Edit Profile (opens in new tab) Bona, Jerry Lloyd Co-Author Distance Author ID: bona.jerry-l Published as: Bona, Jerry L.; Bona, J. L.; Bona, Jerry; Bona, J. more...less Homepage: http://homepages.math.uic.edu/~bona/ External Links: MGP · ORCID · Wikidata · dblp · GND · IdRef Documents Indexed: 151 Publications since 1972 10 Contributions as Editor · 1 Further Contribution Co-Authors: 124 Co-Authors with 155 Joint Publications 3,016 Co-Co-Authors all top 5 Co-Authors 7 single-authored 16 Chen, Hongqiu 12 Zhang, Bingyu 11 Sun, Shuming 10 Saut, Jean-Claude 9 Karakashian, Ohannes A. 8 Albert, John P. 8 Dougalis, Vassilios A. 8 Scialom, Marcia 7 Kalisch, Henrik 6 Chen, Min 6 Luo, Laihan 6 McKinney, William R. 6 Weissler, Fred B. 5 Colin, Thierry 5 Scott, Larkin Ridgway 4 Angulo Pava, Jaime 4 Bose, Deb Kumar 4 Grujić, Zoran 4 Lannes, David 4 Pritchard, W. G. 4 Restrepo, Juan Mario 4 Wu, Jiahong 3 Ambrose, David M. 3 Benjamin, Thomas Brooke 3 Guillopé, Colette 3 Hsia, Chun-Hsiung 3 Linares, Felipe 3 Liu, Yue 3 Mitsotakis, Dimitrios E. 3 Ponce, Gustavo 3 Promislow, Keith Steven 3 Schonbek, Maria Elena 3 Smith, Ronald 2 Bennett, Derek P. 2 Brown, Robert W. 2 Felland, M. 2 Li, Yi A. 2 Nguyen, Nghiem V. 2 Nicholls, David P. 2 Sachs, Robert L. 2 Santos, Manuel S. 2 Stansfield, S. E. 2 Stroughair, J. D. 2 Taha, Thiab R. 2 Tom, Michael Mudi 2 Winther, Ragnar 1 Abdelouhab, Laziz 1 Abergel, Frédéric 1 Ablowitz, Mark Jay 1 Alazman, A. A. 1 Amick, Charles J. 1 Beals, Richard W. 1 Beceanu, Marius 1 Berestycki, Henri 1 Biagioni, Hebe A. 1 Boczar-Karakiewicz, B. 1 Brézis, Haïm 1 Bryant, Peter J. 1 Carvajal, Xavier Paredes 1 Cascaval, Radu C. 1 Chanillo, Sagun 1 Chen, Geng 1 Choudhury, Sudipto Roy 1 Cohen, Amy 1 Cohen, D. L. 1 Colin, Mathieu 1 Dafermos, Constantine 1 Dai, Mimi 1 de Bouard, Anne 1 Guedes de Figueiredo, Djairo 1 Debnath, Lokenath 1 Demengel, Françoise 1 Duran, Angel 1 Ericksen, Jerald Laverne 1 Esfahani, Amin 1 Fokas, Athanassios S. 1 Groves, Mark D. 1 Haragus, Mariana 1 Henry, Daniel B. 1 Hong, Youngjoon 1 Iorio, Rafael José jun. 1 Kaup, David J. 1 Kinderlehrer, David 1 Lebowitz, Joel Louis 1 Lenells, Jonatan 1 Li, Jenny X. 1 Lopes, Orlando Francisco 1 Ludu, Andrei 1 Ma, Tian 1 Mahony, John Joseph 1 Mastrian, Barbara 1 Mawhin, Jean L. 1 Milgrom, Timur 1 Newell, Alan C. 1 Nirenberg, Louis 1 Nussbaum, Roger David 1 Panthee, Mahendra 1 Pastor, Ademir 1 Phan, Tuoc Van 1 Pilod, Didier ...and 25 more Co-Authors all top 5 Serials 15 Discrete and Continuous Dynamical Systems 9 Advances in Differential Equations 7 Nonlinearity 5 Journal of Differential Equations 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 Journal of Nonlinear Science 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Philosophical Transactions of the Royal Society of London. Ser. A 4 Physica D 4 Differential and Integral Equations 3 Mathematics and Computers in Simulation 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 3 SIAM Journal on Mathematical Analysis 3 Discrete and Continuous Dynamical Systems. Series B 3 Contemporary Mathematics 2 Archive for Rational Mechanics and Analysis 2 Communications in Mathematical Physics 2 Journal of Computational Physics 2 Journal of Mathematical Analysis and Applications 2 Indiana University Mathematics Journal 2 Journal of