Mathematics
Guoping Zhang
Office: Carnegie 256
Phone: 443-885-4338
guoping.zhang@morgan.eduu
Education (degrees and institutions):
Ph.D. University of Tokyo, Japan, 2002
M.S. Wuhan University, China, 1996
B.S. Wuhan University, China, 1993
Research Interests:
Mathematical physics and nonlinear partial differential equations, especially nonlinear evolution PDEs (Schrödinger, Camassa-Holm, Degasperis-Procesi, Navier-Stokes equations, etc.) Continuous and discrete integrable systems, soliton theory, Inverse problem and its application to digital signal and image processing.
Selected Publications:
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- Solution to the initial value problem of the discrete nonlinear Schrödinger equation with complex potential, Nonlinear and Modern Mathematical Physics: NMMP-2022, Springer Proceedings in Mathematics and Statistics, 2023 (in press), with G. Aburamyah
- New Periodic Exact Traveling Wave Solutions of Camassa-Holm Equation, Partial Differential Equations in Applied Mathematics, (ScienceDirect), Volume 6, December 2022, 100426, https://doi.org/10.1016/j.padiff.2022.100426
- Initial value problem of the discrete nonlinear Schrödinger equation with complex potential, Applicable Analysis, DOI: 10.1080/00036811.2021.1906415, with A. Pankov (2021)
- Cuspons and smooth solitons of the Degasperis-Procesi equation under inhomogeneous boundary condition. Math Phys. Anal. Geom. (2007) 10:205–225, with Z. Qiao.
- Smoothing property and Strichartz inequality for Schrödinger equations with potentials superquadratic at infinity. J Differential Equations 2004 (202):81-110, with K. Yajima
- Smoothing properties for Schrödinger equations with potentials superquadratic at infinity. Commun Math Phys 2001 (221):573-90, with K. Yajima
Contact Us
Chairperson:
Dr. Asamoah Nkwanta
asamoah.nkwanta@morgan.edu
Graduate Program Coordinator:
Dr. Xuming Xie
xuming.xie@morgan.edu
Administrative Assistant:
Avreis Wallace
avreis.wallace@morgan.edu
Carnegie Rm 251, 1700 E. Cold Spring Lane
Baltimore, MD 21251
Phone: (443) 885-3964
Fax: (443) 885-8216
Email: asamoah.nkwanta@morgan.edu
Contact Us
Chairperson:
Dr. Asamoah Nkwanta
asamoah.nkwanta@morgan.edu
Graduate Program Coordinator:
Dr. Xuming Xie
xuming.xie@morgan.edu
Administrative Assistant:
Avreis Wallace
avreis.wallace@morgan.edu
Carnegie Rm 251, 1700 E. Cold Spring Lane
Baltimore, MD 21251
Phone: (443) 885-3964
Fax: (443) 885-8216
Email: asamoah.nkwanta@morgan.edu