The reaction terms in the reaction-diffusion equations previously derived for the concentrations of potassium and calcium ions in brain structures during spreading depression are evaluated for various values of the ion concentrations. The null isoclines are estimated and the solitary wave trajectory plotted in the phase plane to find its relation to the isoclines and critical points of the kine...

The formation of nonlinear ion-acoustic waves is studied in a degenerate magnetoplasma accounting for quantized and trapped electrons. Relying on the reductive perturbation technique, three-dimensional Zakharov–Kuznetsov (ZK) equation derived, admitting solitary wave solution with modified amplitude width parameters. stability ZK also discussed using k-expansion method. Subsequently, numerical ...

in this paper, the coupled dispersive (2+1)-dimensional long wave equation is studied. the traveling wave hypothesis yields complexiton solutions. subsequently, the wave equation is studied with power law nonlinearity where the ansatz method is applied to yield solitary wave solutions. the constraint conditions for the existence of solitons naturally fall out of the derivation of the soliton so...

‎The water wave generation by wave paddle and a freely falling rigid body are examined by using an Incompressible Smoothed Particle Hydrodynamics (ISPH)‎. ‎In the current ISPH method‎, ‎the pressure was evaluated by solving pressure Poisson equation using a semi-implicit algorithm based on the projection scheme and the source term of pressure Poisson equation contains both of divergence free ve...

The nonlinear propagation of low-frequency circularly polarized waves in a magnetized dusty plasma is analyzed. It is found that wave steepening and shock formation can take place due to the presence of nonlinear quantum vacuum effects, thus giving rise to ultra-intense electromagnetic shocks. Moreover, it is shown that solitary wave structures are admitted even under moderate astrophysical con...

The influence of strong correlations on low frequency collective modes in a dusty plasma is investigated. The dust dynamics is modeled by the generalized hydrodynamics description. For the well known dust acoustic mode, strong correlations lead to new dispersive corrections, an overall reduction of the frequency and phase velocity and the existence of parameter regions where ]v/]k,0. A novel re...