AS
Atanas G. Stefanov
math.APnlin.PSmath.MPmath-phmath.SPmath.CAmath.FAcond-mat.supr-conmath.ATmath.DS
On Valency
published · living versionsW_7ve6xaj3·v1 · currentpublished
Preprints & journals
59 papers in the corpus · 1997–2026Asymptotic stability for monotone traveling kinks of the dissipative Boussinesq problem2606.27690v1 · Atanas G. Stefanov2026 · 0 citationsarXiv
Existence and stability for traveling waves of fourth order semilinear wave and Schrodinger equations2512.12390v1 · Vishnu Iyer, Ross Parker, Atanas G. Stefanov2025 · 0 citationsarXiv
On a Klein-Gordon Reduction for Oscillons2508.12142v1 · A.G. Stefanov, M. Stanislavova, J. Cuevas-Maraver et al.2025 · 0 citationsarXiv
Asymptotic attraction with algebraic rates toward fronts of dispersive-diffusive Burgers equations2504.17745v1 · Milena Stanislavova, Atanas G. Stefanov2025 · 0 citationsarXiv
Kinks of fractional models: existence, uniqueness, monotonicity, stability, and sharp asymptotics2503.15806v1 · Atanas G. Stefanov, P.G. Kevrekidis2025 · 0 citationsarXiv
Dynamics of the Drinfeld-Sokolov-Wilson system: well-posedness and (in)stability of the traveling waves2502.14723v1 · Ognyan Christov, Sevdzhan Hakkaev, Seungly Oh et al.2025 · 3 citationsarXiv
Solitary waves for the power degenerate NLS -- existence and stability2410.15138v1 · Vishnu Iyer, Atanas G. Stefanov2024 · 1 citationarXiv
Existence and stability for the travelling waves of the Benjamin equation2408.16715v1 · Sevdzhan Hakkaev, Milena Stanislavova, Atanas G. Stefanov2024 · 1 citationarXiv
On the stability of the dnoidal waves for the Schrödinger-KdV system2310.05888v1 · Sevdzhan Hakkaev, Atanas G. Stefanov2023 · 0 citationsarXiv
On the stability of solitary waves in the NLS system of the third-harmonic generation2304.01867v1 · Abba Ramadan, Atanas G. Stefanov2023 · 2 citationsarXiv
A maximisation technique for solitary waves: the case of the nonlocally dispersive Whitham equation2303.14036v1 · Mathias Nikolai Arnesen, Mats Ehrnstrom, Atanas G. Stefanov2023 · 2 citationsarXiv
Spectral stability of periodic waves for the Zakharov system2303.12778v2 · Sevdzhan Hakkaev, Milena Stanislavova, Atanas G. Stefanov2023 · 0 citationsarXiv
On the solitary waves for anisotropic nonlinear Schrödinger models on the plane2303.03312v1 · Tianxiang Gou, Hichem Hajaiej, Atanas G. Stefanov2023 · 7 citationsarXiv
On the stability of the periodic waves for the Benney system2204.01628v1 · Sevdzhan Hakkaev, Milena Stanislavova, Atanas G. Stefanov2022 · 4 citationsarXiv
Mixed dispersion nonlinear Schrödinger equation in higher dimensions: theoretical analysis and numerical computations2203.06415v2 · A. Stefanov, G.A. Tsolias, J. Cuevas-Maraver et al.2022 · 4 citationsarXiv
Ground States in Spatially Discrete Nonlinear Schrödinger Lattices2111.00118v1 · Atanas G. Stefanov, Ryan M. Ross, Panayotis G. Kevrekidis2021 · 0 citationsarXiv
On the instability of the Ruf-Sani solitons for the NLS with exponential nonlinearity2110.02451v1 · Hichem Hajaiej, Atanas G. Stefanov2021 · 0 citationsarXiv
On the stability of the compacton waves for the degenerate KdV and NLS models2110.03030v1 · Sevdzhan Hakkaev, Abba Ramadan, Atanas G. Stefanov2021 · 0 citationsarXiv
Growth Bound and Nonlinear Smoothing for the Periodic Derivative Nonlinear Schrödinger Equation2012.09933v1 · Bradley Isom, Dionyssios Mantzavinos, Atanas Stefanov2020 · 4 citationsarXiv
On the standing waves of the Schroedinger equation with concentrated nonlinearity2009.07214v1 · Abba Ramadan, Atanas G. Stefanov2020 · 0 citationsarXiv
On the forced surface quasi-geostrophic equation: Existence of steady states and sharp relaxation rates2008.09868v1 · Fazel Hadadifard, Atanas G. Stefanov2020 · 2 citationsarXiv
On the stability of periodic waves for the cubic derivative NLS and the quintic NLS2006.13658v2 · Sevdzhan Hakkaev, Milena Stanislavova, Atanas Stefanov2020 · 5 citationsarXiv
On the Barashenkov-Bogdan-Zhanlav solitons and their stability2004.10866v2 · Wen Feng, Milena Stanislavova, Atanas G. Stefanov2020 · 3 citationsarXiv
Ground states for the nonlinear Schrödinger equation under a general trapping potential2002.03822v1 · Milena Stanislavova, Atanas Stefanov2020 · 7 citationsarXiv
Smoothing and growth bound of periodic generalized Korteweg-de Vries equation2001.08984v1 · Seungly Oh, Atanas G. Stefanov2020 · 5 citationsarXiv
