Abstract
The propagation of femtosecond light pulse in nonlinear medium is described by nonlinear Schrodinger equation with temporal derivation from nonlinear response. Properties of this equation are investigated and obtained invariants of the femtosecond pulse propagation in nonlinear medium. The transformation of this equation to a more convenient form is proposed. Various problems of nonlinear optics are considered with the aim of applying of proposed transformation. The transformation of Schrodinger equation allows creating of conservative difference schemes for computer simulation of an interaction of femtosecond laser pulse with matter. These schemes make soliton solution of nonlinear SChrodinger equation with temporal derivation from nonlinear response.
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