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Modern Physics Letters B, ISSN 0217-9849, 10/2017, Volume 31, Issue 29, p. 1750269
Journal Article
Nonlinear Dynamics, ISSN 0924-090X, 9/2017, Volume 89, Issue 4, pp. 2723 - 2728
Journal Article
Forum Mathematicum, ISSN 0933-7741, 01/2020, Volume 32, Issue 1, pp. 151 - 187
Journal Article
Physica D: Nonlinear Phenomena, ISSN 0167-2789, 10/2016, Volume 333, pp. 185 - 199
Using exact formulae for the scattering data of the Benjamin–Ono equation valid for general rational potentials recently obtained in Miller and Wetzel [17... 
Benjamin–Ono equation | Inverse-scattering transform | Small-dispersion limit | KORTEWEG-DEVRIES EQUATION | FLUIDS | UNIVERSALITY | MATHEMATICS, APPLIED | Benjamin-Ono equation | PHYSICS, MULTIDISCIPLINARY | INTERNAL WAVES | PHYSICS, MATHEMATICAL | MODULATION
Journal Article
Wave Motion, ISSN 0165-2125, 04/2020, Volume 94, p. 102502
Dispersive shock waves (DSWs) in the three dimensional Benjamin–Ono (3DBO) equation are studied with step-like initial condition along a paraboloid front... 
Dispersive shock waves | Three dimensional Benjamin–Ono equation | Whitham modulation theory | FLUIDS | ACOUSTICS | MECHANICS | PHYSICS, MULTIDISCIPLINARY | INTERNAL WAVES | Three dimensional Benjamin-Ono equation | LIMIT | MODULATION
Journal Article
SIAM journal on mathematical analysis, ISSN 1095-7154, 2019, Volume 51, Issue 4, pp. 3298 - 3323
We consider the fractional Korteweg-de Vries equation u(t) +uu(x) - vertical bar D vertical bar(alpha)u(x... 
LIFE-SPAN | MATHEMATICS, APPLIED | WELL-POSEDNESS | dispersive equations | enhanced life span | WATER-WAVES | BENJAMIN-ONO-EQUATION | DISPERSIVE PERTURBATIONS | BURGERS | REGULARITY | fKdV | NORMAL FORMS | BLOW-UP | Mathematics - Analysis of PDEs
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 01/2016, Volume 433, Issue 1, pp. 149 - 175
In this work we consider the initial value problem (IVP) associated to the two dimensional Zakharov–Kuznetsov... 
Local well-posedness | Zakharov–Kuznetsov equation | Weighted Sobolev spaces | Zakharov-Kuznetsov equation | MATHEMATICS | MATHEMATICS, APPLIED | BENJAMIN-ONO-EQUATION | IVP | CAUCHY-PROBLEM | WELL-POSEDNESS
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 12/2015, Volume 259, Issue 11, pp. 6694 - 6717
In this paper we analyze operator splitting for the Benjamin–Ono equation, ut=uux+Huxx, where H denotes the Hilbert transform... 
Benjamin–Ono equation | Godunov splitting | Strang splitting | Error estimate | Convergence | Benjamin-Ono equation | MATHEMATICS | WAVES | GLOBAL WELL-POSEDNESS
Journal Article
Nonlinear Analysis, ISSN 0362-546X, 11/2019, Volume 188, pp. 50 - 69
In this work we prove that the initial value problem (IVP) associated to the two-dimensional Benjamin–Ono equation ut+HΔu+uux=0,(x,y)∈T2,t∈R,u(x,y,0)=u0(x,y... 
Benjamin–Ono equation | Sobolev spaces | Well-posedness | MATHEMATICS | MATHEMATICS, APPLIED | Benjamin-Ono equation | GLOBAL WELL-POSEDNESS | Boundary value problems | Well posed problems | Sobolev space | Hilbert transformation | Cauchy problem
Journal Article
Advances in Mathematics, ISSN 0001-8708, 04/2019, Volume 347, pp. 619 - 676
We consider the Cauchy problem for the defocusing cubic nonlinear Schrödinger equation in four space dimensions and establish almost sure local well-posedness... 
