Atanas Stefanov

Atanas Stefanov

University of Kansas

H-index: 24

North America-United States

About Atanas Stefanov

Atanas Stefanov, With an exceptional h-index of 24 and a recent h-index of 14 (since 2020), a distinguished researcher at University of Kansas, specializes in the field of Partial Differential equations, Mathematical physics.

His recent articles reflect a diverse array of research interests and contributions to the field:

Growth bound and nonlinear smoothing for the periodic derivative nonlinear Schrödinger equation

On the stability of solitary waves in the NLS system of the third-harmonic generation

On the solitary waves for anisotropic nonlinear Schrödinger models on the plane

Spectral stability of periodic waves for the Zakharov system

Ground states in spatially discrete non-linear Schrödinger models

A maximisation technique for solitary waves: The case of the nonlocally dispersive Whitham equation

On the Long Time Dynamics of the Landau-De Gennes Gradient Flow

On the stability of the dnoidal waves for the Schr\" odinger-KdV system

Atanas Stefanov Information

University

Position

Professor of Mathematics

Citations(all)

1884

Citations(since 2020)

704

Cited By

1523

hIndex(all)

24

hIndex(since 2020)

14

i10Index(all)

47

i10Index(since 2020)

28

Email

University Profile Page

University of Kansas

Google Scholar

View Google Scholar Profile

Atanas Stefanov Skills & Research Interests

Partial Differential equations

Mathematical physics

Top articles of Atanas Stefanov

Title

Journal

Author(s)

Publication Date

Growth bound and nonlinear smoothing for the periodic derivative nonlinear Schrödinger equation

Mathematische Annalen

Bradley Isom

Dionyssios Mantzavinos

Atanas Stefanov

2024/3

On the stability of solitary waves in the NLS system of the third-harmonic generation

Analysis and Mathematical Physics

Abba Ramadan

Atanas G Stefanov

2024/2

On the solitary waves for anisotropic nonlinear Schrödinger models on the plane

European Journal of Mathematics

Tianxiang Gou

Hichem Hajaiej

Atanas G Stefanov

2023/9

Spectral stability of periodic waves for the Zakharov system

Journal of Mathematical Physics

Sevdzhan Hakkaev

Milena Stanislavova

Atanas G Stefanov

2023/8/1

Ground states in spatially discrete non-linear Schrödinger models

Nonlinearity

Atanas G Stefanov

Ryan M Ross

Panayotis G Kevrekidis

2023/6/19

A maximisation technique for solitary waves: The case of the nonlocally dispersive Whitham equation

arXiv preprint arXiv:2303.14036

Mathias Nikolai Arnesen

Mats Ehrnstrom

Atanas G Stefanov

2023/3/24

On the Long Time Dynamics of the Landau-De Gennes Gradient Flow

Journal of Statistical Physics

Milena Stanislavova

Atanas G Stefanov

2023/1

On the stability of the dnoidal waves for the Schr\" odinger-KdV system

arXiv preprint arXiv:2310.05888

Sevdzhan Hakkaev

Atanas G Stefanov

2023/10/9

On the instability of the Ruf–Sani solitons for the NLS with exponential nonlinearity

Applied Mathematics Letters

Hichem Hajaiej

Atanas G Stefanov

2022/8/1

Mixed dispersion nonlinear Schrödinger equation in higher dimensions: theoretical analysis and numerical computations

Journal of Physics A: Mathematical and Theoretical

Atanas Stefanov

Georgios A Tsolias

Jesús Cuevas-Maraver

Panayotis G Kevrekidis

2022/6/7

On the stability of the periodic waves for the Benney system

SIAM Journal on Applied Dynamical Systems

Sevdzhan Hakkaev

Milena Stanislavova

Atanas Stefanov

2022

On the stability of periodic waves for the cubic derivative NLS and the quintic NLS

Journal of Nonlinear Science

Sevdzhan Hakkaev

Milena Stanislavova

Atanas Stefanov

2021/6

Ground States in Spatially Discrete Nonlinear Schr\" odinger Lattices

arXiv preprint arXiv:2111.00118

Atanas G Stefanov

Ryan M Ross

Panayotis G Kevrekidis

2021/10/29

Ground states for the nonlinear Schrödinger equation under a general trapping potential

Journal of Evolution Equations

Milena Stanislavova

Atanas G Stefanov

2021/3

On the stability of the compacton waves for the degenerate KdV and NLS models

arXiv preprint arXiv:2110.03030

Sevdzhan Hakkaev

Abba Ramadan

Atanas G Stefanov

2021/10/6

On the forced surface quasi-geostrophic equation: existence of steady states and sharp relaxation rates

Journal of Mathematical Fluid Mechanics

Fazel Hadadifard

Atanas G Stefanov

2021/2

Polynomial bound and nonlinear smoothing for the Benjamin-Ono equation on the circle

Journal of Differential Equations

Bradley Isom

Dionyssios Mantzavinos

Seungly Oh

Atanas Stefanov

2021/10/5

On the standing waves of the Schrödinger equation with concentrated nonlinearity

Analysis and Mathematical Physics

Abba Ramadan

Atanas G Stefanov

2021/9

Smoothing and growth bound of periodic generalized Korteweg–De Vries equation

Journal of Hyperbolic Differential Equations

Seungly Oh

Atanas G Stefanov

2021/12/9

Stability of periodic waves for the fractional KdV and NLS equations

Proceedings of the Royal Society of Edinburgh Section A: Mathematics

Sevdzhan Hakkaev

Atanas G Stefanov

2021/8

See List of Professors in Atanas Stefanov University(University of Kansas)

Co-Authors

H-index: 82
Panayotis Kevrekidis

Panayotis Kevrekidis

University of Massachusetts Amherst

H-index: 60
Dimitri Frantzeskakis

Dimitri Frantzeskakis

National and Kapodistrian University of Athens

H-index: 44
Bixiang Wang

Bixiang Wang

New Mexico Institute of Mining and Technology

H-index: 40
Loukas Grafakos

Loukas Grafakos

University of Missouri

H-index: 10
Aslihan Demirkaya

Aslihan Demirkaya

University of Hartford

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