Perturbative renormalization group theory is developed as a unified tool for global asymptotic analysis. With numerous examples, we illustrate its application to ordinary differential equation problems involving multiple scales, boundary layers with technically difficult asymptotic matching, and WKB analysis. In contrast to conventional methods, the renormalization group approach requires neith...

We investigate cylindrical and spherical solitons in electron-ion (EI) plasma that contains hot (cold) electrons with stationary ions. The magneto-hydrodynamic equations are solved the aid of reductive perturbation (RP) technique, leading to modified Korteweg–De Vries (mKdV) equation for non-linear behaviour solitary waves EI plasma. By employing reduced differential transform method (RDTM), an...

Perturbative renormalization group theory is developed as a unified tool for global asymptotic analysis. With numerous examples, we illustrate its application to ordinary differential equation problems involving multiple scales, boundary layers with technically difficult asymptotic matching, and WKB analysis. In contrast to conventional methods, the renormalization group approach requires neith...

by means of he's homotopy perturbation method (hpm) an approximate solution of velocity eld is derived for the ow in straight pipes of non-newtonian uid obeying the sisko model. the nonlinear equations governing the ow in pipe are for- mulated and analyzed, using homotopy perturbation method due to he. furthermore, the obtained solutions for velocity eld is graphically sketched and compared w...

Perturbation of the gated-synchrony system in yeast with phenelzine, an antidepressant drug used in the treatment of affective disorders in humans, leads to a rapid lengthening in the period of the genome-wide transcriptional oscillation. The effect is a concerted, genome-scale change in expression that is first seen in genes maximally expressed in the late-reductive phase of the cycle, doublin...

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 ...

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...