The Lie symmetry analysis for the study of a 1+n fourth-order Schrödinger equation inspired by modification deformation algebra in presence minimum length is applied. Specifically, we perform detailed classification scalar field potential function where non-trivial symmetries exist and simplify equation. Then, qualitative allows reduced ordinary differential to be analysed understand asymptotic...

In this paper, we use the spectral collocation method based on Chebyshev polynomials for spatial derivatives and fourth order Runge-Kutta (RK) method for time integration to solve the generalized Zakharov equation (GZE). Firstly, theory of application of Chebyshev spectral collocation method on the GZE is presented. This method yields a system of ordinary differential equations (ODEs). Secondly...

Abstract. We study numerically solutions to the Korteweg-de Vries and Camassa-Holm equation close to the breakup of the corresponding solution to the dispersionless equation. The solutions are compared with the properly rescaled numerical solution to a fourth order ordinary differential equation, the second member of the Painlevé I hierarchy. It is shown that this solution gives a valid asympto...

‎In this paper‎, ‎we introduce $alpha$-$psi$-contractive mapping in partially ordered sets and construct fixed point theorems to solve a first-order ordinary differential equation by existence of its lower solution.

<p style='text-indent:20px;'>This paper deals with the sixth-order Boussinesq equation fourth-order dispersion term and nonlinear source. By using some ordinary differential inequalities, conditions on finite time blow-up of solutions are given suitable assumptions initial values. Moreover, upper lower bounds also investigated.</p>

‎in this paper‎, ‎first we discuss a local stability analysis of model was introduced by p‎. ‎j‎. ‎mumby et‎. ‎al‎. ‎(2007)‎, ‎with $frac{gm^{2}}{m+t}$ as the functional response term‎. ‎we conclude that the grazing intensity is the important parameter to control the existence or extinction of the coral reef‎. ‎next‎, ‎we consider this model under the influence of the time delay as the bifurcat...

This paper reports a method to solve ordinary fourth-order differential equations in the form of power series and, for case regular special points, generalized series. An algorithm has been constructed and program developed MAPLE environment (Waterloo, Ontario, Canada) order equations. All types solutions depending on roots governing equation have considered. The examples are given; they compar...

Singularly perturbed two-point boundary-value problems (BVPs) for fourth-order ordinary differential equations (ODEs) with a small positive parameter multiplying the highest derivative with a discontinuous source term is considered. The given fourth-order BVP is transformed into a system of weakly coupled systems of two second-order ODEs, one without the parameter and the other with the paramet...