Yan Rybalko

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All published works

Action	Title	Year	Authors
+ PDF Chat	The integrable nonlocal nonlinear Schr\"odinger equation with oscillatory boundary conditions: long-time asymptotics	2025	Yan Rybalko Dmitry Shepelsky Shou‐Fu Tian
+ PDF Chat	Global semigroup of conservative weak solutions of the two-component Novikov equation	2025	Kenneth H. Karlsen Yan Rybalko
+ PDF Chat	On the well-posedness of the Cauchy problem for the two-component peakon system in $$C^k\cap W^{k,1}$$	2024	Kenneth H. Karlsen Yan Rybalko
+	On the well-posedness of a nonlocal (two-place) FORQ equation via a two-component peakon system	2023	Kenneth H. Karlsen Yan Rybalko
+	On the well-posedness of a nonlocal (two-place) FORQ equation via a two-component peakon system	2023	Kenneth H. Karlsen Yan Rybalko
+	Hölder continuity of functions in the fractional Sobolev spaces: 1-dimensional case	2023	Yan Rybalko
+ PDF Chat	Global conservative solutions of the nonlocal NLS equation beyond blow-up	2022	Yan Rybalko Dmitry Shepelsky
+	Focusing nonlocal nonlinear Schrödinger equation with asymmetric boundary conditions: large-time behavior	2022	Anne Boutet de Monvel Yan Rybalko Dmitry Shepelsky
+	Global conservative solutions of the nonlocal NLS equation beyond blow-up	2022	Yan Rybalko Dmitry Shepelsky
+ PDF Chat	Focusing Nonlocal Nonlinear Schrödinger Equation with Asymmetric Boundary Conditions: Large-Time Behavior	2022	Anne Boutet de Monvel Yan Rybalko Dmitry Shepelsky
+ PDF Chat	Asymptotic stage of modulation instability for the nonlocal nonlinear Schrödinger equation	2021	Yan Rybalko Dmitry Shepelsky
+ PDF Chat	Asymptotic stage of modulation instability for the nonlocal nonlinear Schr\"odinger equation	2021	Yan Rybalko Dmitry Shepelsky
+ PDF Chat	Curved wedges in the long‐time asymptotics for the integrable nonlocal nonlinear Schrödinger equation	2021	Yan Rybalko Dmitry Shepelsky
+ PDF Chat	Long-Time Asymptotics for the Integrable Nonlocal Focusing Nonlinear Schrödinger Equation for a Family of Step-Like Initial Data	2021	Yan Rybalko Dmitry Shepelsky
+	Asymptotic stage of modulation instability for the nonlocal nonlinear Schrödinger equation	2021	Yan Rybalko Dmitry Shepelsky
+ PDF Chat	Defocusing Nonlocal Nonlinear Schrödinger Equation with Step-like Boundary Conditions: Long-time Behavior for Shifted Initial Data	2020	Yan Rybalko Dmitry Shepelsky
+	Long-time asymptotics for the nonlocal nonlinear Schrödinger equation with step-like initial data	2020	Yan Rybalko Dmitry Shepelsky
+	Long-time asymptotics for the integrable nonlocal focusing nonlinear Schr\"odinger equation for a family of step-like initial data	2019	Yan Rybalko Dmitry Shepelsky
+ PDF Chat	Long-time asymptotics for the integrable nonlocal nonlinear Schrödinger equation	2019	Yan Rybalko Dmitry Shepelsky
+	Riemann-Hilbert approach for the integrable nonlocal nonlinear Schr\"odinger equation with step-like initial data	2018	Yan Rybalko Dmitry Shepelsky
+	Initial value problem for the time-dependent linear Schrödinger equation with a point singular potential by the unified transform method	2018	Yan Rybalko

Common Coauthors

Coauthor	Papers Together
Dmitry Shepelsky	15
Kenneth H. Karlsen	4
Anne Boutet de Monvel	2
Shou‐Fu Tian	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Long-Time Asymptotics for Integrable Nonlinear Wave Equations	1993	Percy Deift A. R. Its Xin Zhou	9
