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It is a fortunate fact that optical solitons on the same carrier do not overtake one another in the way that solitons in a canal do.
Hirota, "Exact solution of the korteweg--de vries equation for multiple collisions of solitons," Physical Review Letters, vol.
On the problem of periodicity and hidden solitons for the KdV model.
Consequently, internal solitons of both polarities may exist in this region in summer months.
Broadband self-pulsating fiber laser based on soliton self-frequency shift and regenerative self-phase modulation," Opt.
Ghosh, Kenmotsu 3-metric as a Ricci soliton, Chaos, Solitons Fractals, 44 (2011), 647-650.
Onda, "Lorentz Ricci solitons on 3-dimensional Lie groups," Geometriae Dedicata, vol.
also proved the existence of vector solitons of the system above, in the case that the inhomogeneous coefficients a, b, c, and d have compact support and e [equivalent to] 0 and 8 = 0.
Thus, we will seek multisolitons, breathers, and collisions between several solitons, respectively, via the Hirota method introduced in [37] and describing the propagation characteristics with figures in the next section.
He added that one can generate a single stable soliton circulating inside a microresonator and in the output optical fiber, one can obtain a periodic series of pulses with a period corresponding to a round trip time of the soliton.
Biswas, "Optical solitons with parabolic and dual-power nonlinearity via lie symmetry analysis," Journal of Electromagnetic Waves and Applications, Vol.