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Spectral transverse instabilities and soliton dynamics in the higher-order multidimensional nonlinear Schrödinger equation
2015
Physica D : Non-linear phenomena
Spectral transverse instabilities of one-dimensional solitary wave solutions to the two-dimensional nonlinear Schrödinger (NLS) equation with fourth-order dispersion/diffraction subject to higher-dimensional perturbations are studied. A linear boundary value problem governing the evolution of the transverse perturbations is derived. The eigenvalues of the perturbations are numerically computed using Fourier and finite difference differentiation matrices. It is found that for both signs of the
doi:10.1016/j.physd.2015.09.005
fatcat:soxsz6s6yzhirjpwbrfeiavvzi