Almost sure scattering | Nonlinear Schrödinger equation | Almost sure well-posedness | Random initial data | MATHEMATICS | BENJAMIN-ONO-EQUATION | INVARIANT-MEASURES | WAVE EQUATION | GLOBAL EXISTENCE | MAPS | REGULARITY | Nonlinear Schrodinger equation | DATA CAUCHY-THEORY
Journal Article
Physica D: Nonlinear Phenomena, ISSN 0167-2789, 03/2015, Volume 295-296, pp. 46 - 65
Journal Article
Communications in Mathematical Physics, ISSN 0010-3616, 12/2014, Volume 332, Issue 3, pp. 1203 - 1234
Journal Article
Stratum Plus, ISSN 1608-9057, 2018, Volume 34, Issue 5, pp. 1563 - 1608
Journal Article
Journal of Functional Analysis, ISSN 0022-1236, 07/2012, Volume 263, Issue 1, pp. 1 - 24
We consider Schrödinger equations in R1+2 with electro-magnetic potentials. The potentials belong to H1, and typically they are time-independent or determined as solutions to inhomogeneous wave equations... 
Maxwell–Schrödinger equations | Smoothing effect | Well-posedness | Maxwell-Schrödinger equations | MAGNETIC POTENTIALS | EXISTENCE | STRICHARTZ | CAUCHY-PROBLEM | LOCAL WELL-POSEDNESS | BENJAMIN-ONO EQUATIONS | MATHEMATICS | NONLINEAR KLEIN-GORDON | Maxwell-Schrodinger equations | DISPERSIVE EQUATIONS | FINITE-ENERGY SOLUTIONS | OPERATORS
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 04/2018, Volume 460, Issue 2, pp. 1004 - 1018
In this work we consider the initial value problem (IVP) associated to the Ostrovsky equationsut+∂x3u±∂x−1u+u∂xu=0,x∈R,t∈R,u(x,0)=u0(x).} We study the... 
Ostrovsky equation | Local well-posedness | Weighted Sobolev spaces | MATHEMATICS | MATHEMATICS, APPLIED | BENJAMIN-ONO-EQUATION | REGULARITY | CAUCHY-PROBLEM | WELL-POSEDNESS | KDV EQUATION
Journal Article
by Kim, K and Kwon, S
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, ISSN 0002-9947, 10/2019, Volume 372, Issue 7, pp. 5011 - 5067
We prove the scattering for the defocusing generalized Benjamin-Ono equation in the energy space H-1/2 (R... 
MATHEMATICS | Generalized Benjamin-Ono equation | scattering | CALCULUS | CONCENTRATION-COMPACTNESS PRINCIPLE | FINITE-TIME BLOWUP | monotonicity | NONLINEAR SCHRODINGER-EQUATION | GLOBAL WELL-POSEDNESS
Journal Article
Journal of Functional Analysis, ISSN 0022-1236, 02/2016, Volume 270, Issue 3, pp. 976 - 1000
We shall deduce some special regularity properties of solutions to the IVP associated to the Benjamin–Ono equation... 
Benjamin–Ono equation | Weighted Sobolev spaces | Benjamin-Ono equation | MATHEMATICS | CAUCHY-PROBLEM | GLOBAL WELL-POSEDNESS
Journal Article
Studies in Applied Mathematics, ISSN 0022-2526, 02/2018, Volume 140, Issue 2, pp. 133 - 177
The aim of this paper is to study, via theoretical analysis and numerical simulations, the dynamics of Whitham and related equations... 
EXISTENCE | MATHEMATICS, APPLIED | DISPERSIVE PERTURBATIONS | STABILITY | SOLITARY-WAVE SOLUTIONS | KORTEWEG-DE-VRIES | BLOW-UP | BENJAMIN-ONO | MODEL | SURFACE-WATER WAVES | POSEDNESS | Analysis of PDEs | Mathematics
Journal Article
Mathematical methods in the applied sciences, ISSN 1099-1476, 2018, Volume 42, Issue 1, pp. 219 - 228
In this paper, we study several aspects of solitary wave solutions of the rotation Benjamin‐Ono equation... 
Benjamin‐Ono | solitary waves | Benjamin-Ono | MATHEMATICS, APPLIED | STANDING WAVES | INTERNAL WAVES | Orbital stability | Ground state | Traveling waves | Solitary waves | Rotation
Journal Article
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