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Mathematics



Guoping Zhang

Associate Professor, Mathematics

Office: Carnegie 256
Phone: 443-885-4338
guoping.zhang@morgan.eduu

Education:

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:

    1. 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
    2. 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
    3. Initial value problem of the discrete nonlinear Schrödinger equation with complex potential, Applicable Analysis, DOI: 10.1080/00036811.2021.1906415, with A. Pankov (2021)
    4. 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