Traveling wave solutions of the generalized nonlinear Schrödinger equation with cubic-quintic nonlinearity.

We consider traveling wave solutions of the generalized cubic-quantic Schrödinger equation used for description of the propagation pulses in optical fibers. We show that the system of equations for real and imaginary parts of dependent variable has two first integrals. These first integrals allow us to transform the system of equations to the nonlinear first-order ordinary differential equation of second power. We could not obtain the general solution of equation in general case. However we get the general solutions of equation expressing via the Weierstrass function at some additional conditions on the parameters of mathematical model. [ABSTRACT FROM AUTHOR]