Guerziz, Allaoua; Laouar, Abdelhamid Passage of a long wave over a vertical barrier: calculation of the local disturbances by a complex variable method. (English) Zbl 1137.76014 Int. J. Math. Comput. Sci. 1, No. 3, 361-367 (2006). Summary: We calculate local disturbances caused by a long surface wave in a vicinity of an immersed vertical barrier. For that, we introduce the generalized theory of shallow water with the first-order approximation and a method of complex variable. Cited in 1 Document MSC: 76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction 76M40 Complex variables methods applied to problems in fluid mechanics 76M45 Asymptotic methods, singular perturbations applied to problems in fluid mechanics Keywords:first-order approximation PDF BibTeX XML Cite \textit{A. Guerziz} and \textit{A. Laouar}, Int. J. Math. Comput. Sci. 1, No. 3, 361--367 (2006; Zbl 1137.76014)