Bending of optical solitonic beams modeled by coupled KMN equation

Abstract

The dynamics of (2 + 1) dimensional optical solitonic beams modelled by coupled Kundu Mukherjee Naskar (KMN) equation, is discussed by deriving one bright and one dark soliton solutions. The arbitrary bending of solitonic beams of this coupled system has been described by exact curved soliton solutions having an arbitrary function. Such exact analytical results on the bending of solitonic pulse in a bimodal optical fiber system may pave new directions of research in this field.

WITHDRAWN: Atypical shaped (2+1) dimensional solitons in optical nanofibers

“…with constant frame velocity v [34,35]. In order to find the atypical shaped solitons such as single hump (U shaped), double hump (W shaped), triple hump solitons etc., we use the following ansatz :…”

“…[12]. It should be noted that the KMN equation has a unique (which depend on the wave profile and its derivative) nonlinear term [12,34,35] that is different from the Kerr like nonlinearity of the Nonlinear Schrodinger equation [1]. Also, the equation obeys Galilean covariance [34] like other integrable systems.…”

“…Here, different shapes are generated due to the arbitrary nonlinear function present in the particular solution of KMN equation. In our earlier works [34,35], some curved solitons has been discussed. But the atypical W shaped, U shaped, 3 hump shaped solitons are new in the field of integrable system and has not been explored before as our study goes.…”