Article ID Journal Published Year Pages File Type
4611174 Journal of Differential Equations 2011 19 Pages PDF
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 satisfiesp″>0andp‴⩽0. While p″>0 alone suffices for the stability of waves of sufficiently small amplitude, obvious examples show that p‴⩽0 cannot be omitted in the general case.
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Authors
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