Instability of Soliton Solutions to the Schamel-nonlinear Schrödinger Equation
نویسندگان
چکیده
A variational method is used to obtain the growth rate of a transverse long-wavelength perturbation applied to the soliton solution of a nonlinear Schrödinger equation with a three-half order potential. We demonstrate numerically that this unstable perturbed soliton will eventually transform into a cylindrical soliton. Keywords—soliton, instability, variational method, spectral method
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