caa a22 4500 469100168 CHVBK 20180323133042.0 cr unu---uuuuu 170328e19920101xx s 000 0 eng 10.1007/BF01054177 doi (NATIONALLICENCE)springer-10.1007/BF01054177 Bakholdin I. Moscow aut Three-wave resonance and averaged equations of the interaction of two waves in media described by a cubic Schrödinger equation [Elektronische Daten] [I. Bakholdin] A numerical solution of a cubic Schrödinger equation established the phenomenon of Mach reflection of Stokes waves from a vertical wall [1]. In [2], this phenomenon was interpreted as the resonance interaction of three waves. This was based on the derivation of averaged equations of the interaction of two waves, the region of interaction of the incident and reflected waves being treated as a self-similar solution of these equations. The present paper establishes the possibility of describing these solutions by the relations of three-wave resonance; the mathematical significance of the resonance as splitting into two waves is revealed; and the properties of the averaged system are investigated. Plenum Publishing Corporation, 1992 Fluid Dynamics Kluwer Academic Publishers-Plenum Publishers 27/1(1992-01-01), 81-87 0015-4628 27:1<81 1992 27 10697 https://doi.org/10.1007/BF01054177 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01054177 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Bakholdin I. Moscow aut NATIONALLICENCE 773 0- Fluid Dynamics Kluwer Academic Publishers-Plenum Publishers 27/1(1992-01-01), 81-87 0015-4628 27:1<81 1992 27 10697 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer