Bifurcation analysis, modulation instability and optical soliton solutions and their wave propagation insights to the variable coefficient nonlinear Schrödinger equation …

MM Roshid, MM Rahman - Nonlinear Dynamics, 2024 - Springer
The present paper aims to explore bifurcation analysis, modulation instability, and optical
soliton solutions in nonlinear media with third-order dispersion terms. A variable coefficient …

Meta-Interpretive LEarning with Reuse

R Wang, J Sun, C Tian, Z Duan - Mathematics, 2024 - mdpi.com
Inductive Logic Programming (ILP) is a research field at the intersection between machine
learning and logic programming, focusing on developing a formal framework for inductively …

Finite-time multistability of a multidirectional associative memory neural network with multiple fractional orders based on a generalized Gronwall inequality

Z Liu, X Xu, T Zhou - Neural Computing and Applications, 2024 - Springer
This paper addressed the finite-time multistability of a Caputo fractional order
multidirectional associative memory neural network (FMAMNN) with multiple orders, where …

[HTML][HTML] Explicit and approximate series solutions for nonlinear fractional wave-like differential equations with variable coefficients

M Alaroud, H Aljarrah, AK Alomari, A Ishak… - … Differential Equations in …, 2024 - Elsevier
This work investigates the exact and accurate approximate series solutions of the strongly
nonlinear wave-like differential equations of fractional order with variable coefficients …

Solitary wave solutions, bifurcation theory, and sensitivity analysis in the modified unstable nonlinear Schrödinger equation

M Shakeel, X Liu - Modern Physics Letters B, 2024 - World Scientific
This study examines the modified unstable nonlinear Schrödinger model, a fundamental
nonlinear physical model vital for depicting optical solitary wave solutions and their …

[PDF][PDF] An efficient numerical scheme in reproducing kernel space for space fractional partial differential equations

B Liu, W Wang - AIMS Mathematics, 2024 - aimspress.com
A numerical approach is proposed for space fractional partial differential equations by the
reproducing kernel approach. Some procedures are presented for improving the existing …

A Direct Method to Approximate Solution of the Space-fractional Diffusion Equation

FSM Nasrudin, S Mahadi, NNA Hassan - Malaysian Journal of …, 2024 - mjfas.utm.my
A class of partial differential equations with fractional derivatives in the spatial variables are
called space-fractional diffusion equations. They can be applied to simulate anomalous …