%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