Results 61 to 70 of about 117 (94)

Global solutions to 3D quadratic nonlinear Schrödinger-type equation

Forum of Mathematics, Sigma
We consider the Cauchy problem to the 3D fractional Schrödinger equation with quadratic interaction of $u\bar u$ type. We prove the global existence of solutions and scattering properties for small initial data.
Zihua Guo, Naijia Liu, Liang Song
doaj   +1 more source

Sharp well-posedness for the cubic NLS and mKdV in $H^s({{\mathbb {R}}})$

Forum of Mathematics, Pi
We prove that the cubic nonlinear Schrödinger equation (both focusing and defocusing) is globally well-posed in $H^s({{\mathbb {R}}})$ for any regularity $s>-\frac 12$ .
Benjamin Harrop-Griffiths, Rowan Killip, Monica Vişan   +2 more
doaj   +1 more source

Classification of solutions to a coupled nonlinear Schrödinger system

Demonstratio Mathematica
We are concerned with the classification of the general solutions to the following coupled nonlinear Schrödinger system−u″+λu=μu3+βv2u inR,−v″+λv=μv3+βu2v inR.
Zhou Luyan
doaj   +1 more source

Correlation functions of the generalized phase model

Physics Letters B
This paper is devoted to investigating the correlation functions of the generalized phase model by combining symmetric functions with charged fermions.
Denghui Li, Shengyu Zhang, Zhaowen Yan
doaj   +1 more source

UC and BUC plane partitions

European Physical Journal C: Particles and Fields
This paper is concerned with the investigation of UC and BUC plane partitions based upon the fermion calculus approach. We construct generalized the vertex operators in terms of free charged fermions and neutral fermions and present the interlacing ...
Shengyu Zhang, Zhaowen Yan
doaj   +1 more source

A pedestrian approach to the invariant Gibbs measures for the 2-d defocusing nonlinear Schrödinger equations. [PDF]

Stoch Partial Differ Equ, 2018
Oh T, Thomann L.
europepmc   +1 more source

Quasi-invariant Gaussian measures for the cubic fourth order nonlinear Schrödinger equation. [PDF]

Probab Theory Relat Fields, 2017
Oh T, Tzvetkov N.
europepmc   +1 more source

Local well-posedness of the periodic nonlinear Schrödinger equation with a quadratic nonlinearity ū2 in negative Sobolev spaces

, 2023
Liu R.
europepmc   +1 more source

Integrability and Linear Stability of Nonlinear Waves. [PDF]

J Nonlinear Sci, 2018
Degasperis A, Lombardo S, Sommacal M.
europepmc   +1 more source

On Critical Behaviour in Systems of Hamiltonian Partial Differential Equations. [PDF]

J Nonlinear Sci, 2015
Dubrovin B, Grava T, Klein C, Moro A.
europepmc   +1 more source