Integrable semi-discretization of a modified short wave equation

Authors

Yujuan Zhang
Ruyun Ma
Na Xiong
Bao-Feng Feng, The University of Texas Rio Grande ValleyFollow

Document Type

Article

Publication Date

3-2022

Abstract

In this paper, we are concerned with one of the integrable equations proposed by Hone et al. (2018). We firstly show that it can be derived from the Tzitzeica equation through hodograph or reciprocal transformations and it is linked to the short wave limits of the DP and Novikov equations, respectively, through Miura transformations. Based on the semi-discrete analogue of CKP-Toda hierarchy, we construct the integrable semi-discretization of what we call the modified short wave equation and provide its multi-soliton solution.

Comments

Original published version available at https://doi.org/10.1016/j.aml.2021.107739

Recommended Citation

Zhang, Yujuan, Ruyun Ma, Na Xiong, and Bao-Feng Feng. "Integrable semi-discretization of a modified short wave equation." Applied Mathematics Letters 125 (2022): 107739. https://doi.org/10.1016/j.aml.2021.107739

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.

Publication Title

Applied Mathematics Letters

DOI

10.1016/j.aml.2021.107739