Commutation and Darboux transformation

Pramana

M V Prabhakar¹  H Bhate2² 

[1]College of Military Engineering, Pune 411 031, India$$

[2]Department of Mathematics, Savitribai Phule Pune University, Pune 411 007, India$$

关键词: Darboux transformation;    nonlinear evolution equations;    exact solutions.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

In this paper we show that the Darboux transformation for a large class of nonlinear evolution equations arises due to factorization and commutation. The factorization and commutation has been pointed out earlier for Schrödinger operator. We show that it extends to a large class of nonlinear differential equations which admit Lax pairs including Boussinesq, Davey–Stewartson, Bogoyavlensky–Schiff and 𝑛-wave interaction equation.

【 授权许可】

Unknown