当前位置: X-MOL 学术Theor. Math. Phys. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Bäcklund Transformations for the Degasperis-Procesi Equation
Theoretical and Mathematical Physics ( IF 1.0 ) Pub Date : 2020-06-01 , DOI: 10.1134/s0040577920060045
Hui Mao , Gaihua Wang

We consider the Bäcklund transformation for the Degasperis-Procesi (DP) equation. Using the reciprocal transformation and the associated DP equation, we construct the Bäcklund transformation for the DP equation involving both dependent and independent variables. We also obtain the corresponding nonlinear superposition, which we use together with the Bäcklund transformation to derive some soliton solutions of the DP equation.

中文翻译:

Degasperis-Procesi 方程的 Bäcklund 变换

我们考虑 Degasperis-Procesi (DP) 方程的 Bäcklund 变换。使用倒数变换和相关的 DP 方程,我们为包含因变量和自变量的 DP 方程构造了 Bäcklund 变换。我们还获得了相应的非线性叠加,我们将其与 Bäcklund 变换一起使用以推导出 DP 方程的一些孤子解。
更新日期:2020-06-01
down
wechat
bug