69 citations · 112 across the 8 of their papers we have counts for
9 papers
Asymptotic behavior analysis of solutions to the Heisenberg ferromagnet equation with the Schwartz initial data
Xumeng Zhou, Xianguo Geng, Bo Xue
This work aims to investigate the long-time asymptotic behavior of solutions to the Cauchy problem for the Heisenberg ferromagnet equation with the Schwartz initial data. Utilizing…
Mean escape time for randomly switching narrow gates in a cellular flow
Hui Wang, Jinqiao Duan, Xianguo Geng +1
The escape of particles through a narrow absorbing gate in confined domains is a abundant phenomenon in various systems in physics, chemistry and molecular biophysics. We consider…
Periodic and rational solutions of the reduced Maxwell-Bloch equations
Jiao Wei, Xin Wang, Xianguo Geng
We investigate the reduced Maxwell-Bloch (RMB) equations which describe the propagation of short optical pulses in dielectric materials with resonant non-degenerate transitions. Th…
Algebro-geometric Constructions to the Dym-type Hierarchy
Lihua Wu, Guoliang He, Xianguo Geng
Resorting to the characteristic polynomial of Lax matrix for the Dym-type hierarchy, we define a trigonal curve, on which appropriate vector-valued Baker-Akhiezer function and mero…
Quasi-periodic solutions of the Heisenberg hierarchy
Xianguo Geng, Zhu Li, Liang Guan
The Heisenberg hierarchy and its Hamiltonian structure are derived respectively by virtue of the zero curvature equation and the trace identity. With the help of the Lax matrix we…
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…