Korteweg–de Vries hierarchy using the method of base equations

Pramana

B Talukdar²  J Pal¹  Subhendu Chakrabarti² 

[1] Department of Physics, Bolpur College, Bolpur 731 204, India$$;Department of Physics, Visva-Bharati University, Santiniketan 731 235, India$$

关键词: KdV hierarchy;    base-equations method.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

A base-equation method is implemented to realize the hereditary algebra of the Korteweg–de Vries (KdV) hierarchy and the 𝑁-soliton manifold is reconstructed. The novelty of our approach is that, it can in a rather natural way, predict other nonlinear evolution equations which admit local conservation laws. Significantly enough, base functions themselves are found to provide a basis to regard the KdV-like equations as higher order degenerate bi-Lagrangian systems.

【 授权许可】

Unknown