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.
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页码：1612 / 1618
页数：7
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