Alexander, M. E.; Morris, J. Ll. Galerkin methods applied to some model equations for non-linear dispersive waves. (English) Zbl 0407.76014 J. Comput. Phys. 30, 428-451 (1979). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 65 Documents MSC: 76B25 Solitary waves for incompressible inviscid fluids 35Q99 Partial differential equations of mathematical physics and other areas of application 41A15 Spline approximation 65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs Keywords:Galerkin method; nonlinear dispersive waves; soliton interacrion; regularized long wave equation; Korteweg-de Vries equation; numerical solution; cubic splines Software:IMSL Numerical Libraries PDFBibTeX XMLCite \textit{M. E. Alexander} and \textit{J. Ll. Morris}, J. Comput. Phys. 30, 428--451 (1979; Zbl 0407.76014) Full Text: DOI References: [1] Abdulloev, Kh. O.; Bogolubsky, I. L.; Makhankov, V. B., Phys. Lett., 56A, 427-428 (1976) [2] Benjamin, T. B.; Bona, J. L.; Mahoney, J. J., Philos. Trans. Roy. Soc. London Ser. A, 272, 47-48 (1972) [3] Eilbeck, J. C.; McGuire, G. R., J. Computational Physics, 19, 43-57 (1975) [4] Eilbeck, J. C.; McGuire, G. R., J. Computational Physics, 23, 63-73 (1977) [5] Gardner, G. S.; Green, J. M.; Kruskal, M. D.; Miura, R. M., Phys. Rev. Lett., 19, 1095-1097 (1967) [6] Greig, I. S., J. Computational Physics, 20, 64-80 (1976) [7] IMSL: International Mathematical and Statistical Libraries, Houston, Tex., 1975.; IMSL: International Mathematical and Statistical Libraries, Houston, Tex., 1975. [8] Korteweg, D. J.; de Vries, G., Philos. Mag., 39, 422-443 (1895) [9] Peregrine, D. H., J. Fluid Mech., 25, 321-330 (1966) [10] Schoenberg, I. J., Quart. Appl. Math., 4, 45-99 (1946) [11] Thomée, V.; Wendroff, B., SIAM J. Numer. Anal., 11, 1059-1068 (1974) [12] L. Wahlbin; L. Wahlbin [13] Wahlbin, L., Numer. Math., 23, 289-303 (1975) 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. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.