Bona, Jerry L.; Durán, Angel; Mitsotakis, Dimitrios Solitary-wave solutions of Benjamin-Ono and other systems for internal waves. I: Approximations. (English) Zbl 1460.76146 Discrete Contin. Dyn. Syst. 41, No. 1, 87-111 (2021). MSC: 76B55 76B25 76M22 65M70 PDFBibTeX XMLCite \textit{J. L. Bona} et al., Discrete Contin. Dyn. Syst. 41, No. 1, 87--111 (2021; Zbl 1460.76146) Full Text: DOI
Bona, Jerry L.; Chen, Hongqiu; Karakashian, Ohannes; Wise, Michael M. Finite element methods for a system of dispersive equations. (English) Zbl 1406.65083 J. Sci. Comput. 77, No. 3, 1371-1401 (2018). MSC: 65M60 35Q35 35Q51 35Q53 35Q86 76B15 76B25 65M12 65M15 PDFBibTeX XMLCite \textit{J. L. Bona} et al., J. Sci. Comput. 77, No. 3, 1371--1401 (2018; Zbl 1406.65083) Full Text: DOI
Bona, Jerry L.; Chen, Hongqiu; Hsia, Chun-Hsiung Global well-posedness and singularity propagation for the BBM-BBM system on a quarter plane. (English) Zbl 1382.35207 Adv. Differ. Equ. 21, No. 3-4, 301-332 (2016). MSC: 35Q35 35M33 35B30 35G61 45G15 76B03 35Q51 35Q53 76B15 76B25 76B55 PDFBibTeX XMLCite \textit{J. L. Bona} et al., Adv. Differ. Equ. 21, No. 3--4, 301--332 (2016; Zbl 1382.35207) Full Text: Euclid
Bona, Jerry L.; Chen, Hongqiu; Hsia, Chun-Hsiung Well-posedness for the \(BBM\)-equation in a quarter plane. (English) Zbl 1302.35309 Discrete Contin. Dyn. Syst., Ser. S 7, No. 6, 1149-1163 (2014). MSC: 35Q35 76B03 35Q51 35Q86 76B15 PDFBibTeX XMLCite \textit{J. L. Bona} et al., Discrete Contin. Dyn. Syst., Ser. S 7, No. 6, 1149--1163 (2014; Zbl 1302.35309) Full Text: DOI
Chen, Hongqiu; Bona, Jerry L. Periodic traveling-wave solutions of nonlinear dispersive evolution equations. (English) Zbl 1277.35096 Discrete Contin. Dyn. Syst. 33, No. 11-12, 4841-4873 (2013). MSC: 35C07 35C08 35Q35 35Q51 35Q53 35S10 76B15 76B25 35C10 35Q86 86A05 PDFBibTeX XMLCite \textit{H. Chen} and \textit{J. L. Bona}, Discrete Contin. Dyn. Syst. 33, No. 11--12, 4841--4873 (2013; Zbl 1277.35096) Full Text: DOI
Bona, J. L.; Chen, H.; Karakashian, O.; Xing, Y. Conservative, discontinuous Galerkin-methods for the generalized Korteweg-de Vries equation. (English) Zbl 1276.65058 Math. Comput. 82, No. 283, 1401-1432 (2013). Reviewer: Constantin Popa (Constanţa) MSC: 65M60 35Q35 35Q51 35Q53 35Q86 76B15 76B25 65M20 65M15 PDFBibTeX XMLCite \textit{J. L. Bona} et al., Math. Comput. 82, No. 283, 1401--1432 (2013; Zbl 1276.65058) Full Text: DOI
Bona, Jerry L.; Colin, Thierry; Guillopé, Colette Propagation of long-crested water waves. (English) Zbl 1302.35310 Discrete Contin. Dyn. Syst. 33, No. 2, 599-628 (2013). MSC: 35Q35 35A01 35A02 35A09 35B30 76B03 76B15 35Q51 76B25 PDFBibTeX XMLCite \textit{J. L. Bona} et al., Discrete Contin. Dyn. Syst. 33, No. 2, 599--628 (2013; Zbl 1302.35310) Full Text: DOI
