A stability result for solitary waves in nonlinear dispersive equations
Akers, Benjamin ; Milewski, Paul A.
Commun. Math. Sci., Tome 6 (2008) no. 1, p. 791-797 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
The stability of solitary traveling waves in a general class of conservative nonlinear dispersive equations is discussed. A necessary condition for the exchange of stability of traveling waves is presented; an unstable eigenmode may bifurcate from the neutral translational mode only at relative extrema of the wave energy. This paper extends a result from Hamiltonian systems, and from a few integrable partial differential equations, to a broader class of conservative differential equations, with particular application to gravity-capillary surface waves.
Publié le : 2008-09-15
Classification:  stability,  solitary wave,  gravity-capillary wave,  76B45,  76B25,  76B15 
@article{1222716957,
     author = {Akers, Benjamin and Milewski, Paul A.},
     title = {A stability result for solitary waves in nonlinear dispersive equations},
     journal = {Commun. Math. Sci.},
     volume = {6},
     number = {1},
     year = {2008},
     pages = { 791-797},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1222716957}
}

Akers, Benjamin; Milewski, Paul A. A stability result for solitary waves in nonlinear dispersive equations. Commun. Math. Sci., Tome 6 (2008) no. 1, pp.  791-797. http://gdmltest.u-ga.fr/item/1222716957/