The integrability of nonisospectral and variable-coefficient KdV equation with binary Bell polynomials |
| |
| Authors: | Engui Fan |
| |
| Institution: | School of Mathematical Sciences and Key Laboratory of Mathematics for Nonlinear Science, Fudan University, Shanghai 200433, PR China |
| |
| Abstract: | Binary Bell polynomials are extended to systematically construct bilinear formalism, bilinear Bäcklund transformations, Lax pairs and infinite conservation laws of the nonisospectral and variable-coefficient KdV equation in a quick and natural way. Moreover, the infinite conservation laws are local and obtained through directly decoupling binary Bell polynomials. |
| |
| Keywords: | Binary Bell polynomial Nonisospectral KdV equation Bilinear Bä cklund transformation Lax pair Infinite conservation law |
| 本文献已被 ScienceDirect 等数据库收录！ |
