Abstract
The extended nonlinear Schrödinger equation which can be used to describe the propagation of the femtosecond soliton pulse has been investigated. A type of quartic and dipole soliton solutions is constructed based on the extended nonlinear Schrödinger equation with varying third-order and fourth-order dispersions, self-steepening and Raman effects. Parameter modulation of self-similar dipole soliton in some non-uniform management systems is also discussed in detail. The results show that with different forms of four-order dispersion and nonlinear coefficients, it exhibits different propagation dynamics. Modulation of the certain parameters, the amplitude and the trajectory of self-similar dipole soliton can be manipulated.
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