Results 251 to 260 of about 168,001 (284)

Traveling Wave Solutions

1996
This chapter deals with the existence of wave solutions in a system where spatial diffusion and temporal delay play a crucial role in determining the system’s spatio-temporal patterns and dynamics.
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Traveling wave solutions for reaction–diffusion systems

Nonlinear Analysis: Theory, Methods & Applications, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lin, Zhigui, Pedersen, Michael, Tian, Canrong   +2 more
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Traveling Wave Solutions

2001
In this chapter we study model problems that lead to an important, special class of solutions called traveling wave solutions. Examining the behavior of these solutions can give insights into the role of competing mechanisms in a given problem, for example, reaction versus dispersion or advection versus dispersion.
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Explicit travelling-wave solutions

2004
A number of explicit nontrivial monotonic travelling-wave solutions of the nonlinear reaction-convection-diffusion equation (1.1) have been discovered by various authors. It is not the intention here to provide a survey of all these. However, a few remarks on the possibilities offered by the now apparent correspondence between travelling-wave solutions
Brian H. Gilding, Robert Kersner
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The Smooth and Nonsmooth Travelling Wave Solutions in a Nonlinear Wave Equation

Applied Mathematics and Mechanics, 2001
This paper is devoted to the travelling wave solutions (TWS) for a class of PDE. Travelling wave for this PDE is a planar cubic polynomial system in three--parameter space. Using the theory of planar dynamical systems, the author obtains all topological classifications of the cubic polynomial system.
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A travelling wave solution to the kolmogorov equation with noise

Stochastics and Stochastic Reports, 1996
Preprint: Weierstraß-Institut für Angewandte Analysis und Stochastik, vol ...
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Traveling Waves as Limits of Solutions on Bounded Domains

SIAM Journal on Mathematical Analysis, 1996
The authors study a scalar reaction-diffusion equation \(u_t=\varepsilon^2 u_{xx}-(u+a)(u^2-1)\) with homogeneous Neumann boundary conditions \(u_x=0, x=\pm 1\). The main interest of this paper is the limiting behavior of solutions as \(\varepsilon\to 0\) for large but finite \(t\).
Fusco, Giorgio, Hale, Jack K., Xun, Jianping   +2 more
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Travelling wave solutions to the Kuramoto–Sivashinsky equation

Chaos, Solitons & Fractals, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Bifurcation and traveling wave solution to fractional Biswas-Arshed equation with the beta time derivative

Chaos, Solitons and Fractals, 2022
Zhao Li
exaly  

New single traveling wave solution in birefringent fibers or crossing sea waves on the high seas for the coupled Fokas–Lenells system

Journal of Ocean Engineering and Science, 2023
Zhao Li, Xinyu Xie
exaly