%0 Journal Article %A Sarun Phibanchon and Michael A. Allen %D 2012 %J International Journal of Physical and Mathematical Sciences %B World Academy of Science, Engineering and Technology %I Open Science Index 61, 2012 %T Instability of Soliton Solutions to the Schamel-nonlinear Schrödinger Equation %U https://publications.waset.org/pdf/10680 %V 61 %X A variational method is used to obtain the growth rate of a transverse long-wavelength perturbation applied to the soliton solution of a nonlinear Schr┬¿odinger equation with a three-half order potential. We demonstrate numerically that this unstable perturbed soliton will eventually transform into a cylindrical soliton. %P 18 - 20