تحليل الاستقرارية للحلول اللازمنية لمعادلة Sine-Gordon

الملخص EN

The stability analysis of steady state solutions of Sine–Gordon equation using Fourier mode stability analysis in two cases has been considered : Firstly when the amplitude is constant and secondly when the amplitude is variable in the two cases the results were found to be : The steady state solutions u , 3 , 5 ,...

1 = +p + p + p and u u (X) , 1 X 1 1 = 1 - £ £ are unconditionally stable .

In the second case the comparison between the analytical solution and the numerical solution of Galerkin technique has been done .

This comparison showed that the analytical solution and the numerical solution of Galerkin technique are the same .