Ambrose, David M.; Bona, Jerry L.; Nicholls, David P. Well-posedness of a model for water waves with viscosity. (English) Zbl 1238.35093 Discrete Contin. Dyn. Syst., Ser. B 17, No. 4, 1113-1137 (2012). MSC: 35Q35 76B15 76B03 76B07 35R35 PDFBibTeX XMLCite \textit{D. M. Ambrose} et al., Discrete Contin. Dyn. Syst., Ser. B 17, No. 4, 1113--1137 (2012; Zbl 1238.35093) Full Text: DOI
Bona, Jerry L.; Luo, Laihan Large-time asymptotics of the generalized Benjamin-Ono-Burgers equation. (English) Zbl 1218.35035 Discrete Contin. Dyn. Syst., Ser. S 4, No. 1, 15-50 (2011). Reviewer: Athanasios Yannacopoulos (Athens) MSC: 35B40 35C20 35Q35 76D03 76D09 35R09 PDFBibTeX XMLCite \textit{J. L. Bona} and \textit{L. Luo}, Discrete Contin. Dyn. Syst., Ser. S 4, No. 1, 15--50 (2011; Zbl 1218.35035) Full Text: DOI
Bona, J. L.; Chen, H.; Sun, S.-M.; Zhang, B.-Y. Approximating initial-value problems with two-point boundary-value problems: BBM-equation. (English) Zbl 1218.35203 Bull. Iran. Math. Soc. 36, No. 1, 1-25 (2010). MSC: 35Q53 76B03 76B15 45G10 65M99 PDFBibTeX XMLCite \textit{J. L. Bona} et al., Bull. Iran. Math. Soc. 36, No. 1, 1--25 (2010; Zbl 1218.35203)
Bona, Jerry L.; Saut, Jean-Claude Dispersive blow-up. II: Schrödinger-type equations, optical and oceanic rogue waves. (English) Zbl 1204.35132 Chin. Ann. Math., Ser. B 31, No. 6, 793-818 (2010). MSC: 35Q35 35Q51 35Q53 35Q55 35Q60 35Q86 76B03 76B15 76B45 76F99 78A60 PDFBibTeX XMLCite \textit{J. L. Bona} and \textit{J.-C. Saut}, Chin. Ann. Math., Ser. B 31, No. 6, 793--818 (2010; Zbl 1204.35132) Full Text: DOI
Bona, Jerry L.; Pilod, Didier Stability of solitary-wave solutions to the Hirota-Satsuma equation. (English) Zbl 1192.35146 Discrete Contin. Dyn. Syst. 27, No. 4, 1391-1413 (2010). MSC: 35Q53 35B35 76B25 35A15 76B15 PDFBibTeX XMLCite \textit{J. L. Bona} and \textit{D. Pilod}, Discrete Contin. Dyn. Syst. 27, No. 4, 1391--1413 (2010; Zbl 1192.35146) Full Text: DOI
Bona, Jerry L.; Grujić, Zoran; Kalisch, Henrik A KdV-type Boussinesq system: From the energy level to analytic spaces. (English) Zbl 1183.35226 Discrete Contin. Dyn. Syst. 26, No. 4, 1121-1139 (2010). MSC: 35Q35 35Q53 76B07 76B15 PDFBibTeX XMLCite \textit{J. L. Bona} et al., Discrete Contin. Dyn. Syst. 26, No. 4, 1121--1139 (2010; Zbl 1183.35226) Full Text: DOI
Bona, Jerry; Chen, Hongqiu Well-posedness for regularized nonlinear dispersive wave equations. (English) Zbl 1158.35412 Discrete Contin. Dyn. Syst. 23, No. 4, 1253-1275 (2009). MSC: 35Q53 35B45 76B03 76B15 45G10 PDFBibTeX XMLCite \textit{J. Bona} and \textit{H. Chen}, Discrete Contin. Dyn. Syst. 23, No. 4, 1253--1275 (2009; Zbl 1158.35412) Full Text: DOI
