Abundant explicit solutions for the M-fractional coupled nonlinear Schrödinger–KdV equations

B Hong - Journal of Low Frequency Noise, Vibration and …, 2023 - journals.sagepub.com
In this study, the famous fractional generalized coupled cubic nonlinear Schrödinger–KdV
equations arising in many domains of physics and engineering such as depicting the …

Exact solutions for the conformable fractional coupled nonlinear Schrödinger equations with variable coefficients

B Hong - Journal of Low Frequency Noise, Vibration and …, 2023 - journals.sagepub.com
In this work, the general algebraic method is proposed for finding some solutions of a
conformable fractional coupled nonlinear Schrödinger equation with variable coefficients …

Approximate Analytical Solutions for Strongly Coupled Systems of Singularly Perturbed Convection–Diffusion Problems

ER El-Zahar, GF Al-Boqami, HS Al-Juaydi - Mathematics, 2024 - mdpi.com
This work presents a reliable algorithm to obtain approximate analytical solutions for a
strongly coupled system of singularly perturbed convection–diffusion problems, which …

Updated Lagrangian Curvilinear Beam Element for 2D Large Displacement Analysis

C Iandiorio, P Salvini - Proceedings of the 5th International Conference on …, 2023 - Springer
This paper presents a 2D curvilinear beam finite element model focusing the interest on its
use for non-linear analysis caused by very large displacements, addressed with the Update …

Analytical solutions for large-deflection bending of variable-thickness inhomogeneous functional graded composite circular plates with parameterized boundaries …

Q Yu, H Gu, S Wang, H Xu - Composite Structures, 2025 - Elsevier
A brand-new hygro-thermo-mechanical bending model of the inhomogeneous concave and
convex composite circular plates having varying thickness undergoing large deformation …

Stress recovery of laminated non-prismatic beams under layerwise traction and body forces

MMS Vilar, DA Hadjiloizi, P Khaneh Masjedi… - International Journal of …, 2022 - Springer
Emerging manufacturing technologies, including 3D printing and additive layer
manufacturing, offer scope for making slender heterogeneous structures with complex …

Estimating a semi-analytical solution for fish farm model using homotopy analysis method

M Arunkumar, G Joshi, K Murugesan - International Journal of Dynamics …, 2024 - Springer
In this paper, the homotopy analysis method (HAM) is employed to solve the dynamical
behavior of nutrient density, fish population and mussel population in a fish farm with the …

Exploring fractional-order new coupled Korteweg-de Vries system via improved Adomian decomposition method

M Arshad, SF Aldosary, S Batool, I Hussain, N Hussain - Plos one, 2024 - journals.plos.org
This paper aims to extend the applications of the projected fractional improved Adomian
Decomposition method (fIADM) to the fractional order new coupled Korteweg-de Vries …

Research on dynamics of icing wind turbine blade based on geometrically exact beam theory

F Wang, Y Yang, J Zeng, Y Yang - Journal of Sound and Vibration, 2025 - Elsevier
In this paper, the geometrically exact beam theory (GEBT) and blade element momentum
theory (BEMT) are used to establish the aeroelastic coupling model for analyzing the …

Avoiding small denominator problems by means of the Homotopy Analysis Method

S Liao - arXiv preprint arXiv:2208.04136, 2022 - arxiv.org
The so-called``small denominator problem''was a fundamental problem of dynamics, as
pointed out by Poincar\'{e}. Small denominators appear most commonly in perturbative …