Optical solitons for higher-order nonlinear Schrödinger’s equation with three exotic integration architectures

New explicit and exact traveling waves solutions to the modified complex Ginzburg Landau equation

“…Beside, using an adequate parameters of the model, some additional results are obtained such as dark and an additional jacobian elliptic function solutions compared to [19,20]. These results are very important in diverse field such as optic fibers, ocean engineering, fluid mechanics, biology and so on [20][21][22][23]. Between others, it should be emphasized that, without using computer codes, the obtained results are comparatively look the same with those investigated by adopting several integration technics in refs.…”

Diverse chirped optical solitons and new complex traveling waves in nonlinear optical fibers

“…Thus, exact optical solitons in metamaterials with dispersive permeability have been reported by [13][14][15]. Recently, some authors have investigated optical solitons for higher-order nonlinear Schrödinger's equations, describing a sub-picosecond pulse propagation in nonlinear metamaterials with cubic-quintic nonlinearity and fourth-order dispersion [12]. This work aims to study chirped optical solitons for the cubic nonlinear Schrödinger's equation (CNLSE), describing a sub-picosecond pulse propagation in a nonlinear metamaterial with Kerr dispersion, low group velocity dispersion (GVD) and Kerr nonlinearity.…”

“…Over the last five years, a handful of categories of solitons like traveling-wave solutions and array breathers have been reported in the literature, such as variable sinh-Gaussian solitons, dark-combo solitons, soliton pairs, bright solitons, complexiton solitons, Gaussian-shaped solitons and singular solitons [1][2][3][4][5][6][7][8][9][10][11][12]. In addition, one of the environments that have shown themselves favorable to the propagation of these optical solitons is metamaterials.…”

Solitons solutions of nonlinear Schrödinger equation in the left-handed metamaterials by three different techniques

“…Recently, some effective methods for getting solitons solutions in LHMs and optics has attracted many researchers attention because of soliton theory which is a very important and fascinating area of research in nonlinear left-handed metamaterials and optics. Houwe Alphonse et al [4] studied optical soliton in left-handed metamaterials. M Mirzazadeh et al [5] reported solitons to generalized resonant dispersive nonlinear Schrödinger's equation with power law nonlinearity.…”

“…It is well known that the partial differential equation (PDEs) of the non-linear Schrodinger equation with hightorder nonlinear terms are near the complex physics phenomena which are concerned many fields from physics to biology etc [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17]. Recently, some effective methods for getting solitons solutions in LHMs and optics has attracted many researchers attention because of soliton theory which is a very important and fascinating area of research in nonlinear left-handed metamaterials and optics.…”