| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1899650 | Reports on Mathematical Physics | 2014 | 25 Pages |
Abstract
Using the method of separation of variables based on Bäcklund transformation, new classification results with exact solutions for various generalized nonlinear evolution equations such as the KdV-type equations, the NNV-type equations and the Schrödinger-type equations are obtained. We also present a unified construction method for nonlinear evolution equations which admit separation of variable and the main tool is a class of generalized multidimensional binary Bell polynomials.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Shoufeng Shen, Yongyang Jin, Jun Zhang,