Transition from bird to butterfly shaped nonautonomous soliton and soliton switching in erbium doped resonant fiber

Abstract

Through theoretical approach, two soliton solutions for nonautonomous inhomogeneous nonlinear Schrödinger - Maxwell Bloch (INLS-MB) equation is attained with the aid of Darboux transformation technique. Based on obtained solutions, bird and butterfly like wave pattern are attained for the specific choice of inhomogeneous coefficients. Especially, by means of dispersion management scheme, exponential profile is adopted for the dispersion coefficient in the governing two soliton solutions. Also, through the appropriate choices of control parameters in inhomogeneous function, the transition from bird shaped to butterfly shaped pulse is observed astoundingly. Finally, nonautonomous soliton switching achieved through soliton fission and fusion phenomenon which could be observed via properly manipulating dispersion and nonlinearity parameters. The obtained analytical results and graphical illustrations are may helpful for the design of soliton control system in fiber optic communication and soliton based optical switching.

Optical Solitons for the Dispersive Concatenation Model: Undetermined Coefficients

“…The stochastic aspect of the solitons with the inclusion of white noise will be later studied. These topics and much more are in the pipeline and the results of such research activities will be available after connecting (34) (35) (36) them with the pre-existing ones [11,12].…”

“…Later during 2015, this model was extended with a dispersive component added to it and is being referred to as the dispersive concatenation model [3][4][5]. The physical application of the proposed model is to study the dynamics of solitons that propagate through single-mode fibers across trans-oceanic and trans-continental distances [26][27][28][29][30][31][32][33][34].…”

The quasi-Gramian solution of a non-commutative extension of the higher-order nonlinear Schrödinger equation

“…The nonlinear Schrödinger (NLS) equation, which incorporates higher-order dispersive terms, is widely used in the theoretical analysis of various physical phenomena, including nonlinear optics, molecular systems, and fluid dynamics [1][2][3][4][5]. With the addition of fourth-order terms, known as the Lakshmanan-Porsezian-Daniel (LPD) equation, it describes higher-order molecular excitations with quadruple-quadruple coefficients and possesses integrability [6][7][8].…”

A class of nonlinear wave patterns for (2+1) dimensional coupled integrable Maccari’s system

“…Researchers have been working tirelessly to create efficient ways for solving nonlinear evolution equations; these approaches include variable separation approach [1], Inverse scattering transform method [2], Darboux transformation [3], Hirota bilinear method [4], Lie symmetry method [5], Bäcklund transformation [6], and Truncated Painlevé Approach [7]. Localized coherent structures such as solitons [8,9], lumps [10], dromions [11], rogue waves [12], and breathers [13] could be constructed from the solution, and the collisional dynamics of the wave pattern can be analyzed.…”