TITLE:
A New 2 + 1-Dimensional Integrable Variable Coefficient Toda Equation
AUTHORS:
Yanan Huang, Junhong Yao, Ting Su
KEYWORDS:
The Generalized Dressing Method, Variable Coefficient Toda, Separation of Variables
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.9 No.8,
August
31,
2021
ABSTRACT: In this paper, a new integrable variable coefficient Toda equation is proposed by utilizing a generalized version of the dressing method. At the same time, we derive the Lax pair of the new integrable variable coefficient Toda equation. The compatibility condition is given, which insures that the new Toda equation is integrable. To further analyze the character of the Toda equation, we derive one soliton solution of the obtained Toda equation by using separation of variables.