L. Berge et al., DYNAMICS OF LOCALIZED SOLUTIONS TO THE RAMAN-EXTENDED DERIVATIVE NONLINEAR SCHRODINGER-EQUATION, Journal of physics. A, mathematical and general, 29(13), 1996, pp. 3581-3595
Using virial estimates we study the temporal evolution of localized so
lutions to the Raman-extended derivative nonlinear Schrodinger (R-EDNL
S) equation, with a particular emphasis on collapse and non-collapse.
By means of a Lagrangian approach, we investigate the possibility of r
ealizing a finite-time self-similar collapse as it appears in solution
s to the usual critical nonlinear Schrodinger (CNLS) equation.