Bona, J. L.; Dougalis, V. A.; Mitsotakis, D. E. Numerical solution of Boussinesq systems of KdV-KdV type. II: Evolution of radiating solitary waves. (English) Zbl 1158.35411 Nonlinearity 21, No. 12, 2825-2848 (2008). MSC: 35Q53 65M60 65M15 76B15 76B25 PDFBibTeX XMLCite \textit{J. L. Bona} et al., Nonlinearity 21, No. 12, 2825--2848 (2008; Zbl 1158.35411) Full Text: DOI
Bona, J. L.; Lannes, D.; Saut, J.-C. Asymptotic models for internal waves. (English) Zbl 1138.76028 J. Math. Pures Appl. (9) 89, No. 6, 538-566 (2008). MSC: 76B55 76M45 PDFBibTeX XMLCite \textit{J. L. Bona} et al., J. Math. Pures Appl. (9) 89, No. 6, 538--566 (2008; Zbl 1138.76028) Full Text: DOI arXiv
Bona, Jerry L.; Chen, Hongqiu; Sun, Shu-Ming; Zhang, Bing-Yu Comparison of quarter-plane and two-point boundary value problems: the KdV-equation. (English) Zbl 1123.35052 Discrete Contin. Dyn. Syst., Ser. B 7, No. 3, 465-495 (2007). Reviewer: Igor Andrianov (Köln) MSC: 35Q53 76B03 PDFBibTeX XMLCite \textit{J. L. Bona} et al., Discrete Contin. Dyn. Syst., Ser. B 7, No. 3, 465--495 (2007; Zbl 1123.35052) Full Text: DOI
Bona, J. L.; Dougalis, V. A.; Mitsotakis, D. E. Numerical solution of KdV-KdV systems of Boussinesq equations. I: The numerical scheme and generalized solitary waves. (English) Zbl 1158.35410 Math. Comput. Simul. 74, No. 2-3, 214-228 (2007). MSC: 35Q53 76M10 76B25 PDFBibTeX XMLCite \textit{J. L. Bona} et al., Math. Comput. Simul. 74, No. 2--3, 214--228 (2007; Zbl 1158.35410) Full Text: DOI
Angulo Pava, Jaime; Bona, Jerry L.; Scialom, Marcia Stability of cnoidal waves. (English) Zbl 1147.35079 Adv. Differ. Equ. 11, No. 12, 1321-1374 (2006). MSC: 35Q53 35Q51 35B10 35B35 37K15 37K40 76B25 76E99 PDFBibTeX XMLCite \textit{J. Angulo Pava} et al., Adv. Differ. Equ. 11, No. 12, 1321--1374 (2006; Zbl 1147.35079)
Alazman, A. A.; Albert, J. P.; Bona, J. L.; Chen, M.; Wu, J. Comparisons between the BBM equation and a Boussinesq system. (English) Zbl 1104.35039 Adv. Differ. Equ. 11, No. 2, 121-166 (2006). MSC: 35Q35 65R20 76B15 76B03 76B07 76B25 31A10 PDFBibTeX XMLCite \textit{A. A. Alazman} et al., Adv. Differ. Equ. 11, No. 2, 121--166 (2006; Zbl 1104.35039)
Bona, Jerry L.; Colin, Thierry; Lannes, David Long wave approximations for water waves. (English) Zbl 1108.76012 Arch. Ration. Mech. Anal. 178, No. 3, 373-410 (2005). MSC: 76B15 35Q35 35Q53 76B03 PDFBibTeX XMLCite \textit{J. L. Bona} et al., Arch. Ration. Mech. Anal. 178, No. 3, 373--410 (2005; Zbl 1108.76012) Full Text: DOI
Bona, Jerry L.; Chen, Hongqiu; Sun, Shu Ming; Zhang, B.-Y. Comparison of quarter-plane and two-point boundary value problems: the BBM-equation. (English) Zbl 1088.35057 Discrete Contin. Dyn. Syst. 13, No. 4, 921-940 (2005). Reviewer: Qin Mengzhao (Beijing) MSC: 35Q53 76B15 76B03 45G10 65M99 PDFBibTeX XMLCite \textit{J. L. Bona} et al., Discrete Contin. Dyn. Syst. 13, No. 4, 921--940 (2005; Zbl 1088.35057) Full Text: DOI
