Exact solitary wave solutions and linear stability of the β-time-fractional Gardner equation in shallow water dynamics. [PDF]
Elsaid Ramadan M +4 more
europepmc +1 more source
Bifurcation Analysis of a Resource–Consumer System With Explicit Spatiotemporal Memory
ABSTRACT In ecological systems, animal movement is often influenced by memory and spatial cognition, especially in advanced species. This paper investigates the dynamics of a diffusive resource–consumer model incorporating explicit spatiotemporal distributed memory, where memory effects are modeled as distributed delays in both time and space.
Luhong Ye, Hao Wang
wiley +1 more source
A new hybrid block collocation method for solving elliptic PDEs. [PDF]
Rufai MA +3 more
europepmc +1 more source
Multiple front and pulse solutions in spatially periodic systems
Abstract In this paper, we develop a comprehensive mathematical toolbox for the construction and spectral stability analysis of stationary multiple front and pulse solutions to general semilinear evolution problems on the real line with spatially periodic coefficients.
Lukas Bengel, Björn de Rijk
wiley +1 more source
Soliton dynamics and stability in resonant nonlinear Schrödinger systems with cubic quintic effects via enhanced modified extended tanh function method. [PDF]
Tarek A, Ahmed HM, Badra N, Samir I.
europepmc +1 more source
On a nonlinear elliptic boundary value problem [PDF]
openaire +1 more source
Circle packings, renormalizations, and subdivision rules
Abstract In this paper, we use iterations of skinning maps on Teichmüller spaces to study circle packings and develop a renormalization theory for circle packings whose nerves satisfy certain subdivision rules. We characterize when the skinning map has bounded image.
Yusheng Luo, Yongquan Zhang
wiley +1 more source
Advanced fractional soliton solutions of the Joseph-Egri equation via Tanh-Coth and Jacobi function methods. [PDF]
Shakeel K +6 more
europepmc +1 more source
Mesh and Model Adaptivity for Multiscale Elastoplastic Models With Prandtl‐Reuss Type Material Laws
ABSTRACT Homogenization methods simulate heterogeneous materials like composites effectively, but high computational demands can offset their benefits. This work balances accuracy and efficiency by assessing model and discretization errors of the finite element method (FEM) through an adaptive numerical scheme.
Arnold Tchomgue Simeu +2 more
wiley +1 more source
Calderón problem for nonlocal viscous wave equations: Unique determination of linear and nonlinear perturbations. [PDF]
Zimmermann P.
europepmc +1 more source