+ PDF Chat	A Steepest Descent Method for Oscillatory Riemann--Hilbert Problems. Asymptotics for the MKdV Equation	1993	Percy Deift Xin Zhou	9
+ PDF Chat	Real Spectra in Non-Hermitian Hamiltonians Having<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="bold-script">P</mml:mi><mml:mi mathvariant="bold-script">T</mml:mi></mml:math>Symmetry	1998	Carl M. Bender Stefan Boettcher	9
+ PDF Chat	Nonlinear waves in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi mathvariant="script">PT</mml:mi></mml:mrow></mml:math>-symmetric systems	2016	V. V. Konotop Jianke Yang Dmitry A. Zezyulin	7
+	Long-time asymptotics for the nonlocal nonlinear Schrödinger equation with step-like initial data	2020	Yan Rybalko Dmitry Shepelsky	7
+ PDF Chat	The nonlinear steepest descent method for Riemann-Hilbert problems of low regularity	2017	Jonatan Lenells	7
+	The collisionless shock region for the long‐time behavior of solutions of the KdV equation	1994	Percy Deift Stephanos Venakides Xin Zhou	7
+	None	1997	Percy Deift Stephanos Venakides Xiaowen Zhou	7
+ PDF Chat	Integrable Nonlocal Nonlinear Equations	2016	Mark J. Ablowitz Ziad H. Musslimani	6
+ PDF Chat	Long-time asymptotics for the integrable nonlocal nonlinear Schrödinger equation	2019	Yan Rybalko Dmitry Shepelsky	6
+ PDF Chat	Continuous and discrete Schrödinger systems with parity-time-symmetric nonlinearities	2014	Amarendra K. Sarma Mohammad‐Ali Miri Ziad H. Musslimani Demetrios N. Christodoulides	6
+ PDF Chat	Rogue waves in the nonlocal $${\mathcal {PT}}$$ PT -symmetric nonlinear Schrödinger equation	2018	Bo Yang Jianke Yang	5
+ PDF Chat	General soliton solution to a nonlocal nonlinear Schrödinger equation with zero and nonzero boundary conditions	2018	Bao‐Feng Feng Xu‐Dan Luo Mark J. Ablowitz Ziad H. Musslimani	5
+ PDF Chat	Inverse scattering transform for the nonlocal nonlinear Schrödinger equation with nonzero boundary conditions	2018	Mark J. Ablowitz Xu‐Dan Luo Ziad H. Musslimani	5
+ PDF Chat	GBDT and algebro-geometric approaches to explicit solutions and wave functions for nonlocal NLS	2018	Johanna Michor Alexander Sakhnovich	5
+ PDF Chat	Alice-Bob systems, P^-T^-Ĉ symmetry invariant and symmetry breaking soliton solutions	2018	Sen‐Yue Lou	5
+	Inverse scattering transform for the focusing nonlinear Schrödinger equation with nonzero boundary conditions	2014	Gino Biondini Gregor Kovačič	5
+ PDF Chat	Long‐Time Asymptotics for the Focusing Nonlinear Schrödinger Equation with Nonzero Boundary Conditions at Infinity and Asymptotic Stage of Modulational Instability	2017	Gino Biondini Dionyssios Mantzavinos	5
+ PDF Chat	Long‐time asymptotics of the nonlinear Schrödinger equation shock problem	2007	Robert Buckingham Stephanos Venakides	5
+	Focusing NLS Equation: Long-Time Dynamics of Step-Like Initial Data	2010	Anne Boutet de Monvel Vladimir Kotlyarov Dmitry Shepelsky	5
+ PDF Chat	Long-Time Asymptotics for the Nonlocal MKdV Equation*	2019	Feng-Jing He Engui Fan Xu Jian	4
+	Local and nonlocal solitons in a coupled real system of Landau–Lifshitz equations	2021	Matthew Russo	4
+	Solitons of the nonlinear Schr�dinger equation generated by the continuum	1986	Vladimir Kotlyarov E. Ya. Khruslov	4
+ PDF Chat	Alice-Bob Physics: Coherent Solutions of Nonlocal KdV Systems	2017	Sen‐Yue Lou Fei Huang	4
+ PDF Chat	The Steepest Descent Method for Orthogonal Polynomials on the Real Line with Varying Weights	2008	K. T-R McLaughlin Peter D. Miller	4
