Wang, Zhan; Părău, Emilian I.; Milewski, Paul A.; Vanden-Broeck, Jean-Marc Numerical study of interfacial solitary waves propagating under an elastic sheet. (English) Zbl 1371.76040 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 470, No. 2168, Article ID 20140111, 17 p. (2014). MSC: 76B25 76B55 76M15 76M25 86A05 86-08 PDFBibTeX XMLCite \textit{Z. Wang} et al., Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 470, No. 2168, Article ID 20140111, 17 p. (2014; Zbl 1371.76040) Full Text: DOI
Akers, Benjamin F.; Ambrose, David M.; Wright, J. Douglas Gravity perturbed Crapper waves. (English) Zbl 1371.76038 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 470, No. 2161, Article ID 20130526, 14 p. (2014). MSC: 76B25 76B45 35J65 35Q35 PDFBibTeX XMLCite \textit{B. F. Akers} et al., Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 470, No. 2161, Article ID 20130526, 14 p. (2014; Zbl 1371.76038) Full Text: DOI
Akylas, T. R.; Hwang, Guenbo; Yang, Jianke From non-local gap solitary waves to bound states in periodic media. (English) Zbl 1243.82057 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 468, No. 2137, 116-135 (2012). MSC: 82D30 35C08 35Q55 74J35 PDFBibTeX XMLCite \textit{T. R. Akylas} et al., Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 468, No. 2137, 116--135 (2012; Zbl 1243.82057) Full Text: DOI arXiv Link
Ablowitz, M. J.; Haut, T. S. Asymptotic expansions for solitary gravity-capillary waves in two and three dimensions. (English) Zbl 1186.35151 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 465, No. 2109, 2725-2749 (2009). MSC: 35Q35 35C08 35Q53 35C20 76B15 PDFBibTeX XMLCite \textit{M. J. Ablowitz} and \textit{T. S. Haut}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 465, No. 2109, 2725--2749 (2009; Zbl 1186.35151) Full Text: DOI Link
Adcock, T. A. A.; Taylor, P. H. Focusing of unidirectional wave groups on deep water: an approximate nonlinear Schrödinger equation-based model. (English) Zbl 1181.35182 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 465, No. 2110, 3083-3102 (2009). MSC: 35Q35 35Q55 76B25 76B15 35A35 PDFBibTeX XMLCite \textit{T. A. A. Adcock} and \textit{P. H. Taylor}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 465, No. 2110, 3083--3102 (2009; Zbl 1181.35182) Full Text: DOI
Chen, Jianqing; Guo, Boling; Han, Yongqian Blow up and instability of solitary wave solutions to a generalized Kadomtsev-Petviashvili equation and two-dimensional Benjamin-Ono equations. (English) Zbl 1155.35084 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 464, No. 2089, 49-64 (2008). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 35Q53 35Q51 35B35 35B40 PDFBibTeX XMLCite \textit{J. Chen} et al., Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 464, No. 2089, 49--64 (2008; Zbl 1155.35084) Full Text: DOI
Turnbull, Mattea R.; Swaters, Gordon E. Evolution of solitary marginal disturbances in baroclinic frontal geostrophic dynamics with dissipation and time-varying background flow. (English) Zbl 1347.76026 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 463, No. 2083, 1749-1769 (2007). MSC: 76E20 76B25 86A05 PDFBibTeX XMLCite \textit{M. R. Turnbull} and \textit{G. E. Swaters}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 463, No. 2083, 1749--1769 (2007; Zbl 1347.76026) Full Text: DOI
Deconinck, Bernard; Pelinovsky, Dmitry E.; Carter, John D. Transverse instabilities of deep-water solitary waves. (English) Zbl 1149.76627 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 462, No. 2071, 2039-2061 (2006). MSC: 76E99 76B25 PDFBibTeX XMLCite \textit{B. Deconinck} et al., Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 462, No. 2071, 2039--2061 (2006; Zbl 1149.76627) Full Text: DOI
Pelinovsky, Dmitry E. Inertia law for spectral stability of solitary waves in coupled nonlinear Schrödinger equations. (English) Zbl 1145.37333 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 461, No. 2055, 783-812 (2005). MSC: 37K45 35B35 35B42 35Q51 35Q55 37K10 PDFBibTeX XMLCite \textit{D. E. Pelinovsky}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 461, No. 2055, 783--812 (2005; Zbl 1145.37333) Full Text: DOI
Stastna, M.; Peltier, W. R. Upstream-propagating solitary waves and forced internal-wave breaking in stratified flow over a sill. (English) Zbl 1092.86003 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 460, No. 2051, 3159-3190 (2004). MSC: 86A05 76B25 76B55 76B70 PDFBibTeX XMLCite \textit{M. Stastna} and \textit{W. R. Peltier}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 460, No. 2051, 3159--3190 (2004; Zbl 1092.86003) Full Text: DOI
