@article{(Open Science Index):https://publications.waset.org/pdf/10680,
	  title     = {Instability of Soliton Solutions to the Schamel-nonlinear Schrödinger Equation},
	  author    = {Sarun Phibanchon and  Michael A. Allen},
	  country	= {},
	  institution	= {},
	  abstract     = {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.
},
	    journal   = {International Journal of Physical and Mathematical Sciences},
	  volume    = {6},
	  number    = {1},
	  year      = {2012},
	  pages     = {18 - 20},
	  ee        = {https://publications.waset.org/pdf/10680},
	  url   	= {https://publications.waset.org/vol/61},
	  bibsource = {https://publications.waset.org/},
	  issn  	= {eISSN: 1307-6892},
	  publisher = {World Academy of Science, Engineering and Technology},
	  index 	= {Open Science Index 61, 2012},
	}