69 citations · 112 across the 8 of their papers we have counts for
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nlin.SI2013★ 1 cited
The discrete mKdV equation revisited: a Riemann-Hilbert approach
Junyi Zhu, Xianguo Geng, Yonghui Kuang
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 proble…
math.AG2013
On quasi-periodic solutions of the discrete Chen-Lee-Liu hierarchy
Xianguo Geng, Xin Zeng
Resorting to the Lax matrix and elliptic variables, the discrete Chen-Lee-Liu hierarchy is decomposed into solvable ordinary differential equations. Based on the theory of algebrai…
nlin.SI2013★ 42 cited
The AB equations and the -dressing method in semi-characteristic coordinates
Junyi Zhu, Xianguo Geng
The dressing method based on the matrix -problem is generalized to study the canonical form of AB equations. The soliton solutions for the AB equations are…