
The University of Arizona
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Vladimir E. Zakharov is Professor Emeritus in the Department of Mathematics at The University of Arizona. He earned his Ph.D. from Novosibirsk State University in 1966. In 1992, he joined the University of Arizona as a professor in Mathematics, contributing significantly to the Program in Applied Mathematics. His research specializes in the mathematical and physical aspects of nonlinear wave theory, encompassing Hamiltonian structures, soliton dynamics, weak turbulence, and ocean wave phenomena. Zakharov developed key methods for integrating nonlinear equations using the inverse scattering transform, advanced the Hamiltonian approach to nonlinear plasma phenomena, and established theories of soliton stability in plasmas and hydrodynamics. He formulated weak turbulence theories for capillary waves, wind waves, and Langmuir waves, derived kinetic equations for point vortices, drift turbulence, and wind waves, and conducted numerical simulations of wave collapses, Langmuir collapse, and magnetosphere-ionosphere coupling.
Zakharov's scholarly contributions include numerous influential publications, such as 'Weak-turbulent theory of wind-driven sea' (Earth and Space Science, 2019), 'Bound state soliton gas dynamics underlying the spontaneous modulational instability' (Physical Review Letters, 2019), 'Breather wave molecules' (Physical Review Letters, 2019), 'Super compact equation for water waves' (Journal of Fluid Mechanics, 2017), 'Theory of Solitons: The Inverse Scattering Method' (1984), and 'Kolmogorov Spectra of Turbulence I: Wave Turbulence' (1992). He received prestigious honors including Fellow of the American Mathematical Society (2012) and Fellow of the Optical Society of America (2012). At the University of Arizona, he taught advanced courses including Applied Partial Differential Equations (MATH 456/556), Topics in Mathematical Physics (MATH 488/588), and supervised dissertations and independent studies up to 2022. His work has profoundly shaped the understanding of nonlinear wave processes in mathematics and physics.