Abstract
The Biswas-Milovic equation for description of pulse propagation in optical fiber is considered. Solutions of the equation are looked for using the traveling wave reduction. The first integrals for a system of equations are found. These first integrals allow us to reduce the system of equations to nonlinear first-order differential equation. The general solution of first-order differential equation with three arbitrary constants is presented in the form of a quadrature. The parameter values of the equation are given for which the general solution is written in an analytical form via elementary functions and the Weierstrass and Jacobi elliptic functions.
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