Abstract

Using virial estimates we study the temporal evolution of localized solutions to the Raman-extended derivative nonlinear Schrodinger (R-EDNLS) equation, with a particular emphasis on collapse and non-collapse. By means of a Lagrangian approach, we investigate the possibility of realizing a finite-time self-similar collapse as it appears in solutions to the usual critical nonlinear Schrodinger (CNLS) equation.

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