Conserved quantities and generalized solutions of the ultradiscrete KdV equation

被引：9
|
作者：
Kanki, Masataka [1 ]
Mada, Jun [2 ]
Tokihiro, Tetsuji [1 ]
机构：
[1] Univ Tokyo, Grad Sch Math Sci, Tokyo 1538914, Japan
[2] Nihon Univ, Coll Ind Technol, Chiba 2758576, Japan
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2011年 / 44卷 / 14期
关键词：
BOX-BALL SYSTEMS; SOLITON CELLULAR-AUTOMATON;
D O I：
10.1088/1751-8113/44/14/145202
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We construct generalized solutions to the ultradiscrete KdV equation, including the so-called negative solition solutions. The method is based on the ultradiscretization of soliton solutions to the discrete KdV equation with gauge transformation. The conserved quantities of the ultradiscrete KdV equation are shown to be constructed in a similar way to those for the box-ball system.
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页数：13
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