Modulation stability analysis of exact multidimensional solutions to the generalized nonlinear Schrdinger equation and the Gross-Pitaevskii equation using a variational approach.
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abstract
We analyze the modulation stability of spatiotemporal solitary and traveling wave solutions to the multidimensional nonlinear Schrdinger equation and the Gross-Pitaevskii equation with variable coefficients that were obtained using Jacobi elliptic functions. For all the solutions we obtain either unconditional stability, or a conditional stability that can be furnished through the use of dispersion management.
