Modified Korteweg-De Vries Equation And Schward Derivative

Attia A.H .Mostafa, Anis I.F .Saad

The third order PDE which describes the nonlinear shallow water wave equation has been interested since Scott Russel (1844) [1]. In this work we study this kind of equation (mKDV), through our study we find that even if the (mKDV) equation does not pass Painleve test but by using Schwarzian Derivative techinque, we were able to find analytic solution. Also we support this study by some figures that to describe the behavior of (mKDF) equation.

https://dx.doi.org/10.31873/IJEAS.6.9.27