| Publication | Date of Publication | Type |
|---|
| Openness of regular regimes of complex random matrix models | 2024-04-05 | Paper |
| Soliton condensates for the focusing Nonlinear Schrodinger Equation: a non-bound state case | 2023-12-26 | Paper |
| Dispersive hydrodynamics of soliton condensates for the Korteweg-de Vries equation | 2023-10-19 | Paper |
| Non-standard green energy problems in the complex plane | 2023-10-17 | Paper |
| Inversion formula and range conditions for a linear system related with the multi‐interval finite Hilbert transform in L2 | 2023-10-09 | Paper |
| Elliptic finite-band potentials of a non-self-adjoint Dirac operator | 2023-07-25 | Paper |
| On the spectrum of the periodic focusing Zakharov-Shabat operator | 2023-05-23 | Paper |
| Recent developments in spectral theory of the focusing NLS soliton and breather gases: the thermodynamic limit of average densities, fluxes and certain meromorphic differentials; periodic gases | 2023-02-07 | Paper |
| Singular limits of certain Hilbert-Schmidt integral operators | 2022-10-18 | Paper |
| On the spectral properties of the Hilbert transform operator on multi-intervals | 2022-10-07 | Paper |
| On minimal energy solutions to certain classes of integral equations related to soliton gases for integrable systems* | 2021-09-17 | Paper |
| Diagonalization of the finite Hilbert transform on two adjacent intervals: the Riemann-Hilbert approach | 2020-06-18 | Paper |
| Spectral analysis and decomposition of normal operators related with the multi-interval finite Hilbert transform | 2019-11-04 | Paper |
| Semiclassical limit of the focusing NLS: Whitham equations and the Riemann-Hilbert problem approach | 2019-06-28 | Paper |
| Maximal amplitudes of finite-gap solutions for the focusing nonlinear Schrödinger equation | 2017-10-06 | Paper |
| Rogue waves in multiphase solutions of the focusing nonlinear Schrödinger equation | 2017-09-29 | Paper |
| On asymptotic regimes of orthogonal polynomials with complex varying quartic exponential weight | 2017-01-27 | Paper |
| Diagonalization of the finite Hilbert transform on two adjacent intervals | 2017-01-10 | Paper |
| Dam break problem for the focusing nonlinear Schrödinger equation and the generation of rogue waves | 2016-09-26 | Paper |
| Singular Value Decomposition of a Finite Hilbert Transform Defined on Several Intervals and the Interior Problem of Tomography: The Riemann-Hilbert Problem Approach | 2016-03-08 | Paper |
| On Sobolev instability of the interior problem of tomography | 2016-03-04 | Paper |
| The supercritical regime in the normal matrix model with cubic potential | 2015-08-17 | Paper |
| Asymptotics of orthogonal polynomials with complex varying quartic weight: global structure, critical point behavior and the first Painlevé equation | 2015-06-26 | Paper |
| Meromorphic differentials with imaginary periods on degenerating hyperelliptic curves | 2015-03-10 | Paper |
| Inversion formulae for the $\mathrm {\cosh }$-weighted Hilbert transform | 2013-07-05 | Paper |
| Universality for the Focusing Nonlinear Schrödinger Equation at the Gradient Catastrophe Point: Rational Breathers and Poles of the Tritronquée Solution to Painlevé I | 2013-04-19 | Paper |
| Finite Hilbert transform with incomplete data: null-space and singular values | 2012-12-06 | Paper |
| Semiclassical Limit of the Scattering Transform for the Focusing Nonlinear Schrodinger Equation | 2012-06-08 | Paper |
| Nonlinear steepest descent asymptotics for semiclassical limit of integrable systems: Continuation in the parameter space | 2010-07-02 | Paper |
| Universality in the Profile of the Semiclassical Limit Solutions to the Focusing Nonlinear Schrodinger Equation at the First Breaking Curve | 2010-06-17 | Paper |
| Breaking of Symmetrical Periodic Solutions in a Singularly Perturbed KDV Model | 2009-07-22 | Paper |
| Determinant Form of the Complex Phase Function of the Steepest Descent Analysis of Riemann-Hilbert Problems and Its Application to the Focusing Nonlinear Schrodinger Equation | 2009-07-02 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3517525 | 2008-08-12 | Paper |
| Determinant form of modulation equations for the semiclassical focusing Nonlinear Schr\" odinger equation | 2008-03-13 | Paper |
| Semiclassical Focusing Nonlinear Schrodinger Equation I: Inverse scattering map and its evolution for radiative initial data | 2008-01-30 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5432015 | 2008-01-02 | Paper |
| On the long-time limit of semiclassical (zero dispersion limit) solutions of the focusing nonlinear Schrödinger equation: Pure radiation case | 2007-02-07 | Paper |
| Exact conditions for existence of homoclinic orbits in the fifth-order KdV model | 2007-01-29 | Paper |
| On formal solutions to matrix version of a reduced Kac--van Moerbeke equation | 2004-08-06 | Paper |
| On semiclassical (zero dispersion limit) solutions of the focusing nonlinear Schrödinger equation | 2004-08-06 | Paper |
| Polynomial growth solutions of Sturm-Liouville equations on a half-line and their zero distribution | 2004-03-15 | Paper |
| Breaking Homoclinic Connections for a Singularly Perturbed Differential Equation and the Stokes Phenomenon | 2002-12-11 | Paper |
| Meromorphic solutions to a differential-difference equation describing certain self-similar potentials | 2002-10-21 | Paper |
| On formal solutions of linear matrix differential-difference equations | 2002-05-15 | Paper |
| The eigenvalue problem for the focusing nonlinear Schrödinger equation: New solvable cases | 2002-04-28 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4514168 | 2001-12-09 | Paper |
| Normal forms of ``near similarity transformations and linear matrix equations | 2001-08-28 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4511849 | 2001-04-10 | Paper |
| Exponential asymptotic expansions and approximations of the unstable and stable manifolds of singularly perturbed systems with the Hénon map as an example | 2000-11-12 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4247772 | 1999-08-25 | Paper |
| Continuum limit of lattice approximation schemes | 1998-12-09 | Paper |
| Solutions of Finitely Smooth Nonlinear Singular Differential Equations and Problems of Diagonalization and Triangularization | 1998-05-11 | Paper |
| Homoclinic connections and numerical integration | 1997-10-26 | Paper |
