Studies in Applied MathematicsR. Haberman. Phase shift modulations for stable, oscillatory, traveling, strongly nonlinear waves. Stud. Appl. Math. , 84(1):57–69, 1991. MATH MathSciNetHaberman, R. (1991) Phase shift modulations for stable, oscillatory, traveling, strongly nonlinear waves. Stud. Appl. Math. 84: pp. 57...
We also determine the existence of a maximal propagation speed for these traveling waves through an explicit upper bound depending on the conformal factor. 漏 2015 Wiley Periodicals, Inc.doi:10.1002/cpa.21615Alama, StanBronsard, LiaContreras, Andres...
An exact wave-action equation is introduced if the traveling wave is stable, involving averages over the periodic wave as well as time. This is equivalent to an extended averaged Lagrangian principle. The equation for the slow modulations of the phase shift of the traveling wave is derived ...
Using the Lotka-Volterra competition model as an example, a method is developed for determining this minimum wave speed. In the example model, the exact minimum wave speed is determined. Furthermore, the method could be applied to other models. A related problem is the question of uniqueness....
mono-stable reaction-diffusion equationsThis paper is concerned with planar traveling wavefronts of mono-stable reaction-diffusion equations in R-n (n >= 2). We show that the large time behavior of the disturbed fronts can be controlled by two functions, which are the solutions of the ...