[HTML][HTML] Dynamics of resonant soliton, novel hybrid interaction, complex N-soliton and the abundant wave solutions to the (2+ 1)-dimensional Boussinesq equation

KJ Wang, F Shi, S Li, P Xu - Alexandria Engineering Journal, 2024 - Elsevier
The presented work concerns with some novel solutions of the (2+ 1)-dimensional
Boussinesq equation (BE), which acts as an important model for shallow water wave. Some …

Noise effect on soliton phenomena in fractional stochastic Kraenkel-Manna-Merle system arising in ferromagnetic materials

H Yasmin, AS Alshehry, AH Ganie, A Shafee… - Scientific Reports, 2024 - nature.com
This work dives into the Conformable Stochastic Kraenkel-Manna-Merle System (CSKMMS),
an important mathematical model for exploring phenomena in ferromagnetic materials. A …

A study of the wave dynamics of the space–time fractional nonlinear evolution equations of beta derivative using the improved Bernoulli sub-equation function …

A Podder, MA Arefin, MA Akbar, MH Uddin - Scientific Reports, 2023 - nature.com
The space–time fractional nonlinear Klein-Gordon and modified regularized long-wave
equations explain the dynamics of spinless ions and relativistic electrons in atom theory …

[HTML][HTML] A discussion on the Lie symmetry analysis, travelling wave solutions and conservation laws of new generalized stochastic potential-KdV equation

N Abbas, A Hussain, MB Riaz, TF Ibrahim, FMO Birkea… - Results in Physics, 2024 - Elsevier
In this current study, the potential-KdV equation has been altered by the addition of a new
stochastic term. The transmission of nonlinear optical solitons and photons is described by …

[HTML][HTML] Conserved quantities and sensitivity analysis influence of damping effect in ferrites materials

A Jhangeer, AR Ansari, M Imran, MB Riaz - Alexandria Engineering …, 2024 - Elsevier
In this paper, we investigate the Kraenkel-Manna-Merle (KMM) system, which explains the
nonlinear propagation of ultra-short wave pulses in specific saturated ferromagnetic …

Scrutiny of MHD impact on Carreau Yasuda (CY) fluid flow over a heated wall of the uniform micro-channel

H Vaidya, D Tripathi, F Mebarek-Oudina… - Chinese Journal of …, 2024 - Elsevier
Abstract The Carreau-Yasuda model is a useful rheological tool for describing complex fluid
flow behavior, especially those involving non-Newtonian fluids. This is significant because it …

Bifurcation and exact traveling wave solutions to a conformable nonlinear Schrödinger equation using a generalized double auxiliary equation method

B Gasmi, A Moussa, Y Mati, L Alhakim… - Optical and Quantum …, 2024 - Springer
This paper deals with a nonlinear Schrödinger equation in the sense of conformable
derivative. Bifurcations and phase portraits are first proposed by using bifurcation theory …

Probing wave dynamics in the modified fractional nonlinear Schrödinger equation: implications for ocean engineering

D Chou, SM Boulaaras, HU Rehman, I Iqbal - Optical and Quantum …, 2024 - Springer
The nonlinear Schrödinger equation is used to model various phenomena, such as solitons
self-focusing effects and rogue waves. In the ocean engineering, the modified nonlinear …

The modulation instability analysis and analytical solutions of the nonlinear Gross− Pitaevskii model with conformable operator and riemann wave equations via …

W Gao, HM Baskonus - Advances in Mathematical Physics, 2023 - Wiley Online Library
In this manuscript, we focus on the application of recently developed analytical scheme,
namely, the rational sine‐Gordon expansion method (SGEM). Some new exact solutions of …

Solitons to the time-fractional Radhakrishnan–Kundu–Lakshmanan equation with and M-truncated fractional derivatives: a comparative analysis

AM Elsherbeny, A Bekir, AH Arnous, M Sadaf… - Optical and Quantum …, 2023 - Springer
In this study, the dynamics of perturbed fractional Radhakrishnan–Kundu–Lakshman (RKL)
equation is investigated taking the fractional derivatives as β and M-truncated derivatives …