Results 251 to 260 of about 3,970,983 (289)

Exact Traveling-Wave Solutions to Bidirectional Wave Equations

International Journal of Theoretical Physics, 1998
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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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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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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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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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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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Traveling-wave solutions to thin-film equations

Physical Review E, 1993
Thin films can be effectively described by the lubrication approximation, in which the equation of motion is ${\mathit{h}}_{\mathit{t}}$+(${\mathit{h}}^{\mathit{n}}$${\mathit{h}}_{\mathit{x}\mathit{x}\mathit{x}}$${)}_{\mathit{x}}$=0. Here h is a necessarily positive quantity which represents the height or thickness of the film.
, Boatto, , Kadanoff, , Olla
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Travelling wave solutions to the Kuramoto–Sivashinsky equation

Chaos, Solitons & Fractals, 2007
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Travelling-wave solution in the Rapoport–Leas model

Analysis and Mathematical Physics, 2017
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