Abstract
The axially symmetric Korteweg-de Vries (KdV) equation for the case of a constant-depth basin was obtained in [1]. In the present paper we derive the axially symmetric KdV equation for a varying-depth basin. Conditions are shown for the equation obtained, under which the asymptotic behavior of its solution is described by an equation of the form
whose asymptotic behavior is well known [2].
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Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 6, pp. 24–32, November–December, 1980.
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Lugovtsov, A.A. Axially symmetric long waves on the surface of a varying-depth basin. J Appl Mech Tech Phys 21, 759–765 (1980). https://doi.org/10.1007/BF00912132
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DOI: https://doi.org/10.1007/BF00912132