A generalized model for description of propagation pulses in optical fiber

摘要: Abstract We consider the mathematical model with arbitrary power of nonlinearity which is described by generalized Schrodinger equation. The Cauchy problem for this equation not solved inverse scattering transform and we use traveling wave reduction nonlinear partial differential Using solutions find first integrals system equations corresponding to real imaginary parts profile pulse a complex function. reduced means transformations first-order ordinary expressing via Weierstrass Jacobi elliptic functions. influence degree on structure periodic solitary waves studied. It demonstrated that allows control amplitude length waves.