Modulating Pulse Solutions for a Class¶of Nonlinear Wave Equations |
| |
| Authors: | M. D. Groves G. Schneider |
| |
| Affiliation: | Mathematisches Institut A, Universit?t Stuttgart, Pfaffenwaldring 57, 70569 Stuttgart, Germany, DE
Mathematisches Institut, Universit?t Bayreuth, 95440 Bayreuth, Germany, DE
|
| |
| Abstract: | We consider modulating pulse solutions for a nonlinear wave equation on the infinite line. Such a solution consists of a permanent pulse-like envelope steadily advancing in the laboratory frame and modulating an underlying wave-train. The problem is formulated as an infinite-dimensional dynamical system with one stable, one unstable and infinitely many neutral directions. Using a partial normal form and invariant-manifold theory we establish the existence of modulating pulse solutions which decay to small-amplitude disturbances at large distances. Received: 8 November 2000 / Accepted: 12 December 2000 |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
