Results 61 to 70 of about 6,812 (242)
Results in PhysicsThe goal of this article is to obtain soliton cluster solutions of (2 + 1)-dimensional nonlinear variable coefficient Schrödinger equations through computerized symbolic computation.
Shaofu Wang
doaj +1 more source
Comments on whether nonlinear fractional partial differential equations have soliton solutions
Partial Differential Equations in Applied Mathematics, 2022 It is well known that many nonlinear integer-order partial differential equations (PDEs) have soliton solutions, this is an indisputable fact in the field of soliton theory.
Weiguo Rui
doaj +1 more source
Elliptic solitons and Heun’s equation [PDF]
, 2002 We find a new class of algebraic geometric solutions of Heun's equation with the accessory parameter belonging to a hyperelliptic curve. Dependence of these solutions from the accessory parameter as well as their relation to Heun's polynomials is studied.
openaire +2 more sources
The nonlinear Schroedinger equation: Solitons dynamics
Journal of Differential Equations, 2010 In this paper we investigate the dynamics of solitons occurring in the nonlinear Schroedinger equation when a parameter h->0. We prove that under suitable assumptions, the the soliton approximately follows the dynamics of a point particle, namely, the motion of its barycenter $q_h(t)$ satisfies the equation $ddot{q}_h(t)+\nabla V(q_h(t))=H_h(t ...
BENCI, VIERI +2 more
openaire +4 more sources
ENERGY &ENVIRONMENTAL MATERIALS, EarlyView.This study investigates the effects of oxidation treatment on the nonlinear optical absorption properties and carrier dynamics of two‐dimensional violet phosphorene (VP), elucidating the underlying physical mechanisms. Furthermore, ultrashort laser pulses are achieved utilizing the enhanced saturation absorption and shortened carrier relaxation ...
Bo Li +6 more
wiley +1 more source
Spectral continuation study of the temporally periodic solitons of the damped-driven nonlinear Schrödinger equations [PDF]
, 2012 Includes abstract.Includes bibliographical references.In this thesis we develop and employ a spectral continuation algorithm, implemented in AUTO, to study the temporally periodic spatially localised soliton solutions of the driven, damped nonlinear ...
Lee-Thorpe, James
core
Soliton solutions of coupled nonlinear field equations [PDF]
, 1980 A scheme for finding some exact soliton solutions of coupled nonlinear field equations is proposed. By assuming that one of the scalar fields can be expressed in terms of the other scalar field in quadratic forms, soliton solutions can be easily derived
C. S. Lai
core +1 more source
New Journal of Physics, 2015 The nonlinear Dirac equation for Bose–Einstein condensates (BECs) in honeycomb optical lattices gives rise to relativistic multi-component bright and dark soliton solutions.
L H Haddad, Lincoln D Carr
doaj +1 more source
Optical Skyrmions with Tunable or Reconfigurable Topology Using Spin‐Decoupled Metaoptics
Laser &Photonics Reviews, EarlyView.The work introduces advanced optical elements capable of generating and dynamically reconfiguring complex light patterns known as optical skyrmions. By precisely shaping light polarization at the nanoscale, a single engineered metasurface can generate and manipulate robust and tunable polarization textures in an efficient and scalable way.
Andrea Vogliardi +5 more
wiley +1 more source
Soliton on Thin Vortex Filament [PDF]
, 1990 "Showing that one of the equations found by Wadati Konno and Ichikawa is equivalent to the equation of motion of a thin vortex filament, we investigate solitons on the vortex filament. N vortex soliton solution is given in terms of the inverse scattering
Ichikawa, Yoshi H." +2 more
core