Polynomial Bound and Nonlinear Smoothing for the Benjamin-Ono Equation on the Circle2001.06896v1 · Bradley Isom, Dionyssios Mantzavinos, Seungly Oh et al.2020 · 8 citationsarXiv
Stability of periodic waves for the fractional KdV and NLS equations1907.05149v2 · Sevdzhan Hakkaev, Atanas G. Stefanov2019 · 8 citationsProceedings of the Royal Society of Edinburgh: Section A Mathematics 151 (2021) 1171-1203
On the ground states of the Ostrovskyi equation and their stabilit1810.04224v2 · Iurii Posukhovskyi, Atanas G. Stefanov2018 · 0 citationsarXiv
On the sharp time decay rates for the 2D generalized quasi-geostrophic equation and the Boussinesq system1806.10516v1 · Atanas G. Stefanov, Fazel Hadadifard2018 · 10 citationsarXiv
On the generation of stable Kerr frequency combs in the Lugiato-Lefever model of periodic optical waveguides1806.04821v1 · Sevdzhan Hakkaev, Milena Stanislavova, Atanas Stefanov2018 · 16 citationsarXiv
Small amplitude traveling waves in the full-dispersion Whitham equation1802.10040v1 · Atanas Stefanov, J. Douglas Wright2018 · 25 citationsarXiv
On the normalized ground states for the Kawahara equation and a fourth order NLS1711.00367v3 · Iurii Posukhovskyi, Atanas Stefanov2017 · 22 citationsarXiv
On the classification of the spectrally stable standing waves of the Hartree problem1702.03374v1 · Vladimir Georgiev, Atanas Stefanov2017 · 11 citationsarXiv
On the global regularity of the 2D critical Boussinesq system with 1610.05125v1 · Fazel Hadadifard, Atanas Stefanov2016 · 0 citationsarXiv
Spectral stability for classical periodic waves of the Ostrovsky and short pulse models1604.03024v1 · Sevdzhan Hakkaev, Milena Stanislavova, Atanas Stefanov2016 · 21 citationsarXiv
Traveling waves for the Mass in Mass model of granular chains1502.01995v1 · Panayotis G. Kevrekidis, Atanas G. Stefanov, Haitao Xu2015 · 26 citationsarXiv
Traveling Waves and their Tails in Locally Resonant Granular Systems1412.5462v1 · H. Xu, P.G. Kevrekidis, A. Stefanov2014 · 36 citationsarXiv
A global regularity result for the 2D Boussinesq equations with critical dissipation1411.1362v3 · Atanas Stefanov, Jiahong Wu2014 · 53 citationsarXiv
Spectral stability analysis for standing waves of a perturbed Klein-Gordon equation1409.7095v1 · Aslihan Demirkaya, Panayotis G. Kevrekidis, Milena Stanislavova et al.2014 · 1 citationarXiv
Asymptotic stability of solitary waves in generalized Gross--Neveu model1407.0606v2 · Andrew Comech, Tuoc Van Phan, Atanas Stefanov2014 · 20 citationsarXiv
Local well-posedness for the periodic mKdV in 1402.6198v2 · Atanas Stefanov2014 · 0 citationsarXiv
Effects of parity-time symmetry in nonlinear Klein-Gordon models and their stationary kinks.24032958 · Demirkaya, A, Frantzeskakis, D J, Kevrekidis, P G et al.2014 · 17 citationsPhysical review. E, Statistical, nonlinear, and soft matter physics. 2013;88(2):023203
A Hamiltonian-Krein (instability) index theory for KdV-like eigenvalue problems1210.6005v1 · Todd Kapitula, Atanas Stefanov2012 · 15 citationsarXiv
Spectral stability for subsonic traveling pulses of the Boussinesq `abc' system1209.3666v1 · Sevdzhan Hakkaev, Milena Stanislavova, Atanas Stefanov2012 · 7 citationsarXiv
Linear stability analysis for periodic traveling waves of the Boussinesq equation and the KGZ system1202.2133v1 · Sevdzhan Hakkaev, Milena Stanislavova, Atanas Stefanov2012 · 4 citationsarXiv
Improved local well-posedness for the periodic "good" Boussinesq equation1201.1942v1 · Seungly Oh, Atanas Stefanov2012 · 38 citationsarXiv
Linear stability analysis for traveling waves of second order in time PDE's1108.2417v2 · Milena Stanislavova, Atanas Stefanov2011 · 32 citationsarXiv
Local well-posedness for quadratic Schrödinger equations in : a normal form approach1105.1713v1 · Seungly Oh, Atanas Stefanov2011 · 2 citationsarXiv
Transverse instability for periodic waves of KP-I and Schrödinger equations1012.3065v1 · Sevdzhan Hakkaev, Milena Stanislavova, Atanas Stefanov2010 · 7 citationsarXiv
Asymptotic stability of small gap solitons in the nonlinear Dirac equations1008.4514v1 · Dmitry E. Pelinovsky, Atanas Stefanov2010 · 9 citationsarXiv
Career total: 126 works. 59 are in this corpus.Showing the 50 most recent.
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