Soliton perturbation theory for a higher order Hirota equation

S.M. Hoseini and T.R. Marchant

Mathematics and Computers in Simulation (MATCOM), 2009, vol. 80, issue 4, 770-778

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 (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:80:y:2009:i:4:p:770-778

DOI: 10.1016/j.matcom.2009.08.012

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