Economic Theory 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 The Canadian Applied Mathematics Quarterly 2 Matemática Contemporânea 2 Communications in Contemporary Mathematics 2 Discrete and Continuous Dynamical Systems. Series S 1 Applicable Analysis 1 Applied Scientific Research 1 Geophysical and Astrophysical Fluid Dynamics 1 IMA Journal of Applied Mathematics 1 Physics of Fluids 1 Mathematics of Computation 1 Applied Mathematics and Optimization 1 Duke Mathematical Journal 1 Journal of Computational and Applied Mathematics 1 Journal of Mathematical Economics 1 Nagoya Mathematical Journal 1 Studies in Applied Mathematics 1 Transactions of the American Mathematical Society 1 Chinese Annals of Mathematics. Series B 1 Bulletin of the Iranian Mathematical Society 1 Applied Numerical Mathematics 1 Journal of Scientific Computing 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Communications in Partial Differential Equations 1 SIAM Journal on Applied Mathematics 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Matemática Aplicada e Computacional 1 Notices of the American Mathematical Society 1 Computers and Mathematics with Applications. Part A 1 Philosophical Transactions of the Royal Society of London. Series A 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Journal of Mathematical Study 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Communications in Mathematical Sciences 1 Oberwolfach Reports 1 Dynamics of Partial Differential Equations 1 Proceedings of the Cambridge Philosophical Society 1 The IMA Volumes in Mathematics and its Applications 1 Springer Series in Synergetics 1 São Paulo Journal of Mathematical Sciences 1 Analysis and Mathematical Physics 1 Nonlinear Analysis. Theory, Methods & Applications 1 Pure and Applied Functional Analysis 1 Water Waves all top 5 Fields 140 Partial differential equations (35-XX) 106 Fluid mechanics (76-XX) 21 Numerical analysis (65-XX) 18 Dynamical systems and ergodic theory (37-XX) 10 General and overarching topics; collections (00-XX) 8 Geophysics (86-XX) 7 Integral equations (45-XX) 4 Functional analysis (46-XX) 4 Operator theory (47-XX) 3 History and biography (01-XX) 3 Ordinary differential equations (34-XX) 3 Mechanics of deformable solids (74-XX) 3 Optics, electromagnetic theory (78-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Functions of a complex variable (30-XX) 2 Potential theory (31-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Real functions (26-XX) 1 Approximations and expansions (41-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 142 Publications have been cited 5,128 times in 2,769 Documents Cited by ▼ Year ▼ Model equations for long waves in nonlinear dispersive systems. Zbl 0229.35013Benjamin, T. B.; Bona, J. L.; Mahony, J. J. 845 1972 The initial-value problem for the Korteweg-de Vries equation. Zbl 0306.35027Bona, J. L.; Smith, R. 360 1975 Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media. I: Derivation and linear theory. Zbl 1022.35044Bona, J. L.; Chen, M.; Saut, J.