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nlin.PS2006★ 312 cited
Lie symmetries and solitons in nonlinear systems with spatially inhomogeneous nonlinearities
Juan Belmonte-Beitia, Victor M. Perez-Garcia, Vadym Vekslerchik +1
Using Lie group theory and canonical transformations we construct explicit solutions of nonlinear Schrodinger equations with spatially inhomogeneous nonlinearities. We present the…
nlin.PS2006★ 1 cited
On existence of dark solitons in cubic-quintic nonlinear Schrödinger equation with a periodic potential
Pedro J. Torres, Vladimir V. Konotop
A proof of existence of stationary dark soliton solutions of the cubic-quintic nonlinear Schrödinger equation with a periodic potential is given. It is based on the interpretation…