Tanner's LawIn this paper, we describe for the first time the properties of the general solution to the third-order ordinary differential equation y''' = ywhich is important in the study of thin viscous films with surface tension. This solution is then used to solve exactly a problem ...
Fractional nonlinear Sasa-Satsuma equationBrightDark and singular solitonsKerr law nonlinearityOptical and Quantum Electronics - A new fractional-order derivative operator is presented and applied to nonlinear Sasa-Satsuma equation having Kerr nonlinearity law with third-order dispersion...doi...
In this paper, we use finite difference method to solve the third order viscous wave equationOganga, Duncan OOkoya, Michael OAway, Shem OLawi, George ONthiiri, Joyce K
Second, the impacts of power law nonlinearity parameters onsoliton attitude are investigated for acquired bright soliton form. With the proposed technique,the bright optical soliton solution is acquired, and 3D, contour, and 2D plots aredepicted. Then, the impact of power law nonlinearity parameters...
In this paper, we obtain optical soliton solutions for non-Kerr law nonlinear Schr?dinger equation (NLSE) with third order (3OD) and fourth order dispersions (4OD). We will use two integration schemes, namely sin-cosine method and Bernoulli's equation approach with five laws of nonlinearities...
SolitonsIntegrabilityIn this paper, we obtain optical soliton solutions for non-Kerr law nonlinear Schrodinger equation (NLSE) with third order (3OD) and fourth order dispersions (4OD). We will use two integration schemes, namely sin-cosine method and Bernoulli's equation approach with five laws...
Independently, Newton and Leibniz established simple rules for finding the formula for the slope of the tangent to a curve at any point on it, given only a formula for the curve. The rate of change of a functionf(denoted byf′) is known as itsderivative. Finding the formula of the deriv...
Our current work was inspired by the well-known leapfrog method [11] used by the molecular dynamics community to solve Newton’s equations of motion. In their books, Hockney and Eastwood [12] (p. 28) and, later, Frenkel and Smit [13] (p. 75) introduced this method in the following ...
Our current work was inspired by the well-known leapfrog method [11] used by the molecular dynamics community to solve Newton’s equations of motion. In their books, Hockney and Eastwood [12] (p. 28) and, later, Frenkel and Smit [13] (p. 75) introduced this method in the following ...
Cookies are small text files that can be used by websites to make a user's experience more efficient.The law states that we can store cookies on your device if they are strictly necessary for the operation of this site. For all other types of cookies we need your permission.This site us...