Dmitry E. Pelinovsky

1. Bounds on the tight-binding approximation for the Gross-Pitaevskii equation with a periodic potential
   2007/11/16 by Dmitry E. Pelinovsky, Pelinovsky, Dmitry, Guido Schneider +1 · 2 citations
   Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Photonic Systems #Strong Light-Matter Interactions
2. Standing waves of the quintic NLS equation on the tadpole graph
   2020/09/16 by Diego Noja, Dmitry E. Pelinovsky · 3 citations
3. Asymptotic stability of small gap solitons in the nonlinear Dirac\n equations
   2010/08/26 by Dmitry E. Pelinovsky, Atanas Stefanov, Pelinovsky, Dmitry E. +1 · 2 citations
   Mathematics · #Advanced Mathematical Physics Problems #Spectral Theory in Mathematical Physics
4. Variational Approximations of Bifurcations of Asymmetric Solitons in Cubic-Quintic Nonlinear Schroedinger Lattices
   2009/04/22 by Christopher Chong, Chong, C., Dmitry E. Pelinovsky +1 · 1 citation
   Computer Science · Physics and Astronomy · #FOS: Physical sciences #Nonlinear Dynamics and Pattern Formation #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Pattern Formation and Solitons (nlin.PS)
5. Orbital stability in the cubic defocusing NLS equation: II. The black\n soliton
   2014/12/21 by Thierry Gallay, Gallay, Thierry, Dmitry E. Pelinovsky +1 · 1 citation
   Mathematics · Physics and Astronomy · #35B35 #35Q55 #37K40 #37K45 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Photonic Systems #Nonlinear Waves and Solitons
6. Ground state of the conformal flow on \mathbbS³
   2017/06/23 by Piotr Bizoń, Dominika Hunik‐Kostyra, Bizoń, Piotr +3 · 1 citation
   Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons #Quantum chaos and dynamical systems
7. Pinning in the extended Lugiato-Lefever equation
   2023/01/01 by Lukas Bengel, Bengel, Lukas, Dmitry E. Pelinovsky +3 · 1 citation
   Physics and Astronomy · #34B15 #34B60 #Advanced Fiber Laser Technologies #Analysis of PDEs (math.AP) #FOS: Mathematics #Mechanical and Optical Resonators #Nonlinear Photonic Systems #Primary: 34C23 #Secondary: 35Q55
8. Ground state of the Gross-Pitaevskii equation with a harmonic potential in the energy-critical case
   2023/02/08 by Dmitry E. Pelinovsky, Szymon Sobieszek, Pelinovsky, Dmitry E. +1 · 1 citation
   Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Nonlinear Photonic Systems #Quantum Mechanics and Non-Hermitian Physics
9. Kink breathers on a traveling wave background in the defocusing modified Korteweg--de Vries equation
   2025/03/19 by Lynnyngs Kelly Arruda, Arruda, Lynnyngs Kelly, Dmitry E. Pelinovsky +1 · 2 citations
   Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Pattern Formation and Solitons (nlin.PS)
10. Algebraic solitons in the massive Thirring model
    2024/06/10 by Jiaqi Han, Cheng He, Han, Jiaqi +3 · 1 citation
    Physics and Astronomy · #Nonlinear Waves and Solitons
11. Stability of black solitons in optical systems with intensity-dependent dispersion
    2022/05/20 by Dmitry E. Pelinovsky, Pelinovsky, Dmitry E., Michael Plum +1 · 1 citation
    Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Dynamical Systems (math.DS) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Pattern Formation and Solitons (nlin.PS)