Abstract: Communications on Pure and Applied MathematicsVolume 7, Issue 3 p. 517-550 Article The existence of solitary waves† K. O. Friedrichs, K. O. FriedrichsSearch for more papers by this authorD. H. Hyers, D. H. HyersSearch for more papers by this author K. O. Friedrichs, K. O. FriedrichsSearch for more papers by this authorD. H. Hyers, D. H. HyersSearch for more papers by this author First published: August 1954 https://doi.org/10.1002/cpa.3160070305Citations: 170 † This paper represents results obtained under Contract Nonr-285 (06), Office of Naval Research. AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onEmailFacebookTwitterLinkedInRedditWechat Bibliography 1 Boussinesq, J., Théorie de l'intumescence liquide appelée onde solitaire où de translation se propagant dans un canal rectangulaire, Comptes rendus de l'académie des sciences, Institut de France, 1871, pp. 755ff. Google Scholar 2 Lord Rayleigh, On waves, Philosophical Magazine (5), V. 1, 1876, pp. 257–279; 10.1080/14786447608639037 Google Scholar On periodical irrotational waves at the surface of deep water, Philosophical Magazines (6), V. 32, pp. 381–389. Google Scholar 3 Levi-Cività, T., Sulle onde progressive di lipo permànente, Rendiconti della accademia dei Lincei (5), 16H, 1907, pp. 776–790; Google Scholar Determination rigoureuse des ondes permanentes d'ampleur finie, Mathematische Annalen, V. 93, 1925, pp. 264–314. Google Scholar 4 Struik, D. J., Détermination rigoureuse des ondes irrotationelles périodiques dans un canal à profondeur finie, Mathematische Annalen, V. 95, 1926, pp. 595–634. Google Scholar 5 Weinstein, A., Sur la vitesse de propagation de l'onde solitaire, Rendiconti della accademia dei Lincei (6), V. 3, 1926, pp. 463 ff. Google Scholar 6 Lamb, H., Hydrodynamics, 6th edition, 1945, pp. 417–426. (Contains additional references.) Google Scholar 7 Lavrentiev, M., On the theory of long waves, Akad. Nauk Ukrain. R. S. R., Zbornik Prac. Inst. Mat. V. 1946, No. 8, 1947, pp. 13–69 (in Ukranian). Google Scholar 8 J. J. Stoker, The formation of breakers and bores: Appendix by K. O. Friedrichs, On the derivation of the shallow water theory, Communications on Pure and Applied Mathematics, V. 1, 1948, pp. 81–85. Google Scholar 9 Keller, J. B., The solitary wave and periodic waves in shallow water, Communications on Pure and Applied Mathematics, V. 1, 1948, pp. 323–329. 10.1002/cpa.3160010402 Web of Science®Google Scholar 10 John, F., On the motion of floating bodies, II: Appendix, Communications on Pure and Applied Mathematics, V. 3, 1950, pp. 92–100. 10.1002/cpa.3160030106 Web of Science®Google Scholar 11 Hildebrandt, T. H., and Graves, L. M., Implicit Functions and their differentials in general analysis, Transactions of the American Mathematical Society, V. 29, 1927, pp. 127–153. Google Scholar Citing Literature Volume7, Issue3August 1954Pages 517-550 ReferencesRelatedInformation
Publication Year: 1954
Publication Date: 1954-08-01
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 228
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