Formation of optical soliton wave profiles of Shynaray-IIA equation via two improved techniques: a comparative study
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 …
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 …
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
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 …
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 …
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 …
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 …
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) …
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
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 …
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 …
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 …
Such LS models have been derived and proposed with various motivations, which mainly …