Yue, Dick K. P.; Mei, Chiang C. Forward diffraction of Stokes waves by a thin wedge. (English) Zbl 0437.76017 J. Fluid Mech. 99, 33-52 (1980). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 18 Documents MSC: 76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction 35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation 35J10 Schrödinger operator, Schrödinger equation 35J65 Nonlinear boundary value problems for linear elliptic equations 35K60 Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations 65Z05 Applications to the sciences Keywords:thin wedge; Stokes waves; Helmholtz equation; shallow-water waves; long thin body; nonlinear diffraction; multiple-scale expansions; cubic Schrödinger equation; Mach stems PDF BibTeX XML Cite \textit{D. K. P. Yue} and \textit{C. C. Mei}, J. Fluid Mech. 99, 33--52 (1980; Zbl 0437.76017) Full Text: DOI OpenURL References: [1] Raman, J. Ship Res. 21 pp 120– (1977) [2] Perroud, Univ. of California, Berkeley, IER Tech. Rep. 28 pp 889– (1957) [3] Nielsen, Univ. of California, Berkeley, IER Tech. Rep. 28 pp 889– (1962) [4] Fock, J. Phys. U.S.S.R. 10 pp 399– (1946) [5] Davey, Proc. Roy. Soc. A 338 pp 101– (1974) [6] Davey, J. Fluid Mech. 53 pp 769– (1972) [7] Chu, J. Fluid Mech. 41 pp 873– (1970) [8] Chen, U.S. Beach Erosion Board Tech. Memo. 22 pp 266– (1961) [9] Chakrabarti, J. Ship. Res. 22 pp 266– (1978) [10] Benney, Stud. Appl. Math. 48 pp 377– (1969) · Zbl 0216.52904 [11] Benjamin, J. Fluid Mech. 27 pp 417– (1967) [12] Molin, Appl. Ocean Res. 28 pp 889– (1979) [13] DOI: 10.1007/BF01603824 · Zbl 0373.76016 [14] Miles, J. Fluid Mech. 79 pp 171– (1977) [15] Mei, SIAM J. Appl. Math. 198 pp 454– (1980) [16] Lighthill, Proc. Roy. Soc. A 198 pp 454– (1949) [17] Leontovich, Izv. Akad. Nauk S.S.S.R. 8 pp 16– (1944) [18] Isaacson, J. Waterways, Port, Coastal and Ocean Div., A.S.C.E. 101 pp 166– (1977) [19] Zakharov, Sov. Phys., J. Exp. Theor. Phys. 34 pp 62– (1972) [20] Whitham, Proc. Roy. Soc. A 299 pp 6– (1967) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.