Dissipative Kerr cavity solitons experience a so-called self-frequency shift (SFS) as a result of Raman interactions. The frequency shift has been observed in several microcavity systems. The Raman process has also been shown numerically to influence the soliton pumping efficiency. Here, a perturbed Lagrangian approach is used to derive simple analytical expressions for the SFS and the soliton ...

We report on the soliton trapping in a fiber ring laser modelocked with a SESAM. It was observed that solitons along the two orthogonal polarization directions of the cavity with fairly large difference in central frequency and energy could be coupled together to form a group velocity locked vector soliton. In particular, due to that each of the coupled solitons forms its own soliton sidebands,...

Quantum photon-number fluctuation and correlation of bound soliton pairs in mode-locked fiber lasers are studied on the basis of the complex Ginzburg-Landau equation model. We find that, depending on their phase difference, the total photon-number noise of the bound soliton pair can be larger or smaller than that of a single soliton, and the two solitons in the soliton pair have a corresponding...

The adiabatic parameter dynamics of 1-soliton solution of the generalized fifth-order nonlinear equation is obtained by virtue of the soliton perturbation theory. The adiabatic change of soliton velocity is also obtained in this paper.

The reductive perturbation technique is used to obtain the Modified KP equation at critical densities distinguished by MKPE in plasma ion pair with fast electron positron. new structures reveal that super-solitary and period waveforms are derived via mathematical analysis of Jacobi-elliptic function expansions (MJEFE) for MKPE. electrostatic such as super-soliton, cnoidals, shock-like, super-di...

We present a simple and constructive method to find $N$-soliton solutions of the equation suggested by Davydova Lashkin describe dynamics nonlinear ion-cyclotron waves in plasma subsequently known (in more general form as applied optics) Fokas-Lenells equation. Using classical inverse scattering transform approach, we bright solutions, rational mixture exponential functions. Explicit breather a...

The effects of interchain coupling on solitons and soliton lattice structures in CuGeO3 are explored. It is shown that interchain coupling substantially increases the soliton width and changes the soliton lattice structures in the incommensurate phase. It is proposed that the experimentally observed large soliton width in CuGeO3 is mainly due to interchain coupling effects. 75.10-b, 75.10Jm, 75...