Bona, J. L.; Chen, M.; Saut, J.-C. Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media. II: The nonlinear theory. (English) Zbl 1059.35103 Nonlinearity 17, No. 3, 925-952 (2004). MSC: 35Q35 76B15 35B35 76B03 35B30 PDFBibTeX XMLCite \textit{J. L. Bona} et al., Nonlinearity 17, No. 3, 925--952 (2004; Zbl 1059.35103) Full Text: DOI Link
Bona, Jerry L.; Wu, Jiahong The zero-viscosity limit of the 2D Navier-Stokes equations. (English) Zbl 1141.35431 Stud. Appl. Math. 109, No. 4, 265-278 (2002). MSC: 35Q30 76B03 76D05 PDFBibTeX XMLCite \textit{J. L. Bona} and \textit{J. Wu}, Stud. Appl. Math. 109, No. 4, 265--278 (2002; Zbl 1141.35431) Full Text: DOI
Bona, Jerry L.; Liu, Yue; Tom, Michael M. The Cauchy problem and stability of solitary-wave solutions for RLW–KP-type equations. (English) Zbl 1023.35085 J. Differ. Equations 185, No. 2, 437-482 (2002). MSC: 35Q53 37K45 76B25 PDFBibTeX XMLCite \textit{J. L. Bona} et al., J. Differ. Equations 185, No. 2, 437--482 (2002; Zbl 1023.35085) Full Text: DOI
Angulo, J.; Bona, J. L.; Linares, F.; Scialom, M. Scaling, stability and singularities for nonlinear, dispersive wave equations: The critical case. (English) Zbl 1034.35116 Nonlinearity 15, No. 3, 759-786 (2002). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 35Q53 35Q55 76B15 76B25 37K45 PDFBibTeX XMLCite \textit{J. Angulo} et al., Nonlinearity 15, No. 3, 759--786 (2002; Zbl 1034.35116) Full Text: DOI
Bona, Jerry L.; Sun, S. M.; Zhang, Bing-Yu A non-homogeneous boundary-value problem for the Korteweg-de Vries equation in a quarter plane. (English) Zbl 0988.35141 Trans. Am. Math. Soc. 354, No. 2, 427-490 (2002). Reviewer: G.F.Roach (Glasgow) MSC: 35Q53 76B03 76B15 PDFBibTeX XMLCite \textit{J. L. Bona} et al., Trans. Am. Math. Soc. 354, No. 2, 427--490 (2002; Zbl 0988.35141) Full Text: DOI
Bona, J. L.; McKinney, W. R.; Restrepo, J. M. Stable and unstable solitary-wave solutions of the generalized regularized long-wave equation. (English) Zbl 0972.35131 J. Nonlinear Sci. 10, No. 6, 603-638 (2000). MSC: 35Q53 37K45 37M05 76B25 PDFBibTeX XMLCite \textit{J. L. Bona} et al., J. Nonlinear Sci. 10, No. 6, 603--638 (2000; Zbl 0972.35131) Full Text: DOI
Kalisch, Henrik; Bona, Jerry L. Solitary waves in a two-fluid system that includes surface tension. (English) Zbl 0960.76017 Bermúdez, Alfredo (ed.) et al., Mathematical and numerical aspects of wave propagation. 5th international conference, Santiago de Compostela, Spain, July 10-14, 2000. Philadelphia, PA: SIAM, Society for Industrial and Applied Mathematics. 324-328 (2000). MSC: 76B25 76B55 35Q51 76B45 PDFBibTeX XMLCite \textit{H. Kalisch} and \textit{J. L. Bona}, in: Mathematical and numerical aspects of wave propagation. 5th international conference, Santiago de Compostela, Spain, July 10--14, 2000. Philadelphia, PA: SIAM, Society for Industrial and Applied Mathematics; Rocquencourt: INRIA, Institut National de Recherche en Informatique et en Automatique. 324--328 (2000; Zbl 0960.76017)
