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A stability result for solitary waves in nonlinear dispersive equations


Reference:

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.

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    Official URL:

    http://www.intlpress.com/CMS/2008/issue6-3/

    Abstract

    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.

    Details

    Item Type Articles
    CreatorsAkers, B.and Milewski, P. A.
    DepartmentsFaculty of Science > Mathematical Sciences
    Publisher StatementMilewski_CommMathSci_6_3_791.pdf: © International Press. First published in Communications in Mathematical Sciences in volume 6, number 3, 2008, published by International Press.
    RefereedYes
    StatusPublished
    ID Code26728

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