-C. 215 2002 Stability and instability of solitary waves of Korteweg-de Vries type. Zbl 0648.76005Bona, J. L.; Souganidis, P. E.; Strauss, W. A. 188 1987 Global existence of smooth solutions and stability of solitary waves for a generalized Boussinesq equation. Zbl 0654.35018Bona, Jerry L.; Sachs, Robert L. 145 1988 On the stability theory of solitary waves. Zbl 0328.76016Bona, J. 144 1975 Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media. II: The nonlinear theory. Zbl 1059.35103Bona, J. L.; Chen, M.; Saut, J.-C. 134 2004 A nonhomogeneous boundary-value problem for the Korteweg-de Vries equation posed on a finite domain. Zbl 1057.35049Bona, Jerry L.; Sun, Shu Ming; Zhang, Bing-Yu 127 2003 Nonlocal models for nonlinear, dispersive waves. Zbl 0699.35227Abdelouhab, L.; Bona, J. L.; Felland, M.; Saut, J.-C. 122 1989 Long wave approximations for water waves. Zbl 1108.76012Bona, Jerry L.; Colin, Thierry; Lannes, David 111 2005 An evaluation of a model equation for water waves. Zbl 0497.76023Bona, J. L.; Pritchard, W. G.; Scott, L. R. 108 1981 Decay of solutions of some nonlinear wave equations. Zbl 0689.35081Amick, C. J.; Bona, J. L.; Schonbek, M. E. 101 1989 A non-homogeneous boundary-value problem for the Korteweg-de Vries equation in a quarter plane. Zbl 0988.35141Bona, Jerry L.; Sun, S. M.; Zhang, Bing-Yu 84 2002 Travelling-wave solutions to the Korteweg-de Vries-Burgers equation. Zbl 0594.76015Bona, J. L.; Schonbek, M. E. 83 1985 Conservative, discontinuous Galerkin-methods for the generalized Korteweg-de Vries equation. Zbl 1276.65058Bona, J. L.; Chen, H.; Karakashian, O.; Xing, Y. 81 2013 Conservative, high-order numerical schemes for the generalized Korteweg- de Vries equation. Zbl 0824.65095Bona, J. L.; Dougalis, V. A.; Karakashian, O. A.; McKinney, W. R. 80 1995 Solutions of the Korteweg-de Vries equation in fractional order Sobolev spaces. Zbl 0335.35032Bona, Jerry; Scott, Ridgway 69 1976 Sharp well-posedness results for the BBM equation. Zbl 1170.35303Bona, Jerry; Tzvetkov, Nikolay 63 2009 Asymptotic models for internal waves. Zbl 1138.76028Bona, J. L.; Lannes, D.; Saut, J.-C. 63 2008 A Boussinesq system for two-way propagation of nonlinear dispersive waves. Zbl 0962.76515Bona, Jerry L.; Chen, Min 63 1998 A model for the two-way propagation of water waves in a channel. Zbl 0332.76007Bona, Jerry L.; Smith, Ronald 62 1976 The Korteweg-de Vries equation, posed in a quarter-plane. Zbl 0529.35069Bona, Jerry; Winther, Ragnar 60 1983 Sufficient conditions for stability of solitary-wave solutions of model equations for long waves. Zbl 0634.35079Albert, J. P.; Bona, J. L.; Henry, D. B. 58 1987 Stability of cnoidal waves. Zbl 1147.35079Angulo Pava, Jaime; Bona, Jerry L.; Scialom, Marcia 55 2006 Solitary-wave interaction. Zbl 0425.76019Bona, Jerry L.; Pritchard, W. G.; Scott, L. Ridgway 53 1980 Dispersive blowup of solutions of generalized Korteweg-de Vries equations. Zbl 0795.35101Bona, J. L.; Saut, J.-C. 50 1993 Algebraic lower bounds for the uniform radius of spatial analyticity for the generalized KdV equation. Zbl 1095.35039Bona, Jerry L.; Grujić, Zoran; Kalisch, Henrik 48 2005 A mathematical model for long waves generated by wavemakers in non-linear dispersive systems. Zbl 0261.76007Bona, J. L.; Bryant, P. J. 46 1973 Decay and analyticity of solitary waves. Zbl 0878.35098Bona, Jerry L.; Li, Yi A. 44 1997 Numerical schemes for a model for nonlinear dispersive waves. Zbl 0578.65120Bona, J. L.; Pritchard, W. G.; Scott, L. R. 43 1985 Total positivity and the stability of