Results 51 to 60 of about 82,407 (180)

Multi-hump solitary waves of a nonlinear Dirac equation [PDF]

open access: yesCommunications in Mathematical Sciences, 2015
34 pages, 6 ...
Xu, Jian   +3 more
openaire   +2 more sources

On small energy stabilization in the NLKG with a trapping potential

open access: yes, 2015
We consider a nonlinear Klein Gordon equation (NLKG) with short range potential with eigenvalues and show that in the contest of complex valued solutions the small standing waves are attractors for small solutions of the NLKG.
Cuccagna, Scipio   +2 more
core   +1 more source

CONSTRUCTION OF CONSERVATION LAWS FOR NONLINEAR EQUATIONS CONNECTED WITH THE DIRAC SCATTERING OPERATOR

open access: yesНаука. Инновации. Технологии, 2022
Introduction: the problem of integrability of nonlinear partial differential equations, even for the second order, is not always an obvious fact, since inding a general solution is possible only in rare cases.
Tatyana Valentinovna Redkina
doaj  

Factorization of the Non-Stationary Schrodinger Operator

open access: yes, 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

Continuous-Discrete Path Integral Filtering

open access: yesEntropy, 2009
A summary of the relationship between the Langevin equation, Fokker-Planck-Kolmogorov forward equation (FPKfe) and the Feynman path integral descriptions of stochastic processes relevant for the solution of the continuous-discrete filtering problem is ...
Bhashyam Balaji
doaj   +1 more source

Concerning the generalized Lorentz symmetry and the generalization of the Dirac equation

open access: yes, 2004
The work is devoted to the generalization of the Dirac equation for a flat locally anisotropic, i.e., Finslerian space-time. At first we reproduce the corresponding metric and a group of the generalized Lorentz transformations, which has the meaning of ...
Arbuzov   +23 more
core   +2 more sources

The nonlinear Dirac equation in Bose–Einstein condensates: superfluid fluctuations and emergent theories from relativistic linear stability equations

open access: yesNew Journal of Physics, 2015
We present the theoretical and mathematical foundations of stability analysis for a Bose–Einstein condensate (BEC) at Dirac points of a honeycomb optical lattice. The combination of s -wave scattering for bosons and lattice interaction places constraints
L H Haddad, Lincoln D Carr
doaj   +1 more source

Nuts and bolts of supersymmetry

open access: yesPhysical Review Research, 2020
A topological mechanism is a zero-elastic-energy deformation of a mechanical structure that is robust against smooth changes in system parameters.
Nitin Upadhyaya   +2 more
doaj   +1 more source

On multiplicity of solutions to nonlinear Dirac equation with local super-quadratic growth

open access: yesAdvances in Nonlinear Analysis
In this article, we study the following nonlinear Dirac equation: −iα⋅∇u+aβu+V(x)u=g(x,∣u∣)u,x∈R3.-i\alpha \hspace{0.33em}\cdot \hspace{0.33em}\nabla u+a\beta u+V\left(x)u=g\left(x,| u| )u,\hspace{1em}x\in {{\mathbb{R}}}^{3}.
Liao Fangfang, Chen Tiantian
doaj   +1 more source

Nonlinear Refractive Index in Rectangular Graphene Quantum Dots

open access: yesApplied Sciences, 2019
Alongside its other favorable properties, the large refraction nonlinearity of graphene-related material makes it ideal for use in optoelectronics applications.
Yonggang Qin, Xiaobo Feng, Yu Liu
doaj   +1 more source

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