The generalized soliton wave structures and propagation visualization for Akbota equation

Faridi W.A. Abu Bakar M. Jhangeer A. Tawfiq F. Myrzakulov R. Naizagarayeva A.
1 December 2024 Walter de Gruyter GmbH

Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences
2024 #79 Issue 12 1075 - 1091 pp.

This paper explores in detail the integrable Akbota equation, a Heisenberg ferromagnet-type problem that is essential to the study of surface and curve geometry. A variety of soliton families are represented by the generalized solitonic wave profiles that are produced using the improved modified Sardar sub-equation technique, which is renowned for its accuracy and dependability. There has never been a study that used this technique before the current one. As a result, the solitonic wave structures have kink, dark, brilliant, king-singular, dark-singular, dark-bright, exponential, trigonometric, and rational solitonic structures, among other characteristics. In order to check the energy conservation, the Hamiltonian function is created and energy level demonstrated. The sensitivity analysis is also presented at various initial conditions. The graphical representation is also depicted along with the appropriate parametric values.

Akbota equation (AE) , soliton solutions , the Hamiltonian function , the improved modified Sardar sub-equation approach , the sensitivity analysis

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Department of Mathematics, University of Management and Technology, Lahore, Pakistan
IT4Innovations, VŠB - Technical University of Ostrava, Ostrava-Poruba, Czech Republic
Mathematics Department, College of Science, King Saud University, P.O. Box 22452, Riyadh, 11495, Saudi Arabia
Ratbay Myrzakulov Eurasian International Centre for Theoretical Physics, Astana, Kazakhstan

Department of Mathematics
IT4Innovations
Mathematics Department
Ratbay Myrzakulov Eurasian International Centre for Theoretical Physics

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