Variable-coefficient nonisospectral Toda lattice hierarchy and its exact solutions

Pramana

Sheng Zhang1¹  Di Wang¹ 

[1] School of Mathematics and Physics, Bohai University, Jinzhou 121013, People's Republic of China$$

关键词: Variable-coefficient nonisospectral Toda lattice hierarchy;    exact solution;    compatibility condition;    inverse scattering transformation.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

In this paper, a hierarchy of nonisospectral equations with variable coefficients is derived from the compatibility condition of Toda spectral problem and its time evolution. In order to solve the derived Toda lattice hierarchy, the inverse scattering transformation is utilized. As a result, new and more general exact solutions are obtained. It is shown that the inverse scattering transformation can be generalized to solve some other nonisospectral lattice hierarchies with variable coefficients.

【 授权许可】

Unknown