Soliton solutions to resonant nonlinear Schrödinger’s equation with time-dependent coefficients by trial solution approach

Soliton solutions to resonant nonlinear schrodinger's equation with time-dependent coefficients by modified simple equation method

“…The cubic nonlinearity is the case when G(s) = s. This form of nonlinearity typically arises in the context of deep water waves or nonlinear fiber optics when the refractive index of the light is proportional to the intensity. For cubic nonlinearity, RNLS equation with time-dependent coefficients is [1][2][3][4][5][6][7][8][9] iψ…”

“…Theory of solitons forms the basic fabric in all optical communication systems. There are several developments and advancements that are observed currently [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20]. A large variety of results are being relentlessly reported across various journals throughout the globe.…”

“…One of the interesting models that will be revisited in this paper is the resonant nonlinear Schrödinger's equation (RNLSE). While NLSE is well known to describe the propagation of solitons through optical fibers, RNLSE comes with an additional quantum Hall effect [1][2][3][4][5][6][7][8][9].…”

Solitons in Nonlinear Directional Couplers with Optical Metamaterials by Trial Function Scheme

“…Optical solitons are key elements in fiber-optic communication across trans-continental and trans-oceanic distances [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20]. The dynamics of these soliton molecules are present in various optical devices such as optical fibers, crystals, metamaterials and metasurfaces, DWDM systems, couplers, magneto-optic waveguides and several others.…”

Single and combined optical solitons with third order dispersion in Kerr media

“…These soliton molecules are basic ingredients for information transfer, through optical fibers for trans-continental and trans-oceanic distances [1][2][3][4][5][6][7][8][9][10][11][12][13][17][18][19][20][21]. Therefore, it is imperative to address the dynamics of these soliton pulses from a mathematical perspective.…”