internal waves in stratified fluids of finite depth. Zbl 0723.76106Albert, J. P.; Bona, J. L. 40 1991 Nonhomogeneous boundary-value problems for one-dimensional nonlinear Schrödinger equations. Zbl 1379.35287Bona, Jerry L.; Sun, Shu-Ming; Zhang, Bing-Yu 39 2018 Non-homogeneous boundary value problems for the Korteweg-de Vries and the Korteweg-de Vries-Burgers equations in a quarter plane. Zbl 1157.35090Bona, Jerry L.; Sun, S. M.; Zhang, Bing-Yu 38 2008 An initial- and boundary-value problem for a model equation for propagation of long waves. Zbl 0444.35069Bona, Jerry L. 37 1980 Fully discrete Galerkin methods for the Korteweg-de Vries equation. Zbl 0597.65072Bona, Jerry L.; Dougalis, Vassilios A.; Karakashian, Ohannes A. 36 1986 Finite-amplitude steady waves in stratified fluids. Zbl 0491.35049Bona, J. L.; Bose, D. K.; Turner, R. E. L. 36 1983 Solitary-wave solutions of the Benjamin equation. Zbl 0945.76012Albert, John P.; Bona, Jerry L.; Restrepo, Juan Mario 35 1999 Model equations for waves in stratified fluids. Zbl 0886.35111Albert, J. P.; Bona, J. L.; Saut, J.-C. 35 1997 A non-homogeneous boundary-value problem for the Korteweg-de Vries equation posed on a finite domain. II. Zbl 1181.35228Bona, Jerry L.; Sun, Shu Ming; Zhang, Bing-Yu 35 2009 Models for internal waves in deep water. Zbl 1021.76006Kalisch, Henrik; Bona, Jerry L. 33 2000 A model system for strong interaction between internal solitary waves. Zbl 0752.35056Bona, Jerry L.; Ponce, Gustavo; Saut, Jean-Claude; Tom, Michael M. 32 1992 Stable and unstable solitary-wave solutions of the generalized regularized long-wave equation. Zbl 0972.35131Bona, J. L.; McKinney, W. R.; Restrepo, J. M. 32 2000 On the Korteweg-de Vries-Kuramoto-Sivashinsky equation. Zbl 0844.35103Biagioni, H. A.; Bona, J. L.; Iorio, R. J. jun.; Scialom, M. 32 1996 Boundary smoothing properties of the Korteweg-de Vries equation in a quarter plane and applications. Zbl 1152.35099Bona, Jerry L.; Sun, S. M.; Zhang, Bingyu 31 2006 Comparisons between the BBM equation and a Boussinesq system. Zbl 1104.35039Alazman, A. A.; Albert, J. P.; Bona, J. L.; Chen, M.; Wu, J. 30 2006 Forced oscillations of a damped Korteweg-de Vries equation in a quarter plane. Zbl 1054.35076Bona, Jerry L.; Sun, S. M.; Zhang, Bing-Yu 30 2003 Solitary-wave solutions of nonlinear problems. Zbl 0707.35131Benjamin, T. B.; Bona, J. L.; Bose, D. K. 29 1990 The stability of internal solitary waves. Zbl 0574.76028Bennett, D. P.; Brown, R. W.; Stansfield, S. E.; Stroughair, J. D.; Bona, J. L. 29 1983 Dispersive blow-up for nonlinear Schrödinger equations revisited. Zbl 1304.35132Bona, J. L.; Ponce, G.; Saut, J.-C.; Sparber, C. 28 2014 On the stability of solitary-wave solutions of model equations for long waves. Zbl 0809.35095Bona, J. L.; Soyeur, A. 27 1994 Global solutions of the derivative Schrödinger equation in a class of functions analytic in a strip. Zbl 1109.35103Bona, Jerry L.; Grujić, Zoran; Kalisch, Henrik 26 2006 Numerical solution of KdV-KdV systems of Boussinesq equations. I: The numerical scheme and generalized solitary waves. Zbl 1158.35410Bona, J. L.; Dougalis, V. A.; Mitsotakis, D. E. 24 2007 Nonlinear dispersive waves on trees. Zbl 1167.76054Bona, Jerry L.; Cascaval, Radu C. 23 2008 A comparison of solutions of two model equations