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Nabelek, P.V. and Zakharov, V.E. (2020) Solutions to the Kaup? CBroer System and Its (2 + 1) Dimensional Integrable Generalization via the Dressing Method. Physica D Nonlinear Phenomena, 409, Article ID: 132478.

has been cited by the following article:

• 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.