期刊论文详细信息
Nonlinear Analysis | |
Group analysis and conservation laws of anintegrable Kadomtsev–Petviashvili equation | |
Yingwei Chen1  Gangwei Wang1  Qi Wang1  | |
[1] Hebei University of Economics and Business; | |
关键词: integrable KP equation; symmetry analysis; soliton solutions; nonlinear self-adjointness; conservation laws; | |
DOI : 10.15388/NA.2019.1.3 | |
来源: DOAJ |
【 摘 要 】
In this paper, an integrable KP equation is studied using symmetry and conservation laws. First, on the basis of various cases of coefficients, we construct the infinitesimal generators. For the special case, we get the corresponding geometry vector fields, and then from known soliton solutions we derive new soliton solutions. In addition, the explicit power series solutions are derived. Lastly, nonlinear self-adjointness and conservation laws are constructed with symmetries.
【 授权许可】
Unknown