نتایج جستجو برای: Nonlocal nonlinearity

تعداد نتایج: 30381  

2007
Daniel Buccoliero Servando Lopez-Aguayo Stefan Skupin Anton S. Desyatnikov Ole Bang Wieslaw Krolikowski Yuri S. Kivshar

We analyze the propagation of rotating multi-soliton localized structures in optical media with spatially nonlocal nonlinearity. We demonstrate that nonlocality stabilizes the azimuthal breakup of rotating dipole as well as multipole localized soliton modes. We compare the results for two different models of nonlocal nonlinearity and suggest that the stabilization mechanism is a generic propert...

Journal: :Physical review. E, Statistical, nonlinear, and soft matter physics 2001
W Krolikowski O Bang J J Rasmussen J Wyller

We study modulational instability (MI) of plane waves in nonlocal nonlinear Kerr media. For a focusing nonlinearity we show that, although the nonlocality tends to suppress MI, it can never remove it completely, irrespective of the particular profile of the nonlocal response function. For a defocusing nonlinearity the stability properties depend sensitively on the response function profile: for...

2013
Paulius MIŠKINIS

A generalization of the Hopf–Cole transformation and its relation to the Burgers equation of integer order and the diffusion equation with quadratic nonlinearity are discussed. The explicit form of a particular analytical solution is presented. The existence of the travelling wave solution and the interaction of nonlocal perturbation are considered. The nonlocal generalizations of the one-dimen...

Journal: :Physical review. E, Statistical, nonlinear, and soft matter physics 2004
Wiesław Królikowski Ole Bang John Wyller

We investigate the propagation of partially coherent beams in spatially nonlocal nonlinear media with a logarithmic type of nonlinearity. We derive analytical formulas for the evolution of the beam parameters and conditions for the formation of nonlocal incoherent solitons.

2009
YuanYao Lin Ray-Kuang Lee Boris A. Malomed

We derive nonlocal coupled-mode equations for a Bragg grating embedded in a medium with nonlocal nonlinearity. Using these equations, we study the oscillatory instability of nonlocal Bragg solitary waves and demonstrate that collisions between them result in fusion into a standing pulse or breather , possibly with generation of additional jets, in a broad range of parameters. The results are ex...

Journal: :Bulletin des Sciences Mathématiques 2017

2014
A. Farajpour

Recently, graphene sheets have shown significant potential for environmental engineering applications such as wastewater treatment. In the present work, the posbuckling response of orthotropic single-layered graphene sheet (SLGS) is investigated in a closedform analytical manner using the nonlocal theory of Eringen. Two opposite edges of the plate are subjected to normal stresses. The nonlocali...

2008
HIRONOBU SASAKI H. SASAKI

We study the inverse scattering problem for the three dimensional nonlinear Schrödinger equation with the Yukawa potential. The nonlinearity of the equation is nonlocal. We reconstruct the potential and the nonlinearity by the knowledge of the scattering states. Our result is applicable to reconstructing the nonlinearity of the semi-relativistic Hartree equation.

2006
Cyril Falvo Vincent Pouthier J. C. Eilbeck C. Falvo

By using a Generalized Hubbard model for bosons, the energy transfer in a nonlinear quantum lattice is studied, with special emphasis on the interplay between local and nonlocal nonlinearity. For a strong local nonlinearity, it is shown that the creation of v quanta on one site excites a soliton band formed by bound states involving v quanta trapped on the same site. The energy is first localiz...

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