TY - JFULL AU - Sarun Phibanchon and Michael A. Allen PY - 2012/2/ TI - Instability of Soliton Solutions to the Schamel-nonlinear Schrödinger Equation T2 - International Journal of Physical and Mathematical Sciences SP - 17 EP - 20 VL - 6 SN - 1307-6892 UR - https://publications.waset.org/pdf/10680 PU - World Academy of Science, Engineering and Technology NX - Open Science Index 61, 2012 N2 - 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. ER -