Results 21 to 30 of about 856 (85)

The fractional Hartree equation without the Ambrosetti-Rabinowitz condition [PDF]

, 2016
We consider a class of pseudo-relativistic Hartree equations in presence of general nonlinearities not satisfying the Ambrosetti-Rabinowitz condition.
Francesconi, Mauro, Mugnai, Dimitri
core   +1 more source

On a logarithmic Hartree equation

Advances in Nonlinear Analysis, 2019
We study the existence of radially symmetric solutions for a nonlinear planar Schrödinger-Poisson system in presence of a superlinear reaction term which doesn’t satisfy the Ambrosetti-Rabinowitz condition. The system is re-written as a nonlinear Hartree
Bernini Federico, Mugnai Dimitri
doaj   +1 more source

Non-viscous Regularization of the Davey-Stewartson Equations: Analysis and Modulation Theory [PDF]

, 2016
In the present study we are interested in the Davey-Stewartson equations (DSE) that model packets of surface and capillary-gravity waves. We focus on the elliptic-elliptic case, for which it is known that DSE may develop a finite-time singularity.
Yanqiu Guo, Irma Hacinliyan, E. Titi
semanticscholar   +1 more source

Blow-up for self-interacting fractional Ginzburg-Landau equation

, 2017
The blow-up of solutions for the Cauchy problem of fractional Ginzburg-Landau equation with non-positive nonlinearity is shown by an ODE argument. Moreover, in one dimensional case, the optimal lifespan estimate for size of initial data is obtained ...
Fujiwara, Kazumasa, Georgiev, Vladimir, Ozawa, Tohru   +2 more
core   +1 more source

EXACT SOLUTIONS OF THE HIGHER-ORDER NONLINEAR SCHR\"{O}DINGER EQUATION WITH CUBIC-QUINTIC NONLINEARITIES, SELF-STEEPING AND SELF-FREQUENCY SHIFT EFFECTS

, 2016
In this paper, the F-expansion method has been used to find several types of exact solutions of the higher-order nonlinear Schrödinger (HONLS) equation with cubic-quintic nonlinearities, self-steeping and self-frequency shift effects which describes the ...
M. M. Hassan, N. H. Abdel-Wahab, M. S. Abdel-Daym   +2 more
semanticscholar   +1 more source

Blending Brownian motion and heat equation

, 2015
In this short communication we present an original way to couple the Brownian motion and the heat equation. More in general, we suggest a way for coupling the Langevin equation for a particle, which describes a single realization of its trajectory, with ...
Cristiani, Emiliano
core   +1 more source

A new approach to linear and nonlinear Schrodinger equations using the natural decomposition method

, 2014
In this paper, we proposed a new computational algorithms called a new approach to linear and nonlinear Schrödinger equations using the Natural Decomposition Method (NDM).
Shehu Maitama
semanticscholar   +1 more source

Oblique closed form solutions of some important fractional evolution equations via the modified Kudryashov method arising in physical problems

Journal of Ocean Engineering and Science, 2018
The paper deals with the obliquely propagating wave solutions of fractional nonlinear evolution equations (NLEEs) arising in science and engineering. The conformable time fractional (2 + 1)-dimensional extended Zakharov-Kuzetsov equation (EZKE), coupled ...
F. Ferdous, M.G. Hafez
doaj   +1 more source

Derivation of the Gross-Pitaevskii dynamics through renormalized excitation number operators

Forum of Mathematics, Sigma
We revisit the time evolution of initially trapped Bose-Einstein condensates in the Gross-Pitaevskii regime. We show that the system continues to exhibit BEC once the trap has been released and that the dynamics of the condensate is described by the time-
Christian Brennecke, Wilhelm Kroschinsky
doaj   +1 more source

Multi-solitons for nonlinear Klein–Gordon equations

Forum of Mathematics, Sigma, 2014
In this paper, we consider the existence of multi-soliton structures for the nonlinear Klein–Gordon (NLKG) equation in $\def \xmlpi #1{}\def \mathsfbi #1{\boldsymbol {\mathsf {#1}}}\let \le =\
RAPHAËL CÔTE, CLAUDIO MUÑOZ
doaj   +1 more source