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
收藏
页码：1612 / 1618
页数：7
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