EXACT TRAVELING-WAVE SOLUTIONS FOR A GENERALIZED NONLINEAR SCHRODINGER-EQUATION

A wide class of exact travelling wave solutions of a generalized nonli near Schrodinger equation (GNLS) is obtained and analysed in detail. T his class of solutions incorporates bright and dark solitary waves, pe riodic waves, unbounded waves and other solitary waves as asymptotic l imits of the periodic or unbounded modes. The method of analysis adopt ed is based on reducing the GNLS to an ordinary differential equation and studying the phase plane of the resulting dynamical system. Applic ation of the obtained results to the problem of propagation of femtose cond duration pulses in nonlinear optical fibres is also discussed.