### Abstract

Original language | English |
---|---|

Pages (from-to) | 791-797 |

Number of pages | 7 |

Journal | Communications in Mathematical Sciences |

Volume | 6 |

Issue number | 3 |

Publication status | Published - Sep 2008 |

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### Cite this

*Communications in Mathematical Sciences*,

*6*(3), 791-797.

**A stability result for solitary waves in nonlinear dispersive equations.** / Akers, B; Milewski, Paul A.

Research output: Contribution to journal › Article

*Communications in Mathematical Sciences*, vol. 6, no. 3, pp. 791-797.

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TY - JOUR

T1 - A stability result for solitary waves in nonlinear dispersive equations

AU - Akers, B

AU - Milewski, Paul A

PY - 2008/9

Y1 - 2008/9

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=56349114397&partnerID=8YFLogxK

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

M3 - Article

VL - 6

SP - 791

EP - 797

JO - Communications in Mathematical Sciences

JF - Communications in Mathematical Sciences

SN - 1539-6746

IS - 3

ER -