In particular, if the size and shape of the pulse are correctly related and if there is negligible attenuation, the effect of nonlinearity is to cancel that of dispersion and make the propagation of solitons
, Nonlinear Evolution Equations and Inverse Scattering, Cambridge University Press, New York, NY, USA, 1991.
58], in the strict mathematical sense  these solitary pulses are not solitons
because their interaction is not fully elastic.
The results indicate that the shape of internal solitons
is governed by the sign of the coefficient [alpha] at the quadratic term and thus internal solitons
propagating along this transect have exclusively negative polarity in winter.
In this paper, a remarkable pulse compression is realized through utilizing soliton
Finally, in the last section, we discuss the relation between the Yamabe solitons
and Ricci solitons
on three-dimensional Kenmotsu manifolds.
It has been shown in  that locally conformally flat Lorentzian gradient Ricci solitons
are locally isomorphic to a Robertson-Walker warped product, if the gradient of the potential function is nonnull, and a plane wave, if the gradient of the potential function is null, but for this later case gradient Ricci solitons
are necessarily steady.
We suppose that the coefficients a, b, c, d, e are positive and depend only on the variable x in order to focus on the influence of x-nonlinear modulations on the multicomponent solitons
of the system.
In the picosecond regime, optical solitons
are based on the balance between the group velocity dispersion and self-phase modulation .
physicist Randy Hulet expected to see in his ultracold atomic experiments, but that's what he produced by colliding pairs of BECs that were prepared in special states called solitons
Presenting their own results and results from the literature made available since their previous publications, Wen and Xiao discuss controls and interaction between multi-wave mixing (MWM) processes in hot atomic media and several novel types of spatial solitons
and two-photon fluorescence in the four-wave mixing process, which are completely new phenomena in multi-level atomic systems.
Salle: Darboux Transformation and Solitons
, Springer Press, Berlin, 1991.
The short pulses generated in the microresonator are known as optical solitons
(example tsunami wave).
Many novel features of the nonlocal nonlinearity such as the suppression of collapse  and the support of vortex solitons
[2,3] have been found.
Unfortunately, neither this nonlinear capacitor nor the NLR with cubic nonlinearity introduced by Comte and Marquie  to compactify kink solitons
may be used to create compact electrical pulse signal in the NLTL.