We present conceptual models for fundamental logic gates using solitons as bit pulses in the Toda lattice. The transmission rate of the soliton is controllable by another soliton and the control of the soliton transmission is applicable to a NOT gate. Two-input system with appropriate transmission filters were constructed to realize AND and OR gates. We numerically demonstrated the soliton tran...

We analytically demonstrate the existence of white light solitons in logarithmically saturable noninstantaneous nonlinear media. This incoherent soliton has elliptic Gaussian intensity profile, and elliptic Gaussian spatial correlation statistics. The existence curve of the soliton connects the strength of the nonlinearity, the spatial correlation distance as a function of frequency, and the ch...

We study the formation of dark-bright vector soliton pairs in nonlocal Kerr-type nonlinear medium. We show, by analytical analysis and direct numerical calculation, that in addition to stabilize of vector soliton pairs nonlocal nonlinearity also helps to reduce the threshold power for forming a guided bright soliton. With help of the nonlocality, it is expected that the observation of dark-brig...

The recovery of the self-frequency shift effect on a soliton by optical phase conjugation is investigated. It is proved that, without third-order dispersion and fiber loss, the soliton self-frequency shift can be completely recovered. The recoveries for a fundamental soliton and a second-order soliton in the presence of third-order dispersion and of fiber loss, which is compensated by the distr...

We develop a nonlinear theory of soliton-induced waveguides that describe a finite-amplitude probe beam guided by a spatial dark soliton in a saturable nonlinear medium. We suggest an effective way to control the interaction of these soliton-induced waveguides and also show that, in sharp contrast with scalar dark solitons, the dark-soliton waveguides can attract each other and even form statio...

The solution to the Davey–Stewartson I equation is analyzed to show that the resonance between periodic soliton and growing-and-decaying mode exists. Under the quasi-resonant condition, the mode develops first in the one side region of the periodic soliton. The periodic soliton is accelerated as a result of the growth and decay of the mode existed in the region and the wave field shifts to the ...

A dark soliton becomes unstable when it is incident on a background density gradient, and the induced instability results in the emission of sound. Detailed quantitative studies of sound emission are performed for various potentials, such as steps, linear ramps and gaussian traps. Continuous emission of sound is found to lead to an apparent deformation of the soliton profile. The power emitted ...

Non-adiabatic pulse compression of cascaded higher-order optical soliton is investigated. We demonstrate high degree compression of pulses with soliton orders N=2, 3, 4, and 5 in two or three nonlinear fibers with different second-order dispersion coefficients. Each fiber length is shorter than half of its soliton period. This compression technique has significant advantages over the widely rep...

Feynman rules are derived for computing quantum corrections to the mass of a soliton in quantum field theory. These rules exhibit a finite propagator, but in contrast to previous methods, no additional effective vertices are introduced beyond those present in the original shifted Lagrangian. The derivation is based on imposing end-point boundary conditions appropriate to a soliton state on the ...

Optical soliton pulses offer great promise as a means for transmitting high data rate information in optical fibers over trans-oceanic distances. This thesis addresses two aspects of optical soliton communication. First, soliton propagation in the presence of a small-signal background continuum is discussed. It is essential to examine soliton-continuum interaction as it may lead to timing jitte...