(indefinite)integralof the functiony=x2, and it is written as ∫x2dx. The initial symbol ∫ is an elongated S, which stands for sum, anddxindicates an infinitely small increment of the variable, or axis, over which the function is being summed. Leibniz introduced this because he thought...
The third law of thermodynamics.The entropy of a perfectcrystalof anelementin its most stable form tends to zero as the temperature approachesabsolute zero. This allows an absolute scale for entropy to be established that, from astatisticalpoint of view, determines the degree of randomness or dis...
Fractional calculusFractional 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...do...
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 ...
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
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...
As regards our investigation, this form of the equation has not been studied with thepower law nonlinearity in the absence of the chromatic dispersion for nonlinear models andthe proposed method has not been applied the introduced equation before. It is expectedthat the consequences which are ...
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