Electrified Fluctuations in D1$\mathrm{\perp }$D3 and D1$\mathrm{\perp }$D5 Systems

We present the physical phenomenon of the subject discussed in the paper \cite{fluc}. In that paper we dealt with the fluctuations of funnel solutions of intersecting D1 and D3 branes and the electric field $E$ was considered as very high value causing the results to be non-physical. In the present work, the variation interval of $E$ is to be $[0,\frac{1}{\lambda }[$. Then, we extend the study to discuss the overall transverse fluctuations of electrified funnel solutions of D1$\mathrm{\perp }$D5 system in the flat background. The boundary conditions are found to be Neumann boundary conditions.