This paper aims to study the fractional differential systems arising in warm plasma, which exhibits traveling wave-type solutions. Time-fractional Korteweg-De Vries (KdV) and time-fractional Kawahara equations are used analyze cold collision-free magnet-acoustic waves shock wave formation respectively. The decomposition method is solve proposed equations. Also, convergence uniqueness of obtaine...

In this study, we establish exact solutions of fractional Kawahara equation by using the idea of [Formula: see text]-expansion method. The results of different studies show that the method is very effective and can be used as an alternative for finding exact solutions of nonlinear evolution equations (NLEEs) in mathematical physics. The solitary wave solutions are expressed by the hyperbolic, t...

Near-wall turbulence in the buffer region is qualitatively characterized in terms of recentlyfound nonlinear three-dimensional solutions to the incompressible Navier–Stokes equation for wall-bounded shear flows. Jiménez & Simens’ (2001) traveling-wave solution for an autonomous wall flow, Nagata’s (1990) steady and Kawahara & Kida’s (2001) periodic solutions for a plane Couette flow are conside...

The manuscript solves a modified Kawahara equation (mKE) within two cases with and without damping term by applying the Laplace homotopy perturbation method (LHPM). Since damped mKE is non-integrable (i.e., it does not have analytic integrals) exact initial conditions, this challenge makes many numerical methods fail to solve equations. In article, we suggested new modification at LHPM setting ...

A generalization of the KP equation involving higher-order dispersion is studied. This appears in several physical applications. As new results, Lie point symmetries are obtained and used to derive conservation laws via Noether's theorem by introduction a potential which gives Lagrangian formulation for equation. The meaning properties conserved quantities described. Explicit line soliton solut...

In this article, we prove that the ⟨p,q⟩ condition holds, first by using Fuchs index of complex Kawahara equation, and then proving all meromorphic solutions equations belong to class W. Moreover, method is employed get equation traveling wave exact equation. Our results reveal rational ur(x+νt) simply periodic us,1(x+νt) are solitary solutions, while us,2(x+νt) not real-valued. Finally, comput...