A New 2 + 1-Dimensional Integrable Variable Coefficient Toda Equation
Open Access
- 1 January 2021
- journal article
- research article
- Published by Scientific Research Publishing, Inc. in Journal of Applied Mathematics and Physics
- Vol. 09 (08), 2152-2158
- https://doi.org/10.4236/jamp.2021.98134
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.Keywords
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