Results 261 to 270 of about 544,293 (332)

On the stability of travelling wave solutions of a one-dimensional model system for compressible viscous gas

Japan Journal of Industrial and Applied Mathematics, 1985
A. Matsumura, K. Nishihara
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Exact travelling wave solutions for the Zakharov-Kuznetsov equation

Applied Mathematics and Computation, 2008
Yan-ze Peng
semanticscholar   +3 more sources

Taylor Trick and Travelling Wave Solutions

Lobachevskii Journal of Mathematics, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Travelling Wave Solutions of the General Regularized Long Wave Equation

Qualitative Theory of Dynamical Systems, 2021
This paper studies the model of the general regularized long wave (GRLW) equation. The main contribution of this paper is to find that GRLW equation has extra kink and anti-kink wave solutions when $p = 2n + 1$, while it's not for $p = 2n$. The authors give the phase diagram and obtained possible exact explicit parametric representation of the ...
Hang Zheng, Yonghui Xia, Yuzhen Bai, Luoyi Wu   +3 more
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A note on the stability of travelling wave solutions of Burgers’ equation

Japan Journal of Industrial and Applied Mathematics, 1985
K. Nishihara
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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 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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