Results 71 to 80 of about 359,520 (242)
, 2002 The Bose-Einstein condensate (BEC) of a dilute gas of bosons is well described by the three-dimensional Gross-Pitaevskii equation (3D GPE), that is a nonlinear Schrodinger equation.
Salasnich, Luca
core +1 more source
Charge gradient effects on modulated dust lattice wave packets in dusty plasma crystals
Iranian Journal of Physics Research, 2012 Nonlinear Dust lattice modes are studied in a hexagonal two-dimensional dusty plasma lattice, in presence of charge gradient of dust particles. In this lattice, such gradients affect nonlinear behavior of dust lattice waves.
M Shahmansouri, B Farokhi
doaj
Applied Sciences, 2015 Nonlinear ultrashort pulse propagation in a mode-locked Yb:YAG laser with a highly nonlinear intra-cavity medium is analyzed using a nonlinear Schrodinger equation. The output spectra are extended by the increased laser intensity, and spectral bandwidths
Takeshi Yoshida +7 more
doaj +1 more source
Mathematical Methods in the Applied Sciences, Volume 48, Issue 8, Page 9225-9240, 30 May 2025.ABSTRACT In this paper, we consider the energy critical nonlinear Schrödinger equation with a repulsive inverse square potential. In particular, we deal with radial initial data, whose energy is equal to the energy of static solution to the corresponding nonlinear Schrödinger equation without a potential.
Masaru Hamano, Masahiro Ikeda
wiley +1 more source
Unveiling New Perspectives on the Hirota–Maccari System With Multiplicative White Noise
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this study, we delve into the stochastic Hirota–Maccari system, which is subjected to multiplicative noise according to the Itô sense. The stochastic Hirota–Maccari system is significant for its ability to accurately model how stochastic affects nonlinear wave propagation, providing valuable insights into complex systems like fluid dynamics
Mohamed E. M. Alngar +3 more
wiley +1 more source
Factorization of the Non-Stationary Schrodinger Operator
, 2007 We consider a factorization of the non-stationary Schrodinger operator based on the parabolic Dirac operator introduced by Cerejeiras/ Kahler/ Sommen. Based on the fundamental solution for the parabolic Dirac operators, we shall construct appropriated ...
Cerejeiras, P., Vieira, N.
core +1 more source
Existence, regularity and positivity of ground states for nonlocal nonlinear Schrodinger equations
Electronic Journal of Differential Equations, 2019 We study ground states of a nonlinear Schr\"odinger equation driven by the infinitesimal generator of a rotationally invariant Levy process. The equation includes many special cases such as classical Schrodinger equations, fractional Schrodinger ...
Yong-Chao Zhang
doaj
On defocusing coupled nonlinear Schrodinger equations [PDF]
arXiv, 2015 The initial value problem for some defocusing coupled nonlinear Schrodinger equations is investigated. Global well-posedness and scattering are established.
arxiv
Existence of Normalized Solutions of a Hartree–Fock System With Mass Subcritical Growth
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this paper, we are concerned with normalized solutions of a class of Hartree‐Fock type systems. By seeking the constrained global minimizers of the corresponding functional, we prove that the existence and nonexistence of normalized solutions.
Hua Jin +3 more
wiley +1 more source
Electronic Journal of Differential Equations, 2017 The discrete nonlinear Schrodinger equation is a nonlinear lattice system that appears in many areas of physics such as nonlinear optics, biomolecular chains and Bose-Einstein condensates.
Xia Liu, Tao Zhou, Haiping Shi
doaj