Kalisch, Henrik; Bona, Jerry L. Models for internal waves in deep water. (English) Zbl 1021.76006 Discrete Contin. Dyn. Syst. 6, No. 1, 1-20 (2000). MSC: 76B55 76B25 35Q51 PDFBibTeX XMLCite \textit{H. Kalisch} and \textit{J. L. Bona}, Discrete Contin. Dyn. Syst. 6, No. 1, 1--20 (2000; Zbl 1021.76006) Full Text: DOI
Albert, John P.; Bona, Jerry L.; Restrepo, Juan Mario Solitary-wave solutions of the Benjamin equation. (English) Zbl 0945.76012 SIAM J. Appl. Math. 59, No. 6, 2139-2161 (1999). Reviewer: B.A.Malomed (Tel Aviv) MSC: 76B25 76B55 35Q35 35Q51 76B45 PDFBibTeX XMLCite \textit{J. P. Albert} et al., SIAM J. Appl. Math. 59, No. 6, 2139--2161 (1999; Zbl 0945.76012) Full Text: DOI
Chen, Hongqiu; Bona, Jerry L. Existence and asymptotic properties of solitary-wave solutions of Benjamin-type equations. (English) Zbl 0944.35082 Adv. Differ. Equ. 3, No. 1, 51-84 (1998). MSC: 35Q53 76B15 37K40 35Q51 46N20 76B25 PDFBibTeX XMLCite \textit{H. Chen} and \textit{J. L. Bona}, Adv. Differ. Equ. 3, No. 1, 51--84 (1998; Zbl 0944.35082)
Bona, Jerry L.; Chen, Min A Boussinesq system for two-way propagation of nonlinear dispersive waves. (English) Zbl 0962.76515 Physica D 116, No. 1-2, 191-224 (1998). MSC: 76B15 76B25 35Q51 PDFBibTeX XMLCite \textit{J. L. Bona} and \textit{M. Chen}, Physica D 116, No. 1--2, 191--224 (1998; Zbl 0962.76515) Full Text: DOI
Bona, Jerry L.; Li, Yi A. Decay and analyticity of solitary waves. (English) Zbl 0878.35098 J. Math. Pures Appl., IX. Sér. 76, No. 5, 377-430 (1997). Reviewer: Y.A.Li (Minneapolis) MSC: 35Q53 35B40 35Q51 35B65 35Q55 45E10 76B15 76B25 PDFBibTeX XMLCite \textit{J. L. Bona} and \textit{Y. A. Li}, J. Math. Pures Appl. (9) 76, No. 5, 377--430 (1997; Zbl 0878.35098) Full Text: DOI
Biagioni, H. A.; Bona, J. L.; Iorio, R. J. jun.; Scialom, M. On the Korteweg-de Vries-Kuramoto-Sivashinsky equation. (English) Zbl 0844.35103 Adv. Differ. Equ. 1, No. 1, 1-20 (1996). MSC: 35Q53 35B30 35B45 35B65 76B15 76D33 76E30 PDFBibTeX XMLCite \textit{H. A. Biagioni} et al., Adv. Differ. Equ. 1, No. 1, 1--20 (1996; Zbl 0844.35103)
Restrepo, Juan Mario; Bona, Jerry L. Three-dimensional model for the formation of longshore sand structures on the continental shelf. (English) Zbl 0833.76009 Nonlinearity 8, No. 5, 781-820 (1995). MSC: 76B15 76D33 86A05 PDFBibTeX XMLCite \textit{J. M. Restrepo} and \textit{J. L. Bona}, Nonlinearity 8, No. 5, 781--820 (1995; Zbl 0833.76009) Full Text: DOI
Bona, J. L.; Rajopadhye, S. V.; Schonbek, M. E. Models for propagation of bores. I: Two dimensional theory. (English) Zbl 0808.35122 Differ. Integral Equ. 7, No. 3-4, 699-734 (1994). MSC: 35Q51 35B35 35Q53 76B15 76B25 35B30 PDFBibTeX XMLCite \textit{J. L. Bona} et al., Differ. Integral Equ. 7, No. 3--4, 699--734 (1994; Zbl 0808.35122)
