Dionyssios Mantzavinos

1. Long-time asymptotics for the focusing nonlinear Schr "odinger equation\n with nonzero boundary conditions at infinity and asymptotic stage of\n modulational instability
   2015/12/18 by Gino Biondini, Dionyssios Mantzavinos, Biondini, Gino +1 · 3 citations
   Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Nonlinear Photonic Systems #Nonlinear Waves and Solitons
2. Extended water wave systems of Boussinesq equations on a finite interval: Theory and numerical analysis
   2022/10/07 by Dionyssios Mantzavinos, Dimitrios Mitsotakis, Mantzavinos, Dionyssios +1 · 1 citation
   Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Waves and Solitons #Numerical Analysis (math.NA) #Ocean Waves and Remote Sensing
3. Local well-posedness of the higher order nonlinear Schrödinger equation on the half-line: single boundary condition case
   2023/05/29 by Aykut Alkın, Alkın, Aykut, Dionyssios Mantzavinos +3 · 1 citation
   Engineering · Mathematics · #35G16 #35G31 #35Q53 #35Q55 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Electromagnetic Simulation and Numerical Methods #FOS: Mathematics #Numerical methods for differential equations
4. On the proximity between the wave dynamics of the integrable focusing nonlinear Schrödinger equation and its non-integrable generalizations
   2023/07/31 by D. Hennig, Hennig, Dirk, Nikos I. Karachalios +7 · 2 citations
   Mathematics · Physics and Astronomy · #35B35 #35Q55 #37K40 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Mathematical Physics (math-ph) #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Optics (physics.optics) #Pattern Formation and Solitons (nlin.PS)
5. On the proximity of Ablowitz-Ladik and discrete Nonlinear Schrödinger models: A theoretical and numerical study of Kuznetsov-Ma solutions
   2024/12/13 by Madison L. Lytle, Lytle, Madison L., Efstathios G. Charalampidis +9 · 2 citations
   Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Nonlinear Photonic Systems #Pattern Formation and Solitons (nlin.PS)