Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4611174 | Journal of Differential Equations | 2011 | 19 Pages |
Abstract
This paper establishes that solitary waves for the generalized Korteweg-de Vries equation and for the generalized Boussinesq equation are stable if the flux function p satisfiespâ³>0andpâ´â©½0. While pâ³>0 alone suffices for the stability of waves of sufficiently small amplitude, obvious examples show that pâ´â©½0 cannot be omitted in the general case.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
J. Höwing,