Optical solitons with log-law nonlinearity

Optical soliton perturbation with full nonlinearity in non-Kerr law media

“…Also, this serves as a basic model to describe the solitons in photovoltaic-photorefractive materials such as LiNbO 3 . In this case, F (s) = s p + k 2 s 2p so that the NLSE with dual-power law of nonlinearity is given by [1,7] iq t + 1 2 q xx + |q| 2n + k 2 |q| 4n q = 0 (67) Equation (67) supports solitary waves of the form [5] q(x, t) = A…”

“…The advantage of this model is that the radiation from the periodic soliton is absent as the linearized problem has a discrete spectrum only. In this case, F (s) = log s so that the NLSE with log law nonlinearity is given by [3] iq t + 1 2 q xx + q log |q| 2 = 0 (82) whose 1-soliton solution is given by…”

Optical Solitons with Higher Order Dispersion in a Log Law Media

“…The perturbed NLSE with log law nonlinearity, in presence of higher order dispersion terms, that is going to be studied in this paper is given by [4,6] iq t + aq xx + bq ln |q| 2 = i (−γ q xxx + σ q xxxx + ψq xxxxxx )…”

Optical Soliton Perturbation With Log Law Nonlinearity by He's Semi-Inverse Variational Principle

“…Subsequently, it will be applied to carry out the integration of (2). The starting point is the solitary wave ansatz that is given by 2,6 q(…”

“…[1][2][3][4][5][6][7][8][9][10] In fact optical solitons are now out of the lab stage and is a reality in many continents. Optical solitons now do propagate over transcontinental and transoceanic distances through underwater optical fibers.…”