Search
Search Results
-
Travelling Wave Solutions and Stationary Solutions of a Reaction-Diffusion-ODE System
The aim of this paper is to study a reaction-diffusion-ODE system which describes coupling of fast reacting receptors with ligands via diffusion in a...
-
Taylor Trick and Travelling Wave Solutions
AbstractThe paper deals with transformation of solutions of the equation that have a number of conservation laws. When a dissipative term is added to...
-
Constructions of the Travelling Wave Solutions to the MRLW Equation and Their Stability and Accuracy Arising in Plasma Physics
The current article manifests exact travelling wave solutions, numerical solutions, and kink wave answers to the modified regularized long wave...
-
Asymptotic stability of travelling wave to a hyperbolic-elliptic coupled system of the radiating gas on half line
This paper studies the asymptotic behavior of solutions to an initial-boundary value problem for a hyperbolic-elliptic coupled system of the...
-
Travelling wave solution of fourth order reaction diffusion equation using hybrid quintic hermite splines collocation technique
Fourth order extended Fisher Kolmogorov reaction diffusion equation has been solved numerically using a hybrid technique. The temporal direction has...
-
On Lump, Periodic and Travelling Wave Structures to the Generalized Breaking Soliton Model
In this article, the generalized breaking soliton equation is considered which demonstrates the intersections of the surface wave dispersion curve...
-
Painlevé Analysis, Bäcklund Transformation, Lax Pair, Periodic- and Travelling-Wave Solutions for a Generalized (2+1)-Dimensional Hirota–Satsuma–Ito Equation in Fluid Mechanics
In this paper, under investigation is a generalized (2+1)-dimensional Hirota–Satsuma–Ito (HSI) equation in fluid mechanics. Motivated by its...
-
Topological Travelling Waves of a Macroscopic Swarmalator Model in Confined Geometries
We investigate a new class of topological travelling-wave solutions for a macroscopic swarmalator model involving force non-reciprocity. Swarmalators...
-
Travelling-Wave and Asymptotic Analysis of a Multiphase Moving Boundary Model for Engineered Tissue Growth
We derive a multiphase, moving boundary model to represent the development of tissue in vitro in a porous tissue engineering scaffold. We consider a...
-
The spectrum and stability of travelling pulses in a coupled FitzHugh-Nagumo equation
For a coupled slow-fast FitzHugh-Nagumo (FHN) equation derived from a reaction-diffusion-mechanics (RDM) model, Holzer et al. (2013) studied the...
-
Spectral Stability of Shock-fronted Travelling Waves Under Viscous Relaxation
Reaction-nonlinear diffusion partial differential equations can exhibit shock-fronted travelling wave solutions. Prior work by Li et al. (Physica D...
-
Singular integral equations with applications to travelling waves for doubly nonlinear diffusion
The goal of this article is to offer a series of results related to the existence and properties of wavefront solutions for doubly nonlinear...
-
Travelling Waves in a PDE–ODE Coupled Model of Cellulolytic Biofilms with Nonlinear Diffusion
We analyze travelling wave (TW) solutions for nonlinear systems consisting of an ODE coupled to a degenerate PDE with a diffusion coefficient that...
-
Beam deflection coupled systems of fractional differential equations: existence of solutions, Ulam–Hyers stability and travelling waves
In this paper, we study a coupled system of beam deflection type that involves nonlinear equations with sequential Caputo fractional derivatives....
-
A novel computational approach to the local fractional Lonngren wave equation in fractal media
The main purpose of this paper is to investigate the local fractional Lonngren wave equation, which is a generalization of Lonngren wave equation in...
-
Dynamics of Travelling Waves to KdV–Burgers–Kuramoto Equation with Marangoni Effect Perturbation
This paper aims to establish the existence of travelling waves for a generalized KdV–Burgers–Kuramoto equation via utilising geometric singular...
-
Travelling wave solutions in a negative nonlinear diffusion–reaction model
We use a geometric approach to prove the existence of smooth travelling wave solutions of a nonlinear diffusion–reaction equation with logistic...
-
Travelling Wave Solutions of the General Regularized Long Wave Equation
In this paper, we study the bifurcation and exact travelling wave solutions of the general regularized long wave (GRLW) equation. Based on the...
-
Generalized travelling fronts for non-autonomous Fisher-KPP equations with nonlocal diffusion
This work is concerned with the study of generalized travelling wave solutions for time heterogeneous Fisher-KPP equations with nonlocal diffusion....
-
Symmetries, Reductions and Different Types of Travelling Wave Solutions for Symmetric Coupled Burgers Equations
In this paper, the symmetry group method is used to obtain similarity reductions for generalized symmetric coupled Burgers-type equations. Two...
