Results 241 to 250 of about 10,459 (265)

Traveling wave solutions for reaction–diffusion systems

Nonlinear Analysis: Theory, Methods & Applications, 2010
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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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Travelling Wave Solutions for sine-Gordon Prototypes

International Journal of Nonlinear Sciences and Numerical Simulation, 2001
Summary: By using finite difference discretization for the sine-Gordon equation, we obtain the sine-Gordon prototypes. For these prototypes, the existence of discrete periodic travelling wave solutions and discrete solitons are proved by the anti-integrable limit method.
Zheng, Yongai, Liu, Zengrong, Liu, Yurong   +2 more
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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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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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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 Wave Solution for a Hyperbolic Differential Equation

Lobachevskii Journal of Mathematics
The existence of weak and strong detonation waves for a version of the Majda's model is proved. In fact, the existence of traveling wave solutions for an exothermic combustion involving more than one reaction is studied.
Razani, Abdolrahman, Sevim, Esra Sengelen   +1 more
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Travelling wave solutions to the Kuramoto–Sivashinsky equation

Chaos, Solitons & Fractals, 2007
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Traveling Wave Solutions for Triki-Biswas Equation

Journal of Dynamical and Control Systems
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Wenxia Wang, Jianli Liang
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