The moduli space of static finite energy solutions to Ward’s integrable chiral model is the space MN of based rational maps from CP 1 to itself with degree N . The Lagrangian of Ward’s model gives rise to a Kähler metric and a magnetic vector potential on this space. However, the magnetic field strength vanishes, and the approximate non–relativistic solutions to Ward’s model correspond to a geo...

In this paper we numerically investigate the effect of relative phase on thestability of temporal bright solitons in a Nano PT- Symmetric nonlinear directionalcoupler (NLDC) by considering gain in bar and loss in cross. We also study the effect ofrelative phase on the output perturbed bright solitons energies, in the range of   0 to 180 . By using perturbation theory three eigenfunctions an...

High-density low-temperature plasmas with degenerate species are considered in the limit of high Fermi velocities close to speed light. The small amplitude ion-acoustic solitons studied this regime. Presented analysis is based on relativistic hydrodynamic model average reverse gamma factor evolution consists equations for following functions concentration, velocity field, factor, and flux which...

The spin-electron-acoustic waves (sometimes called the spin-plasmons) can be found in degenerate electron gas if spin-up electrons and spin down move relatively each other. Here, we suggest relativistic hydrodynamics with separate evolution which allows us to study linear nonlinear waves, including solitons. Presented hydrodynamic model is corresponding generalization of average reverse gamma f...

Type-II Dirac/Weyl points, although impermissible in particle physics due to Lorentz covariance, were uncovered condensed matter physics, driven by fundamental interest and intriguing applications of topological materials. Recently, there has been a surge exploration such generic points using various engineered platforms including photonic crystals, waveguide arrays, metasurfaces, magnetized pl...

The nonlinear electron-acoustic solitons are investigated in magnetized dense plasma with quantum effects of degenerate electrons this model. After reviewing the basic introduction plasma, we describe phenomenon electron acoustic wave. reductive perturbation technique is employed for derive Zakharov-Kuznetsov (ZK) equation propagation waves plasma. In paper, have derived a having arbitrary temp...

The (2+1)-dimensional Davey-Stewartson-like equations with variable coefficients have the applications in ultra-relativistic degenerate dense plasmas and Bose-Einstein condensates. Via Bell polynomials symbolic computation, bilinear form, Backlund transformation Lax pair for such are obtained. Based on Hirota method, we construct soliton solutions, analyze elastic collisions constant coefficien...

The evolution of electromagnetic (EM) solitons due to nonlinear coupling circularly polarized intense laser pulses with low-frequency electron-acoustic perturbations is studied in relativistic degenerate dense astrophysical plasmas two groups electrons: a sparse population classical electrons and electron gas. Different forms localized stationary solutions are obtained their properties analyzed...

Within the framework of theory strongly-interacting quantum Bose liquids, we consider a general relativistic model self-interacting complex scalar fields with logarithmic nonlinearity taken from dense superfluid models. We demonstrate existence gravitational equilibria in this model, described by spherically symmeric nonsingular finite-mass asymptotically-flat solutions. These equilibrium confi...