for long waves. Zbl 0534.76024Bona, J. L.; Pritchard, W. G.; Scott, L. R. 21 1983 Existence and asymptotic properties of solitary-wave solutions of Benjamin-type equations. Zbl 0944.35082Chen, Hongqiu; Bona, Jerry L. 21 1998 The Korteweg-de Vries equation in a quarter plane, continuous dependence results. Zbl 0734.35120Bona, Jerry L.; Winther, Ragnar 20 1989 More results on the decay of solutions to nonlinear, dispersive wave equations. Zbl 0870.35088Bona, Jerry L.; Luo, Laihan 19 1995 Decay of solutions to nonlinear, dispersive wave equations. Zbl 0780.35098Bona, Jerry L.; Luo, Laihan 18 1993 Spatial analyticity properties of nonlinear waves. Zbl 1137.35418Bona, Jerry L.; Grujić, Zoran 18 2003 Numerical solution of Boussinesq systems of KdV-KdV type. II: Evolution of radiating solitary waves. Zbl 1158.35411Bona, J. L.; Dougalis, V. A.; Mitsotakis, D. E. 17 2008 Initial-boundary-value problems for linear and integrable nonlinear dispersive partial differential equations. Zbl 1230.30026Bona, J. L.; Fokas, A. S. 17 2008 A mathematical theory for viscous, free-surface flows over a perturbed plane. Zbl 0765.76024Abergel, F.; Bona, J. L. 16 1992 Analyticity of solitary-wave solutions of model equations for long waves. Zbl 0851.35117Li, Yi A.; Bona, Jerry L. 16 1996 The zero-viscosity limit of the 2D Navier-Stokes equations. Zbl 1141.35431Bona, Jerry L.; Wu, Jiahong 16 2002 Stability and decay properties of solitary-wave solutions to the generalized BO-ZK equation. Zbl 1325.35162Esfahani, Amin; Pastor, Ademir; Bona, Jerry L. 16 2015 Comparisons between model equations for long waves. Zbl 0791.35123Albert, J. P.; Bona, J. L. 15 1991 Well-posedness of a model for water waves with viscosity. Zbl 1238.35093Ambrose, David M.; Bona, Jerry L.; Nicholls, David P. 15 2012 Conditional and unconditional well-posedness for nonlinear evolution equations. Zbl 1103.35092Bona, Jerry L.; Sun, Shu-Ming; Zhang, Bing-Yu 14 2004 Well-posedness for regularized nonlinear dispersive wave equations. Zbl 1158.35412Bona, Jerry; Chen, Hongqiu 13 2009 Computations of blow-up and decay for periodic solutions of the generalized Korteweg-de Vries-Burgers equation. Zbl 0757.65123Bona, Jerry L.; Dougalis, Vassilios A.; Karakashian, Ohannes A.; McKinney, William R. 13 1992 Singularity formation in the generalized Benjamin-Ono equation. Zbl 1063.35134Bona, J. L.; Kalisch, H. 13 2004 Scaling, stability and singularities for nonlinear, dispersive wave equations: The critical case. Zbl 1034.35116Angulo, J.; Bona, J. L.; Linares, F.; Scialom, M. 13 2002 Higher-order asymptotics of decaying solutions of some nonlinear, dispersive, dissipative wave equations. Zbl 0837.35130Bona, J. L.; Promislow, K. S.; Wayne, C. E. 13 1995 The existence of internal solitary waves in a two-fluid system near the KdV limit. Zbl 0708.76136Bona, Jerry L.; Sachs, Robert L. 13 1989 On solitary waves and their role in the evolution of long waves. Zbl 0498.76023Bona, Jerry L. 12 1981 The effect of dissipation on solutions of the generalized Korteweg-de Vries equation. Zbl 0869.65059Bona, J. L.; Dougalis, V. A.; Karakashian, O. A.; McKinney, W. R. 12 1996 Higher-order Hamiltonian model for unidirectional water waves. Zbl 1384.35111Bona, J. L.; Carvajal, X.; Panthee, M.; Scialom, M. 12 2018 A KdV-type