@techreport{b614537970374f51847779d07758be80,
title = "On the stability of solitary wave solutions of the 5th-order KdV equation",
abstract = "The Korteweg-de Vries equation with a fifth-order-derivative dispersive perturbation has been used as a model for a variety of physical phenomena including gravity-capillary water waves. It has recently been shown that this equation possesses infinitely many multi-pulsed stationary solitary wave solutions. Here it is argued based on the asymptotic theory of Gorshkov and Ostrovsky [Physica D, 3 (1981) 428-438] that half of the two-pulses are stable. Comparison with numerically obtained two-pulses shows that the asymptotic theory is remarkably accurate, and time integration of the full partial differential equations confirms the stability results",
keywords = "asymptotic theory, Korteweg-de Vries equation, multi-pulsed stationary solitary wave solutions, gravity-capillary water waves, fifth-order-derivative dispersive perturbation, Gorshkov and Ostrovsky, two-pulses",
author = "AV Buryak and AR Champneys",
note = "Additional information: Later published by Elsevier Science, (1997) Physics Letters A, 233 (1-2), pp. 58-62. ISSN 0375-9601 ",
year = "1996",
month = oct,
doi = "10.1016/S0375-9601(97)00453-2",
language = "English",
publisher = "University of Bristol",
address = "United Kingdom",
type = "WorkingPaper",
institution = "University of Bristol",
}