Spatiotemporal Similaritons in (3+l)-Dimensional Inhomogeneous Nonlinear Medium with Cubic-Quintic Nonlinearity

We obtain exact spatiotemporal similaritons to a （3＋ l）-dimensional inhomogeneous nonlinear Schrodinger equation, which describes the propagation of optical pulses in a cubic-quintic nonlinearity medium with distributed dispersion and gain. A one-to-one correspondence between such self-similar waves and solutions of the elliptic equation is found when a certain compatibility condition is satisfied. Based on exact solutions, we discuss evolutional behaviors of self-similar cnoidal waves and chirped similaritons in two kind of typicai soliton control systems. Moreover, the comparison between chirped similaritons and chirp-free solitons is given.

Wavelength-tunable mode-locked fiber laser based on an all-fiber Mach-Zehnder interferometer filter

Wavelength-tunable dissipative solitons and amplifier similaritons have been obtained by inserting all-fiber Mach-Zehnder interferometer(MZI) filters with different free spectral ranges(FSRs) in a Yb-doped mode-locked fiber laser.The MZI filter is fabricated by splicing one segment of seven-core fiber(SCF) between two segments of single-mode fibers.The bandwidth of the filter depends on the FSR of the modulated interference curve and consequently depends on the tapered fiber diameter.Inserting MZI filters with bandwidths in a fiber laser and applying a tensile strain on the tapered SCF,both wavelengthtunable dissipative solitons and amplifier similaritons have been obtained.

73 nJ, 109 fs Yb-doped fiber laser at 19 MHz repetition rate in amplifier similariton regime

We report femtosecond pulse generation in an amplifier similariton oscillator and a prechirped fiber amplifier system. The final output power is 1.4W, and the fundamental repetition rate is 19.1 MHz after a single state fiber amplifier. The pulsewidth is 109 fs.

Similariton regularized waves solutions of the(1+2)-dimensional non-autonomous BBME in shallow water and stability

The oscillatory motion on the ocean surface is a combination of a variety of different types of waves.The regularized waves are among them.Here,it is shown that they arise as solutions of the(1+2)-dimensional Benjamin-Bona-Mahony equation(BBME).Numerous works on(1+1)-dimensional BBME were carried in the literature.In this paper,we consider the(1+2)-dimensional non-autonomous BBME,with time-dependent coefficients.The model equation is completely new.Our objective is to find the exact solutions and investigate the relevant phenomena.To solve this issue,the extended unified method is used to find the exact solutions in the form of semi-self similar and self similar solutions.To solve this issue,simi-larity transformations are introduced.Here,the generalized unified methods(GUM)are also used in the symbolic computations.The numerical results of these solutions are evaluated and are shown graphically.Different wave patterns of regularized waves in shallow water,near ocean shores,are observed.Oscilla-tory waves and vector of lumps with troughs are shown.The time-dependent coefficients are used,here,to control the different wave patterns that take the forms of the multi-U shaped wave with basins with a trough.Further pattern formation occurs,which is in the form of two layers of lumps with troughs.Wave tunneling is also observed.These waves patterns are novel.The stability of the steady state solutions is analyzed.It is found that the stability depends significantly on the dispersion coefficient.