Akers, B. and Milewski, P. A., 2008. A stability result for solitary waves in nonlinear dispersive equations. Communications in Mathematical Sciences, 6 (3), pp. 791-797.
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.
|Item Type ||Articles|
|Creators||Akers, B.and Milewski, P. A.|
|Departments||Faculty of Science > Mathematical Sciences|
|Publisher Statement||Milewski_CommMathSci_6_3_791.pdf: © International Press. First published in Communications in Mathematical Sciences in volume 6, number 3, 2008, published by International Press.|
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