Bona, Jerry L.; Ponce, Gustavo; Saut, Jean-Claude; Tom, Michael M. A model system for strong interaction between internal solitary waves. (English) Zbl 0752.35056 Commun. Math. Phys. 143, No. 2, 287-313 (1992). Reviewer: Y.Kivshar (Düsseldorf) MSC: 35Q53 76B55 PDFBibTeX XMLCite \textit{J. L. Bona} et al., Commun. Math. Phys. 143, No. 2, 287--313 (1992; Zbl 0752.35056) Full Text: DOI
Abergel, F.; Bona, J. L. A mathematical theory for viscous, free-surface flows over a perturbed plane. (English) Zbl 0765.76024 Arch. Ration. Mech. Anal. 118, No. 1, 71-93 (1992). Reviewer: F.Rosso (Firenze) MSC: 76D99 35R35 PDFBibTeX XMLCite \textit{F. Abergel} and \textit{J. L. Bona}, Arch. Ration. Mech. Anal. 118, No. 1, 71--93 (1992; Zbl 0765.76024) Full Text: DOI
Albert, J. P.; Bona, J. L. Total positivity and the stability of internal waves in stratified fluids of finite depth. (English) Zbl 0723.76106 IMA J. Appl. Math. 46, No. 1-2, 1-19 (1991). Reviewer: A.R.Rao (Bangalore) MSC: 76V05 76B55 76E99 PDFBibTeX XMLCite \textit{J. P. Albert} and \textit{J. L. Bona}, IMA J. Appl. Math. 46, No. 1--2, 1--19 (1991; Zbl 0723.76106) Full Text: DOI Link
Bona, Jerry L.; Sachs, Robert L. The existence of internal solitary waves in a two-fluid system near the KdV limit. (English) Zbl 0708.76136 Geophys. Astrophys. Fluid Dyn. 48, No. 1-3, 25-51 (1989). MSC: 76T99 76B55 35Q53 PDFBibTeX XMLCite \textit{J. L. Bona} and \textit{R. L. Sachs}, Geophys. Astrophys. Fluid Dyn. 48, No. 1--3, 25--51 (1989; Zbl 0708.76136) Full Text: DOI
Abdelouhab, L.; Bona, J. L.; Felland, M.; Saut, J.-C. Nonlocal models for nonlinear, dispersive waves. (English) Zbl 0699.35227 Physica D 40, No. 3, 360-392 (1989). Reviewer: P.K.Mahanti MSC: 35Q99 76B55 76B15 PDFBibTeX XMLCite \textit{L. Abdelouhab} et al., Physica D 40, No. 3, 360--392 (1989; Zbl 0699.35227) Full Text: DOI
Bona, J. L.; Souganidis, P. E.; Strauss, W. A. Stability and instability of solitary waves of Korteweg-de Vries type. (English) Zbl 0648.76005 Proc. R. Soc. Lond., Ser. A 411, 395-412 (1987). Reviewer: H.Lange MSC: 76B15 76B25 35Q99 PDFBibTeX XMLCite \textit{J. L. Bona} et al., Proc. R. Soc. Lond., Ser. A 411, 395--412 (1987; Zbl 0648.76005) Full Text: DOI
Albert, J. P.; Bona, J. L.; Henry, D. B. Sufficient conditions for stability of solitary-wave solutions of model equations for long waves. (English) Zbl 0634.35079 Physica D 24, 343-366 (1987). MSC: 35Q99 35B35 76B25 PDFBibTeX XMLCite \textit{J. P. Albert} et al., Physica D 24, 343--366 (1987; Zbl 0634.35079) Full Text: DOI
