Results 281 to 290 of about 171,037 (334)

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 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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Traveling Wave and Multiple Traveling Wave Solutions of Parabolic Equations

SIAM Journal on Mathematical Analysis, 1982
We consider scalar equations $u_t = f(u_{xx} ,u_x ,u)$ with $\frac{\partial }{{\partial \alpha }}f(\alpha ,\beta ,\gamma ) \geq 1$. We first determine the stability of the monotonic traveling wave solutions $u(t,x) = \phi (x - ct,c)$. We then study the continued existence and bifurcations of these solutions as the wavespeed c varies.
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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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Periodic travelling-wave solution of brusselator

Acta Mathematicae Applicatae Sinica, 1988
The author firstly gives the conditions such that a quartic algebraic equation has a pair of complex conjugate roots and a pair real roots, and all of the roots have strictly negative real part (Lemma 1-3). With that, he gives the conditions of coefficients of the characteristic equation which enables us to know the existence of the Hopf bifurcation ...
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Exact Traveling-Wave Solutions to Bidirectional Wave Equations

International Journal of Theoretical Physics, 1998
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Periodic travelling wave solutions of nonlinear wave equations

Nonlinear Analysis: Theory, Methods & Applications, 1999
Periodic traveling wave solutions to the nonlinear wave equation with periodic boundary condition are considered. A result of Bourgain for the semilinear cubic wave equation is extended.
Shi, Yuming, Li, Ta-tsien, Qin, Tiehu
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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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Exact nonlinear travelling hydromagnetic wave solutions

Acta Mechanica, 1992
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Venkatachalappa, M, Rudraiah, N, Sachdev, PL   +2 more
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