The discrete mKdV equation revisited: a Riemann-Hilbert approach
Exactly Solvable and Integrable Systems
2014-02-13 v2
Abstract
We study the plus and minus type discrete mKdV equation. Some different symmetry conditions associated with two Lax pairs are introduced to derive the matrix Riemann-Hilbert problem with zero. By virtue of regularization of the Riemann-Hilbert problem, we obtain the complex and real solution to the plus type discrete mKdV equation respectively. Under the gauge transformation between the plus and minus type, the solutions of minus type can be obtained in terms of the given plus ones.
Keywords
Cite
@article{arxiv.1310.1666,
title = {The discrete mKdV equation revisited: a Riemann-Hilbert approach},
author = {Junyi Zhu and Xianguo Geng and Yonghui Kuang},
journal= {arXiv preprint arXiv:1310.1666},
year = {2014}
}
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19pages