Bennett, D. P.; Brown, R. W.; Stansfield, S. E.; Stroughair, J. D.; Bona, J. L. The stability of internal solitary waves. (English) Zbl 0553.76043 Math. Proc. Camb. Philos. Soc. 98, 351-379 (1985). Reviewer: A.Vaněček MSC: 76E30 76B25 PDFBibTeX XMLCite \textit{D. P. Bennett} et al., Math. Proc. Camb. Philos. Soc. 98, 351--379 (1984; Zbl 0553.76043)
Bennett, D. P.; Brown, R. W.; Stansfield, S. E.; Stroughair, J. D.; Bona, J. L. The stability of internal solitary waves. (English) Zbl 0574.76028 Math. Proc. Camb. Philos. Soc. 94, 351-379 (1983). Reviewer: A.Jeffrey MSC: 76B55 76B25 PDFBibTeX XMLCite \textit{D. P. Bennett} et al., Math. Proc. Camb. Philos. Soc. 94, 351--379 (1983; Zbl 0574.76028) Full Text: DOI
Bona, J. L.; Bose, D. K.; Turner, R. E. L. Finite-amplitude steady waves in stratified fluids. (English) Zbl 0491.35049 J. Math. Pures Appl., IX. Sér. 62, 389-439 (1983). MSC: 35J60 76B25 76B55 35J20 PDFBibTeX XMLCite \textit{J. L. Bona} et al., J. Math. Pures Appl. (9) 62, 389--439 (1983; Zbl 0491.35049)
Bona, Jerry L. On solitary waves and their role in the evolution of long waves. (English) Zbl 0498.76023 Applications of nonlinear analysis in the physical sciences, Pap. Workshop, Bielefeld 1979, 183-205 (1981). MSC: 76B25 76B15 76E30 35Q99 76-02 PDFBibTeX XML
Bona, J. L.; Pritchard, W. G.; Scott, L. R. An evaluation of a model equation for water waves. (English) Zbl 0497.76023 Philos. Trans. R. Soc. Lond., A 302, 458-510 (1981). MSC: 76B15 76B25 76M99 PDFBibTeX XMLCite \textit{J. L. Bona} et al., Philos. Trans. R. Soc. Lond., Ser. A 302, 458--510 (1981; Zbl 0497.76023) Full Text: DOI
Bona, Jerry L. Convergence of periodic wavetrains in the limit of large wavelength. (English) Zbl 0469.76018 Appl. Sci. Res. 37, 21-30 (1981). MSC: 76B25 76B15 35Q99 PDFBibTeX XMLCite \textit{J. L. Bona}, Appl. Sci. Res. 37, 21--30 (1981; Zbl 0469.76018) Full Text: DOI
Bona, Jerry Model equations for waves in nonlinear dispersive systems. (English) Zbl 0428.76017 Proc. int. Congr. Math., Helsinki 1978, Vol. 2, 887-894 (1980). MSC: 76B15 76B25 35F20 PDFBibTeX XML
Bona, Jerry L.; Pritchard, W. G.; Scott, L. Ridgway Solitary-wave interaction. (English) Zbl 0425.76019 Phys. Fluids 23, 438-441 (1980). MSC: 76B25 65Z05 PDFBibTeX XMLCite \textit{J. L. Bona} et al., Phys. Fluids 23, 438--441 (1980; Zbl 0425.76019) Full Text: DOI
Bona, J. L.; Bose, D. K.; Benjamin, T. B. Solitary-wave solutions for some model equations for waves in nonlinear dispersive media. (English) Zbl 0346.76012 Appl. Methods Funct. Anal. Probl. Mech., IUTAM/IMU-Symp. Marseille 1975, Lect. Notes Math. 503, 207-218 (1976). MSC: 76B25 46N99 76B15 PDFBibTeX XML
Bona, J. On the stability theory of solitary waves. (English) Zbl 0328.76016 Proc. R. Soc. Lond., Ser. A 344, 363-374 (1975). MSC: 76B25 76B15 PDFBibTeX XMLCite \textit{J. Bona}, Proc. R. Soc. Lond., Ser. A 344, 363--374 (1975; Zbl 0328.76016) Full Text: DOI