In this paper, the Boiti–Leon–Pempinelli system in (2+1)-dimensions is revisited for Lie symmetries and invariant solutions. An infinite dimensional algebra obtained using invariance criterion further classified into one, two three-dimensional optimal list of subalgebras. We obtain new explicit exact solutions involving arbitrary functions that have been missed previous work (Kumar et al. Compu...

The research deals with the stationary flow of an inhomogeneous incompressible fluid inside a spherical vessel under influence potential mass force. Using methods four-dimensional analysis, solution to problem is constructed in explicit analytical form. Exact solutions Euler equations for homogeneous are obtained only some simplest problems. Researchers usually prove existence and uniqueness va...

‎this paper obtains the exact solutions of the wave equation as a second-order partial differential equation (pde)‎. ‎we are going to calculate polynomial and non-polynomial exact solutions by using lie point symmetry‎. ‎we demonstrate the generation of such polynomial through the medium of the group theoretical properties of the equation‎. ‎a generalized procedure for polynomial solution is pr...

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...

In recent years, numerous approaches have been utilized for finding the exact solutions to nonlinear partial differential equations. One such method is known as the new extended (G'/G)-expansion method and was proposed by Roshid et al. In this paper, we apply this method and achieve exact solutions to nonlinear partial differential equations (NLPDEs), namely the Benjamin-Ono equation. It is est...

Abstract We define solitons for the generalized Ricci flow on an exact Courant algebroid. then a family of flows left-invariant Dorfman brackets algebroid over simply connected nilpotent Lie group, generalizing bracket in way that might make this new useful study geometric such as flow. provide explicit examples both constructions Heisenberg group. also discuss solutions to

Interval methods for solving problems in differential equations and their implementation in floating-point interval arithmetic are interesting due to interval-solutions obtained which contain not only the errors of methods, but also all possible numerical errors. Such methods have been analyzed in a number of papers and monographs (see e.g. [1], [5], [9], and [10]). In our previous papers expli...