Perturbed optical solitons with spatio-temporal dispersion in (2 + 1)-dimensions by extended Kudryashov method

Optical solutions to the Kundu-Mukherjee-Naskar equation: mathematical and graphical analysis with oblique wave propagation

“…It is worth mentioning that some researchers have studied a number of various known models and investigated their corresponding soliton dynamics via diverse analytical methods, viz. the Kudryashov method [13][14][15], the generalized Kudryashov method [16], the extended Kudryashov method [17], the trial solution method [18], the extended trial equation method [19], the modified simple equation method [20], the sine-Gordon expansion equation method [21,22], the extended sinh-Gordon equation expansion method [23][24][25], simplest equation method [26], the extended simplest equation method [27], new extended direct algebraic method [28], new auxiliary equation expansion method [29] and so on. This paper deals with one of such models viz.…”

Rouge wave solutions of a nonlinear pseudo-parabolic physical model through the advance exponential expansion method

“…Numerous researchers arranged through NEEs to build voyaging wave arrangement by actualize a few strategies. The techniques that are entrenched in late writing, for example, extended Kudryashov method [1], Modefied simple equation method [2], New extended (G'/G) expansion method [3], [4], Darboux transformation [5], trial solution method [6], Exp-Function Method [7], Multiple Simplest Equation Method [8]. Nofal applied Simple equation method for nonlinear partial differential equations [10].…”

“…We implemented the advance ( − ( )) -expansion strategy to solve equation (1) and obtained new solutions which could not be attained in the past. Mamunur and Bashar found exact and explicit solution from Oskolkov equation with the help of simple equation method [14], Mamunur applied MSE Schema [15] Faruk applied the tanh-coth strategy for some nonlinear pseudoparabolic conditions to got precise arrangement [16], Turgut Propagation of nonlinear shock waves or the summed up oskolkov condition and its dynamic movements within the sight of an outside intermittent annoyance by actualize unified technique [17] and others creator fathom this model by various predominant strategy [18][19][20].…”

Breather Wave and Kinky Periodic Wave Solutions of One-Dimensional Oskolkov Equation

“…Many scholars planned through NEEs to construct traveling wave solution by implement several methods. The procedures that are well established in recent literature such as extended Kudryashov method [1], Modefied simple equation method [2], New extended (G'/G) expansion method [3][4], Darboux transformation [5], trial solution method [6], Exp-Function Method [7], Multiple Simplest Equation Method [8]. In this paper we implement simple equation method to execute innovative traveling wave solution.…”

“…It was indicated in [20][21] that the parameter λ can be negative and the negativeness of the parameter λ does not deny the physical meaning of equation (2). We implemented the simple equation method to solve equation (1) and obtained new solutions which could not be attained in the past. Mamunur found exact and explicit solution from Oskolkov equation with the help of MSE method [15], Faruk applied the tanh-coth method for some nonlinear pseudo parabolic equations to obtained exact solution [16], Turgut Propagation of nonlinear shock waves for the generalized oskolkov equation and its dynamic motions in the presence of an external periodic perturbation by implement inified method [17] and others author solve this model by different dominant method [14][15][16][17][18][19][20].…”