The sine-Gordon expansion method to look for the traveling wave solutions of the Tzitzéica type equations in nonlinear optics

Application of the modified exponential function method to Vakhnenko-Parkes equation

“…There are various methods in the literature to find solutions to such equations. Some of these are as follows; the trial equation method [35,38], the extended trial equation method [47,48], the new function method [1,2,14], the generalized Bernoulli sub-equation function method [8,16,54], Kudryashov's method [33,39], the sine-Gordon expansion method [10,21,34,55], Hirota bilinear method [28,50,51] and so on. In this study, we apply the modified exponential function method (MEFM) to the Vakhnenko-Parkes (VP) equation.…”

Optical Solitons Possessing Beta Derivative of the Chen-Lee-Liu Equation in Optical Fibers

“…Monopulse water wave is the first soliton reported in El-Sayed and Gaber [6]. Optical solitons has also brought about mathematical insight and innovation of the various mechanism for their analytical and numerical solutions [7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23].…”

Bir sinirsel iletişim modelinin yeni salınımlı dalga çözümleri üzerinde

“…However, analytical solutions are crucial to test accuracy of approximate solutions. Thus, so many analytical methods have been improved such as sine-Gordon expansion method [34,35],the modified simple equation method [36], the extended sinh-Gordon equation expansion method [37][38][39] in recent years.…”