+ PDF Chat	Nonlocal nonlinear Schrödinger equations and their soliton solutions	2018	Metin Gürses Aslı Pekcan	4
+ PDF Chat	Regularization of a sharp shock by the defocusing nonlinear Schrödinger equation	2015	R. M. Jenkins	4
+	The Riemann–Hilbert Problem and Inverse Scattering	1989	Xin Zhou	4
+	Painleve Transcendents: The Riemann-hilbert Approach	2006	S Athanassios Fokas	4
+	The Formula steepest descent method and the asymptotic behavior of polynomials orthogonal on the unit circle with fixed and exponentially varying nonanalytic weights	2006	K. T-R McLaughlin Peter D. Miller	4
+ PDF Chat	Long-Time Asymptotics for the Integrable Nonlocal Focusing Nonlinear Schrödinger Equation for a Family of Step-Like Initial Data	2021	Yan Rybalko Dmitry Shepelsky	3
+ PDF Chat	Riemann–Hilbert problem to the modified Korteveg–de Vries equation: Long-time dynamics of the steplike initial data	2010	Vladimir Kotlyarov Alexander Minakov	3
+ PDF Chat	Global Conservative Solutions of the Camassa–Holm Equation	2006	Alberto Bressan Adrian Constantin	3
+ PDF Chat	Long-time asymptotics for the Korteweg–de Vries equation with step-like initial data	2013	Iryna Egorova Zoya Gladka Vladimir Kotlyarov Gerald Teschl	3
+ PDF Chat	General N-solitons and their dynamics in several nonlocal nonlinear Schrödinger equations	2018	Jianke Yang	3
+	L2-Sobolev space bijectivity of the scattering and inverse scattering transforms	1998	Xin Zhou	3
+	ASYMPTOTICS OF THE SOLUTION OF THE CAUCHY PROBLEM FOR THE KORTEWEG-de VRIES EQUATION WITH INITIAL DATA OF STEP TYPE	1976	E J Hruslov	3
+ PDF Chat	Complete integrability of nonlocal nonlinear Schrödinger equation	2017	Vladimir S. Gerdjikov Avadh Saxena	3
+ PDF Chat	Integrable nonlocal asymptotic reductions of physically significant nonlinear equations	2019	Mark J. Ablowitz Ziad H. Musslimani	3
+ PDF Chat	A new integrable two-component system with cubic nonlinearity	2011	Junfeng Song Changzheng Qu Zhijun Qiao	2
+ PDF Chat	Two patterns of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="mml10" display="inline" overflow="scroll" altimg="si10.gif"><mml:mi mathvariant="script">PT</mml:mi></mml:math>-symmetry breakdown in a non-numerical six-state simulation	2018	Miloslav Znojil D. I. Borisov	2
+ PDF Chat	Instability of an integrable nonlocal NLS	2017	François Genoud	2
+	The algebro-geometric solutions for the Fokas–Olver–Rosenau–Qiao (FORQ) hierarchy	2017	Yu Hou Engui Fan Zhijun Qiao	2
+ PDF Chat	Nonlinear Evolution of the Locally Induced Modulational Instability in Fiber Optics	2019	Adrien E. Kraych Pierre Suret G. A. Él Stéphane Randoux	2
+ PDF Chat	Inverse scattering transform for the defocusing nonlinear Schrödinger equation with fully asymmetric non-zero boundary conditions	2016	Gino Biondini Emily Fagerstrom B. Prinari	2
+	Direct and inverse scattering transforms with arbitrary spectral singularities	1989	Xin Zhou	2
+ PDF Chat	Initial boundary value problem for the mKdV equation on a finite interval	2004	Anne Boutet de Monvel Dmitry Shepelsky	2
+	On the Cauchy problem for the integrable modified Camassa–Holm equation with cubic nonlinearity	2013	Ying Fu Guilong Gui Yue Liu Changzheng Qu	2
+	Rarefaction waves of the Korteweg–de Vries equation via nonlinear steepest descent	2016	K.M. Andreiev Iryna Egorova Till Luc Lange Gerald Teschl	2
+ PDF Chat	Universal Nature of the Nonlinear Stage of Modulational Instability	2016	Gino Biondini Dionyssios Mantzavinos	2