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

作者：Ling-Ling, Xue; Qing-Ping, Liu; Sen-Yue, Lou^*

来源：Applied Mathematics Letters, 2015, 50: 105-110.

DOI：10.1016/j.aml.2015.06.011

• Integrable models
• Symmetries
• Hereditary recursion operators
• Nonlinear diffusion equations
• Non local conservation laws
• Exact solutions

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.

• 出版日期2015-12
• 单位宁波大学; 华东师范大学; 中国矿业大学（北京）