Nonlinear biological population model; computational and numerical investigations

The sensitivity demonstration and propagation of hyper-geometric soliton waves in plasma physics of Kairat-II equation

“…One effective scheme is the Φ 6 -expansion approach [15][16][17], the Hirota bilinear method [18], the new Kudryashov approach [19], a new auxiliary equation approach [20], a sinh-Gordon equation technique [21], modified Exponential function and the Kudryshov techniques [22,23], a generalized Riccati mapping equation scheme and the q-HATM methods [24]. The Khater II approach and Sardar Sub-equation scheme [25] and utilizing conformable fractional derivative [26], a auto-Backlund transformation technique [27], the Jacobi elliptic function technique [28], the Jacobi elliptic function expansion (JEFE) method [29], the modified exponential rational functional method [30], the retrieval process utilizes the undetermined coefficients method as its integration technique [31] and so on.…”

Computational and numerical wave solutions of the Caudrey–Dodd–Gibbon equation

“…While electromagnetic plane waves move perpendicular to the medium, mechanical sound waves do not [24] . Wave polarization is the orientation of an oscillating field's physical components with respect to propagation direction [25] .…”

Obtaining the soliton solutions of local M-fractional magneto-electro-elastic media

“…Many researches (Kruskal, Zabusky, Miura, Gardner, Zakharov, Shabat, Zakharov, Mikhailov, Ablowitz, Newell, Segur, Kaup, Manakov, and other distinguished scientists) have been carried out in fields such as nonlinear wave dynamics, nonlinear optics, solid state, plasma, and quantum physics, atmosphere, ocean engineering and planetary sciences due to both the introduction of the soliton concept into the literature and the integrability of nonlinear equations and the development of computer-aided symbolic software. Especially in the last two decades, new concepts, theories, and models related to nonlinearity have been developed and most of them have been supported by experimental studies [1] , [2] , [3] , [4] , [5] , [6] , [7] , [8] , [9] , [10] , [11] , [12] , [13] , [14] , [15] , [16] , [17] , [18] , [19] , [20] , [21] , [22] , [23] , [24] , [25] , [26] , [27] , [28] , [29] , [30] . Due to the increase in studies on solitons, the orientation of many researchers to this field.…”