Stable propagation of optical solitons in fiber lasers by using symbolic computation

Multiple Accurate-Cubic Optical Solitons to the Kerr-Low and Power-low Nonlinear Schrodinger Equation without the Chromatic Dispersion

“…This schema is applied perfectly to introduce new impressive and accurate visions of the cubic solitons for the Kerr-law and Power-law NLSE that involve the third-order dispersion effect and exclude the chromatic dispersion effect, which are obviously through Figures (1)(2)(3)(4)(5)(6)(7)(8)(9)(10)(11)(12)(13)(14)(15)(16). In related subject the SWAM has been applied effectively to establish other new accurate perceptions of the cubic solitons for the kerr-law and power law nonlinearity mentioned before, which are obviously through Figures (17)(18)(19)(20)(21)(22)(23)(24)(25)(26). Our new achieved pictures of the accurate cubic soliton solutions in the framework of these two various manners which weren't achieved before by any other authors denote to the novelty of these results, especially compared with that achieved previously by [6][7][8] and [33][34] who applied different techniques to study these two cases significantly.…”

“…Specially, many studies in terms of various methods have been demonstrated through significant published articles that were extracted via many authors who discussed various forms of the cubic-quartic NLSE [11][12][13][14][15][16][17][18][19][20]. In the last few decades the dynamics of optical soliton cause surprise development in the telecommunications engineering [21][22][23][24][25][26][27][28][29][30][31][32]. Recently, few studies have been implemented to discuss the NLSE in the presence of the third order dispersion and absence of the chromatic dispersion [6][7][8], [33][34],while in the absence of third order dispersion and the chromatic dispersion this equation doesn't integrable [35].…”

New Private Types for the Cubic-Quartic Optical Solitons in Birefringent Fibers in Its Four Forms of Nonlinear Refractive Index

“…Firstly, through overview Fig. (1)(2)(3)(4)(5)(6)(7)(8)(9)(10) it is clear ability of the suggested method to give good description of the new types of solitons to the cubic-quartic NLSE for the Kerr-Low NLSE in polarization-preserving fibers. Also, via overview Fig.…”

“…In the last few decays little studies through good efforts of some authors to various special forms of NLSE for the cubic-quartic of the birefringence for which the optical property of a material having a refractive index that depends on the polarization and propagation direction of light have been investigated through [26][27][28]. This article focused on applying the ESEM [8][9], [14] to achieve new types of optical solitons to cubic-quartic NLSE with its special forms which mentioned in the abstract. This article is organized as follow, the introduction section which gives short survey of the forms NLSE as well as the methods that used to solve it, in section two we will give description of the ESEM and its application to find the soliton solution of the suggested model.…”

New private types for the cubic-quartic optical solitons in birefringent fibers in its four forms of nonlinear refractive index

“…In addition the birefringence for which the optical property of a material having a refractive index that depends on the polarization and propagation direction of light has been discussed by [2,3]. Some studies have been demonstrated to investigate various forms of the NLSE which describes important nonlinear problems in different branches of sciences [4][5][6][7][8][9][10][11][12][13][14]. Recently, big number of authors discussed various forms of the cubic-quartic NLSE through their efforts to extract the soliton solutions via different techniques [15][16][17][18][19][20][21][22][23][24][25].…”