Results 51 to 60 of about 275,450 (166)

Localized Excitations in two-dimensional Hamiltonian Lattices

, 1994
We analyze the origin and features of localized excitations in a discrete two-dimensional Hamiltonian lattice. The lattice obeys discrete translational symmetry, and the localized excitations exist because of the presence of nonlinearities.
Flach, S., Kladko, K., Willis, C. R.
core   +2 more sources

Multi-site breathers in Klein-Gordon lattices: stability, resonances, and bifurcations

, 2013
We prove the most general theorem about spectral stability of multi-site breathers in the discrete Klein-Gordon equation with a small coupling constant.
Anton Sakovich, Bambusi D, Broer H, Dmitry Pelinovsky, James G, Kato T, Koukouloyannis V, MacKay R S, Simo C, Yakubovich V A, Yoshimura K, Zeidler E   +11 more
core   +1 more source

Orbifold resolutions and fermion localization

, 2004
We study the Dirac equation of chiral fermions on a regularized version of the two-dimensional T^2/Z_2 orbifold, where the conical singularities are replaced by suitable spherical caps with constant curvature.
Serone, Marco, Wulzer, Andrea
core   +3 more sources

Gap solitons attached to a gapless layer

, 2015
We consider linear and nonlinear modes pinned to a grating-free (gapless) layer placed between two symmetric or asymmetric semi-infinite Bragg gratings (BGs), with a possible phase shift between them, in a medium with the uniform Kerr nonlinearity.
Malomed, Boris A., Mayteevarunyoo, Thawatchai   +1 more
core   +1 more source

Localized gap soliton trains of Bose-Einstein condensates in an optical lattice

, 2008
We develop a systematic analytical approach to study the linear and nonlinear solitary excitations of quasi-one-dimensional Bose-Einstein condensates trapped in an optical lattice.
D. L. Wang, D. W. Jordan, I. S. Gradshteyn, W. M. Liu, X. H. Yan   +4 more
core   +1 more source

Droplet-shaped waves: Causal finite-support analogs of X-shaped waves

, 2013
A model of steady-state X-shaped wave generation by a superluminal (supersonic) pointlike source infinitely moving along a straight line is extended to a more realistic causal scenario of a source pulse launched at time zero and propagating rectilinearly
Abdollahpour, Andrei B. Utkin, Arévalo, Barut, Besieris, Besieris, Borisov, Borisov, Caldirola, Di Trapani, Gron, Lemke, Porras, Recami, Recami, Recami, Recami, Recami, Saari, Saari, Salo, Sheppard, Utkin, Utkin, Vieira, Walker, Zamboni-Rached, Zamboni-Rached, Zamboni-Rached, Ziolkowski   +29 more
core   +1 more source

The Localized Method of Fundamental Solution for Two Dimensional Signorini Problems

Computer Modeling in Engineering & Sciences, 2022
Zhuowan Fan, Yancheng Liu, Anyu Hong, Fugang Xu, Fuzhang Wang   +4 more
openaire   +1 more source

Innovative solutions for lossy nonlinear transmission lines model using a modified extended mapping approach with fractional effects. [PDF]

Sci Rep
Hussein HH, Alexan W, Kandil SA.
europepmc   +1 more source

Optical soliton wave profiles for the (2 + 1)-dimensional complex modified Korteweg-de Vries system with the impact of fractional derivative via analytical approach. [PDF]

Sci Rep
Khan MI, Khan MA, Iqbal M, Alghabban WG, Aljohani A, Al-Dayel I, Ceesay B.   +6 more
europepmc   +1 more source

Abundant different types of soliton solutions for fractional modified KdV equation using auxiliary equation method. [PDF]

Sci Rep
Hussain A, Ibrahim TF, Birkea FMO, Yahya MS, Hassaballa AA, Mukalazi H.   +5 more
europepmc   +1 more source