Formation of optical soliton wave profiles of Shynaray-IIA equation via two improved techniques: a comparative study

WA Faridi, GH Tipu, Z Myrzakulova… - Optical and Quantum …, 2024 - Springer
This study employs the new extended direct algebraic method and improved sardar sub-
equation method to investigate solitary wave solutions in the Shynaray-IIA equation, which …

Integrable Kuralay equations: geometry, solutions and generalizations

Z Sagidullayeva, G Nugmanova, R Myrzakulov… - Symmetry, 2022 - mdpi.com
In this paper, we study the Kuralay equations, namely the Kuralay-I equation (K-IE) and the
Kuralay-II equation (K-IIE). The integrable motion of space curves induced by these …

The optical exact soliton solutions of Shynaray-IIA equation with -model expansion approach

GH Tipu, WA Faridi, D Rizk, Z Myrzakulova… - Optical and Quantum …, 2024 - Springer
This paper investigates the Shynaray-IIA equation (S-IIAE), a type of partial differential
parametric equation, using the Φ 6-model expansion method. The Shynaray-IIA equation is …

Dynamic behaviors of novel nonlinear wave solutions for the Akbota equation

HY Kong, R Guo - Optik, 2023 - Elsevier
The Akbota equation, as a Heisenberg ferromagnet-type equation, is of great value for the
study of the curve and surface geometry. Based on the J-fold Darboux transformation, some …

[HTML][HTML] Bifurcation analysis and soliton structures of the truncated M-fractional Kuralay-II equation with two analytical techniques

SMY Arafat, SMR Islam - Alexandria Engineering Journal, 2024 - Elsevier
The truncated M-fractional Kuralay (TMFK)-II equation is prevalent in the exploration of
specific complex nonlinear wave phenomena. Such types of wave phenomena are more …

Integrable Akbota equation: conservation laws, optical soliton solutions and stability analysis

T Mathanaranjan, R Myrzakulov - Optical and Quantum Electronics, 2024 - Springer
This study addresses the integrable Akbota equation which is a Heisenberg ferromagnet-
type equation and has a significant study of the curve and surface geometry. The …

Breathers, rogue waves and semi-rational solutions for a generalized Heisenberg ferromagnet equation

BJ Deng, HQ Hao - Applied Mathematics Letters, 2023 - Elsevier
We focus on a generalized Heisenberg ferromagnet (HF) equation which names the
Myrzakulov XXXII (M-XXXII) equation in this paper. The N-fold Darboux transformation (DT) …

Exact solutions of Shynaray-IIA equation (S-IIAE) using the improved modified Sardar sub-equation method

MI Khan, DNK Marwat, J Sabi'u, M Inc - Optical and Quantum Electronics, 2024 - Springer
In this paper, we present an innovative approach to acquire the exact solutions of the
Shynaray-IIA equations (S-IIAE), by using the improved modified Sardar sub-equation …

Strange attractors, nonlinear dynamics and abundant novel soliton solutions of the Akbota equation in Heisenberg ferromagnets

M Alqudah, M AlMheidat, MM Alqarni… - Chaos, Solitons & …, 2024 - Elsevier
The prime objective of the present investigation is to classically unveil the dynamical
properties of nonlinear Akbota equation, connected with Heisenberg ferromagnets. The …

Integrable generalized Heisenberg ferromagnet equations with self-consistent potentials and related Yajima-Oikawa type equations

Z Myrzakulova, G Nugmanova… - arXiv preprint arXiv …, 2022 - arxiv.org
We consider some nonlinear models describing interactions of long and short (LS) waves.
Such LS models have been derived and proposed with various motivations, which mainly …