N-SOLITON SOLUTIONS AND CONSERVATION LAWS OF THE MODIFIED TODA LATTICE EQUATION

被引：12
|
作者：
Wen, Xiao-Yong [1 ]
机构：
[1] Beijing Informat Sci & Technol Univ, Dept Math, Coll Sci, Beijing 100192, Peoples R China
来源：
MODERN PHYSICS LETTERS B | 2012年 / 26卷 / 06期
基金：
北京市自然科学基金; 中国国家自然科学基金;
关键词：
Modified Toda lattice equation; N-fold Darboux transformation; conservation laws; symbolic computation; DIFFERENTIAL-DIFFERENCE EQUATIONS; DARBOUX TRANSFORMATION; INTEGRABLE SYSTEMS; HIERARCHY;
D O I：
10.1142/S0217984911500321
中图分类号：
O59 [应用物理学];
学科分类号：
摘要：
The modified Toda lattice equation is investigated via Darboux transformation (DT) technique, the N-fold DT is constructed based on its Lax representation. The N-soliton solutions are also derived via the resulting N-fold DT. Soliton structures and interaction behavior of those solutions are shown graphically. Finally, the infinitely many conservation laws for that system are given.
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页数：14
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