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Soliton perturbation theory for a higher-order Hirota equation
Mathematics and Computers in Simulation (2009)
  • Tim Marchant, Professor, University of Wollongong
Abstract

Solitary wave evolution for a higher order Hirota equation is examined. For the higher order Hirota equation resonance between the solitary waves and linear radiation causes radiation loss. Soliton perturbation theory is used to determine the details of the evolving wave and its tail. An analytical expression for the solitary wave tail is derived and compared to numerical solutions. An excellent comparison between numerical and theoretical solutions is obtained for both right- and left-moving waves. Also, a two-parameter family of higher order asymptotic embedded solitons is identified.

Keywords
  • Higher order Hirota equation; Embedded solitons; Soliton perturbation theory; Solitary wave tails
Disciplines
Publication Date
2009
Citation Information
Tim Marchant. "Soliton perturbation theory for a higher-order Hirota equation" Mathematics and Computers in Simulation Vol. 80 Iss. 4 (2009)
Available at: http://works.bepress.com/tim_marchant/5/