An integrable nonlinear diffusion hierarchy with a two-dimensional arbitrary function

被引：0
|
作者：
Ling-Ling, Xue [1 ,2 ]
Qing-Ping, Liu [1 ,2 ,3 ]
Sen-Yue, Lou [1 ,2 ,4 ]
机构：
[1] Ningbo Univ, Ningbo Collaborat Innovat Ctr Nonlinear Harzard S, Ningbo 315211, Zhejiang, Peoples R China
[2] Ningbo Univ, Fac Sci, Ningbo 315211, Zhejiang, Peoples R China
[3] China Univ Min & Technol, Dept Math, Beijing 100083, Peoples R China
[4] E China Normal Univ, Shanghai Key Lab Trustworthy Comp, Shanghai 200062, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2015年 / 50卷
关键词：
Integrable models; Symmetries; Hereditary recursion operators; Nonlinear diffusion equations; Non local conservation laws; Exact solutions; HEREDITARY SYMMETRIES;
D O I：
10.1016/j.aml.2015.06.011
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
By introducing the hereditary condition to a general first order differential strong symmetry operator, we obtain general 1+1 and 2+1 dimensional integrable nonlinear diffusion hierarchies with infinitely many symmetries and Lax pairs. For a special example the infinitely many nonlocal conservation laws and some explicit and implicit exact solutions are also given. (C) 2015 Elsevier Ltd. All rights reserved.
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页码：105 / 110
页数：6
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