Pelinovsky, Dmitry
- Bifurcations and stability of standing waves in the nonlinear\n Schr "odinger equation on the tadpole graph
2014/12/28 by Diego Noja, Noja, Diego, Dmitry E. Pelinovsky +3 · 3 citations
Engineering · Mathematics · Physics and Astronomy · #Electromagnetic Simulation and Numerical Methods #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Photonic Systems #Numerical methods for differential equations
- Bounds on the tight-binding approximation for the Gross-Pitaevskii equation with a periodic potential
2007/11/16 by Dmitry E. Pelinovsky, Dmitry Pelinovsky, Guido Schneider +2 · 2 citations
Mathematics · 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 #math-ph #math.DS #math.MP
- Linear instability of breathers for the focusing nonlinear Schrödinger equation
2021/12/29 by Haragus, Mariana, Pelinovsky, Dmitry · 2 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics
- Enstrophy growth in the viscous Burgers equation
2012/02/09 by Pelinovsky, Dmitry · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics
- Orbital stability in the cubic defocusing NLS equation: II. The black\n soliton
2014/12/21 by Thierry Gallay, Dmitry E. Pelinovsky, Gallay, Thierry +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
- 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
- Backlund transformation and L2-stability of NLS solitons
2010/11/26 by Mizumachi, Tetsu, Pelinovsky, Dmitry · 1 citation
#Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Pattern Formation and Solitons (nlin.PS)
- Survey on global existence in the nonlinear Dirac equations in one dimension
2010/11/26 by Dmitry E. Pelinovsky, Pelinovsky, Dmitry · 1 citation
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Pattern Formation and Solitons (nlin.PS)