Results 261 to 270 of about 433,700 (300)

Supercritical geometric optics for nonlinear Schrodinger equations

2007
We consider the small time semi-classical limit for nonlinear Schrodinger equations with defocusing, smooth, nonlinearity. For a super-cubic nonlinearity, the limiting system is not directly hyperbolic, due to the presence of vacuum. To overcome this issue, we introduce new unknown functions, which are defined nonlinearly in terms of the wave function ...
Alazard, Thomas, Carles, R��mi
openaire   +1 more source

Nonlinear dynamics of the generalized unstable nonlinear Schrödinger equation: a graphical perspective

Optical and quantum electronics, 2023
M. Rafiq, N. Raza, Adil Jhangeer
semanticscholar   +1 more source

Nondegenerate soliton dynamics of nonlocal nonlinear Schrödinger equation

Nonlinear dynamics, 2023
Kai-Li Geng, Bo-Wei Zhu, Qi-Hao Cao, Chao-Qing Dai, Yue‐Yue Wang   +4 more
semanticscholar   +1 more source

Relevant and irrelevant nonlinear Schrodinger equations

Journal of Physics A: Mathematical and General, 1995
Summary: First, we summarize the argument against deterministic nonlinear Schrödinger equations. We recall that any such equation activates quantum non-locality in the sense that that information could be signalled in a finite time over arbitrarily large distances. Next we introduce a deterministic nonlinear Schrödinger equation.
Gisin, Nicolas, Rigo, Marco
openaire   +2 more sources

Dynamics of soliton solutions in optical fibers modelled by perturbed nonlinear Schrödinger equation and stability analysis

Optical and quantum electronics, 2023
sonia akram, J. Ahmad, Shafqat-ur-Rehman, S. Sarwar, Asghar Ali   +4 more
semanticscholar   +1 more source

Wave structures and the chaotic behaviors of the cubic-quartic nonlinear Schrödinger equation for parabolic law in birefringent fibers

Nonlinear dynamics, 2023
Yaxi Li, Yue Kai
semanticscholar   +1 more source

Dynamical behaviour of Chiral nonlinear Schrödinger equation

Optical and quantum electronics, 2022
Lanre Akinyemi, M. Inc., M. Khater, H. Rezazadeh   +3 more
semanticscholar   +1 more source

Nonlinear Schrodinger equation with time dependent potential

2009
We prove a global well-posedness result for defocusing nonlinear Schrodinger equations with time dependent potential. We then focus on time dependent harmonic potentials. This aspect is motivated by Physics (Bose--Einstein condensation), and appears also as a preparation for the analysis of the propagation of wave packets in a nonlinear context.
openaire   +1 more source

Soliton interaction control through dispersion and nonlinear effects for the fifth-order nonlinear Schrödinger equation

Nonlinear dynamics, 2021
Guoli Ma, Jianbo Zhao, Qin Zhou, A. Biswas, Wenjun Liu   +4 more
semanticscholar   +1 more source

The Nonlinear Schrödinger Equation: Local Theory

2009
In this chapter, we shall study local well-posedness of the nonlinear initial value problem (IVP) associated to the Schrodinger equation. We discuss results for data in \(L^2(\mathbb{R}^n)\), \(H^1(\mathbb{R}^n)\), and other well-posedness issues. We end the chapter with some remarks and comments regarding the issues discussed in the previous sections.
Felipe Linares, Gustavo Ponce
openaire   +1 more source