The Dynamics of Modulated Wave Trains

By Arjen Doelman, Bjorn Sandstede, Arnd Scheel, Guido Schneider. 2009

146 citations recorded by the source corpus.

Subfields: Computer Networks and Communications, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/1e9c4b4523ffd9f195460251593106440012e331

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computer Networks and Communications

1. Bjorn Sandstede
2. Arnd Scheel
3. Kevin Zumbrun
4. Jens D. M. Rademacher

In Statistical and Nonlinear Physics

1. Arnd Scheel
2. Bjorn Sandstede
3. Kevin Zumbrun
4. Mathew A. Johnson
5. Arjen Doelman
6. V. D. Ploeg

Citations in the corpus

• Nonlinear modulational stability of periodic traveling-wave solutions of the generalized Kuramoto–Sivashinsky equation (2012, methodology): “ Whitham equations has become an important direction of research in the last decade, with important and fundamental results being given, for example, in the context of the reaction diusion equations [DSSS] and the Shallow water equations [NR1]. In this paper, we carry out numerical time evolution st”
• Nonlocalized modulation of periodic reaction diffusion waves: The Whitham equation (2011, background): “e by such a simultaneous argument structure to treat the case that ψxis large but bounded in L1 but only small in L∞. This would be a very interesting extension to carry out. Finally, as described in [DSSS], nonlinear stability of shock-type solutions, for which not only ψbut kapproaches different en”
• Relative Morse indices, Fredholm indices, and group velocities (2007, background): “evaluated at = or = ik. We assume that cg 6= 0 and refer to [ 2 ] for an interpretation of group velocities in terms of transport of perturbations along wave trains.”