Optical solitons with quadratic-cubic nonlinearity by semi-inverse variational principle

Solitons in optical metamaterials with anti-cubic law of nonlinearity by ETEM and IGEM

“…Remarks 1 If the modulus l → 1, then the solution ( 31) can be reduced to the solitary wave solution…”

“…In the past, solitons in optical metamaterials have been studied with various forms of non-Kerr laws of nonlinearity where several integration schemes have been implemented [5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24]. Interested reader also read herein references [25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40][41]. This paper is going to revisit the study of solitons in optical metamaterials for a specific form of nonlinear medium.…”

“…A new form of nonlinearity was proposed during 2011, which is called quadratic-cubic (QC) [25]. Thus far, NLSE with QC nonlinearity has been studied, without prerturbation terms, by the aid of some integration algorithms, including the application of semi-inverse variational principle (SVP) [26,31]. Optical Fiber is new medium, in which information is transmitted through a glass or plastic fiber, in the form of light.…”

Analytical treatment in optical metamaterials with anti-cubic law of nonlinearity by IEFM and EShGEEM

“…In the past, solitons in optical metamaterials have been studied with various forms of non-Kerr laws of nonlinearity where several integration schemes have been implemented [10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28]. The interested reader also read herein references [29][30][31][32][33][34][35][36][37][38][39][40][41][42][43][44][45]. This paper is going to revisit the study of solitons in optical metamaterials for a specific form of nonlinear medium.…”

High-Order Dispersive Cubic-Quintic Schrödinger Equation and Its Exact Solutions

“…The countless applications of nonlinear evolution equations (NLEEs) in diverse scientific fields have attracted the attention of many academic scholars to search and analyze their exact solutions. In this respect, various methods such as the Kudryashov method [1][2][3][4][5][6][7], tanh-coth method [8,9], modified simple equation method [10,11], sine-cosine method [12,13], transformed rational function method [14,15], ansatz method [16,17], auxiliary equation method [18,19], semi-inverse variational method [20,21], and exp a -function method [22][23][24] have been utilized to solve and handle the NLEEs.…”