Results 101 to 110 of about 3,496 (115)

A remark on Gibbs measures with log-correlated Gaussian fields

Forum of Mathematics, Sigma
We study Gibbs measures with log-correlated base Gaussian fields on the d-dimensional torus. In the defocusing case, the construction of such Gibbs measures follows from Nelson’s argument.
Tadahiro Oh, Kihoon Seong, Leonardo Tolomeo   +2 more
doaj   +1 more source

Stability of Solitary Waves for Three Coupled Long Wave - Short Wave Interaction Equations [PDF]

arXiv, 2009
In this paper we consider a three-component system of one dimensional long wave-short wave interaction equations. The system has two-parameter family of solitary wave solutions. We prove orbital stability of the solitary wave solutions using variational methods.
arxiv  

On the existence of bound and ground states for some coupled nonlinear Schrödinger–Korteweg–de Vries equations

Advances in Nonlinear Analysis, 2017
We show the existence of positive bound and ground states for a system of coupled nonlinear Schrödinger–Korteweg–de Vries equations. More precisely, we prove that there exists a positive radially symmetric ground state if either the coupling coefficient ...
Colorado Eduardo
doaj   +1 more source

A normal form of the non-linear Schrödinger equation [PDF]

arXiv, 2010
We discuss normal forms of the completely resonant non-linear Schr\"odinger equation on a torus $\T^n$, with particular applications to quasi periodic solutions.
arxiv  

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