Bridges, Thomas J. On the susceptibility of bright nonlinear Schrödinger solitons to long-wave transverse instability. (English) Zbl 1068.35152 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 460, No. 2049, 2605-2615 (2004). MSC: 35Q55 78A60 37K45 PDFBibTeX XMLCite \textit{T. J. Bridges}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 460, No. 2049, 2605--2615 (2004; Zbl 1068.35152) Full Text: DOI
Johnson, R. S. On solutions of the Camassa-Holm equation. (English) Zbl 1039.76006 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 459, No. 2035, 1687-1708 (2003). MSC: 76B15 35Q53 35-04 35K40 35P25 35Q51 35R30 76B25 PDFBibTeX XMLCite \textit{R. S. Johnson}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 459, No. 2035, 1687--1708 (2003; Zbl 1039.76006) Full Text: DOI
Epstein, Marcelo; Johnston, Clifton R. On the exact speed and amplitude of solitary waves in fluid-filled elastic tubes. (English) Zbl 0984.76010 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 457, No. 2009, 1195-1213 (2001). MSC: 76B25 76M30 35Q51 74F10 PDFBibTeX XMLCite \textit{M. Epstein} and \textit{C. R. Johnston}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 457, No. 2009, 1195--1213 (2001; Zbl 0984.76010) Full Text: DOI
Calvo, David C.; Yang, T.-S.; Akylas, T. R. On the stability of solitary waves with decaying oscillatory tails. (English) Zbl 0952.35120 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 456, No. 1995, 469-487 (2000). Reviewer: Dimitar A.Kolev (Sofia) MSC: 35Q53 37L45 76B15 76B25 PDFBibTeX XMLCite \textit{D. C. Calvo} et al., Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 456, No. 1995, 469--487 (2000; Zbl 0952.35120) Full Text: DOI
Dai, Hui-Hui; Huo, Yi Solitary shock waves and other travelling waves in a general compressible hyperelastic rod. (English) Zbl 1004.74046 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 456, No. 1994, 331-363 (2000). Reviewer: Petre P.Teodorescu (Bucureşti) MSC: 74J40 74K10 74B20 PDFBibTeX XMLCite \textit{H.-H. Dai} and \textit{Y. Huo}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 456, No. 1994, 331--363 (2000; Zbl 1004.74046) Full Text: DOI
Bridges, Thomas J.; Derks, Gianne Unstable eigenvalues and the linearization about solitary waves and fronts with symmetry. (English) Zbl 0963.76039 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 455, No. 1987, 2427-2469 (1999). Reviewer: Eryk Infeld (Warszawa) MSC: 76E99 76B25 37N10 35B35 35Q51 PDFBibTeX XMLCite \textit{T. J. Bridges} and \textit{G. Derks}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 455, No. 1987, 2427--2469 (1999; Zbl 0963.76039) Full Text: DOI Link
Sun, S. M. Non-existence of truly solitary waves in water with small surface tension. (English) Zbl 0933.76014 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 455, No. 1986, 2191-2228 (1999). MSC: 76B25 76B45 35Q51 PDFBibTeX XMLCite \textit{S. M. Sun}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 455, No. 1986, 2191--2228 (1999; Zbl 0933.76014) Full Text: DOI
Ding, Shijin; Guo, Boling Solitary waves for two-dimensional Schrödinger-Kadomtsev-Petviashvili equations. (English) Zbl 0938.35164 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 455, No. 1985, 1875-1885 (1999). MSC: 35Q53 37K40 76F20 76X05 PDFBibTeX XMLCite \textit{S. Ding} and \textit{B. Guo}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 455, No. 1985, 1875--1885 (1999; Zbl 0938.35164) Full Text: DOI
Mays, Laurence; Norbury, John A note on solitary and periodic waves of a new kind. (English) Zbl 0933.76013 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 454, No. 1975, 1831-1834 (1998). MSC: 76B25 35Q35 35Q51 PDFBibTeX XMLCite \textit{L. Mays} and \textit{J. Norbury}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 454, No. 1975, 1831--1834 (1998; Zbl 0933.76013) Full Text: DOI
Matsuno, Y. Oblique interaction of interfacial solitary waves in a two-layer deep fluid. (English) Zbl 0932.76011 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 454, No. 1971, 835-856 (1998). Reviewer: Eryk Infeld (Warszawa) MSC: 76B25 76B70 PDFBibTeX XMLCite \textit{Y. Matsuno}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 454, No. 1971, 835--856 (1998; Zbl 0932.76011) Full Text: DOI