in this paper, elzaki homotopy perturbation method is employed for solving linear and nonlinear differential equations with a variable coffecient. this method is a combination of elzaki transform and homotopy perturbation method. the aim of using elzaki transform is to overcome the deficiencies that mainly caused by unsatised conditions in some semi-analytical methods such as homotopy perturbat...

We present a novel $n$EPT ($n$th-order Eulerian Perturbation Theory) scheme to model the nonlinear density field by summation up $n$th-order fields in perturbation theory. The obtained analytical power spectrum shows excellent agreement with results from all 20 Dark-Quest suites of $N$-body simulations spreading over broad range cosmologies. is much better than conventional two-loop Standard Th...

In this present study the double layers structure model of extended Korteweg-de Vries(K-dV) equation will be obtained with the help of the reductive perturbation method, which admits a double layer structure in current plasma model. Then by using of new analytical method we obtain the new exact solitary wave solutions of this equation. Double layer is a structure in plasma and consists of two p...

here, a new method called aboodh transform homotopy perturbation method(athpm) is used to solve nonlinear partial dierential equations, we presenta reliable combination of homotopy perturbation method and aboodh transformto investigate some nonlinear partial dierential equations. the nonlinearterms can be handled by the use of homotopy perturbation method. the resultsshow the eciency of this...

B. Mohan Babu 1 , Satish R. Inamdar 2 , I.A. Karimi (Speaker) and B.D. Kulkarni 1 Department of Chemical & Biomolecular Engineering National University of Singapore, Singapore 117576 2 Department of Chemical Engineering, Vishwakarma Institute of Technology 666, Upper Indiranagar, Bibwewadi, Pune 411 037, INDIA 3 Chemical Engineering Division, National Chemical Laboratory Dr Homi Bhabha Road, Pu...

In this work, we extended the application of ”the modified reductive perturbation method” to symmetrical regularized long waves with quadratic nonlinearity and obtained various form of KdV equations as the governing equations. Seeking a localized travelling wave solutions to these evolution equations we determined the scale parameters g1 and g2 so as to remove the possible secularities that mig...

Abstract The small amplitude ion-acoustic solitary waves in the magneto-rotating plasma consisting of cold fluid ions, hot positrons, and two-temperature electrons (cold electrons) are investigated when obey a modified Cairns-Tsallis distribution. By using reductive perturbation method, we derive Korteweg–de Vries equation obtain wave solutions. dependences solutions on nonextensive q -paramete...

The nonlinear propagation of different types DANW acoustic dust waves has been investigated in a magnetized dusty plasma consisting negatively charged particles, Maxwellian electrons, and ions. Application the standard reductive perturbation theory is used to derive corresponding three-dimensional complex Ginzburg–Landau (3D-CGLE) equation which governs dynamics dust-acoustic wave packets. stat...

A new formalism for the derivation of cnoidal wave solution is presented by introducing a set initial conditions and subacoustic moving frame. The resulting solutions also constructed in way that ensures conservation number density. are illustrated variety graphical representations, effect amplitude's magnitude on form presented. Interestingly, it shown wavelength decreases with amplitude. In a...