@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}, }