Appell's lemma and conservation laws of KdV equation

被引：1

作者：

Yamamoto, Y. ^{[1
]}

Nagase, T. ^{[1
]}

Ohmiya, M. ^{[1
]}

机构：

[1] Doshisha Univ, Grad Sch Engn, Kyotanabe 6100394, Japan

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2010年 / 233卷 / 06期

关键词：

Appell's lemma; Conservation laws; KdV equation; Trace formulas of Deift-Trubowitz type; DARBOUX TRANSFORMATION;

D O I：

10.1016/j.cam.2009.02.076

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An alternative method to construct a class of conservation laws of the KdV equation based on the classical Appell's lemma and the trace formulas of Deift-Trubowitz type is studied. A new type of infinite sequence of conservation laws whose local densities cannot be expressed in terms of differential polynomials is constructed. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：1612 / 1618

页数：7

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