Boussinesq system: From the energy level to analytic spaces. Zbl 1183.35226Bona, Jerry L.; Grujić, Zoran; Kalisch, Henrik 11 2010 Solitary waves in nonlinear dispersive systems. Zbl 1162.35438Bona, Jerry; Chen, Hongqiu 11 2002 Convergence of periodic wavetrains in the limit of large wavelength. Zbl 0469.76018Bona, Jerry L. 11 1981 Stability of solitary-wave solutions of systems of dispersive equations. Zbl 1362.35253Bona, Jerry L.; Chen, Hongqiu; Karakashian, Ohannes 11 2017 Models for propagation of bores. I: Two dimensional theory. Zbl 0808.35122Bona, J. L.; Rajopadhye, S. V.; Schonbek, M. E. 10 1994 Comparison of quarter-plane and two-point boundary value problems: the BBM-equation. Zbl 1088.35057Bona, Jerry L.; Chen, Hongqiu; Sun, Shu Ming; Zhang, B.-Y. 10 2005 Fourier splitting and dissipation of nonlinear dispersive waves. Zbl 0947.35130Bona, J. L.; Demengel, F.; Promislow, K. 10 1999 The initial-value problem for the forced Korteweg-de Vries equation. Zbl 0865.35114Bona, Jerry L.; Zhang, Bing-Yu 10 1996 Global well-posedness for a system of KdV-type equations with coupled quadratic nonlinearities. Zbl 1372.35271Bona, Jerry L.; Cohen, Jonathan; Wang, Gang 10 2014 A generalized Korteweg-de Vries equation in a quarter plane. Zbl 0922.35150Bona, Jerry L.; Luo, Laihan 9 1999 Similarity solutions of the generalized Korteweg-de Vries equation. Zbl 0939.35164Bona, J. L.; Weissler, F. B. 9 1999 On ill-posedness of truncated series models for water waves. Zbl 1371.35210Ambrose, David M.; Bona, Jerry L.; Nicholls, David P. 9 2014 The Cauchy problem and stability of solitary-wave solutions for RLW–KP-type equations. Zbl 1023.35085Bona, Jerry L.; Liu, Yue; Tom, Michael M. 8 2002 Dispersive blow-up. II: Schrödinger-type equations, optical and oceanic rogue waves. Zbl 1204.35132Bona, Jerry L.; Saut, Jean-Claude 8 2010 Periodic traveling-wave solutions of nonlinear dispersive evolution equations. Zbl 1277.35096Chen, Hongqiu; Bona, Jerry L. 8 2013 Norm-inflation results for the BBM equation. Zbl 1350.35068Bona, Jerry; Dai, Mimi 8 2017 Global solutions and ill-posedness for the Kaup system and related Boussinesq systems. Zbl 1439.35389Ambrose, David; Bona, Jerry; Milgrom, Timur 8 2019 On the asymptotic behavior of solutions to nonlinear, dispersive, dissipative wave equations. Zbl 0823.35018Bona, Jerry; Promislow, Keith; Wayne, Gene 7 1994 On the stability of KdV multi-solitons. Zbl 1212.35380Albert, John P.; Bona, Jerry L.; Nguyen, Nghiem V. 7 2007 Pole dynamics of interacting solitons and blowup of complex-valued solutions of KdV. Zbl 1154.35439Bona, Jerry L.; Weissler, Fred B. 7 2009 Asymptotic decomposition of nonlinear, dispersive wave equations with dissipation. Zbl 0982.35018Bona, Jerry L.; Luo, Laihan 7 2001 Comparison of model equations for small-amplitude long waves. Zbl 0948.35108Bona, Jerry L.; Chen, Hongqiu 7 1999 A criterion for the formation of singularities for the generalized Korteweg-de Vries equation. Zbl 0694.35178Albert, J. P.; Bona, J. L.; Felland, M. 7 1988 Solitary-wave solutions of Benjamin-Ono and other systems for internal waves. I: Approximations. Zbl 1460.76146Bona, Jerry L.; Durán, Angel; Mitsotakis, Dimitrios 2 2021 The KdV equation on the half-line: time-periodicity and mass transport. Zbl 1439.35424Bona, Jerry L.; Lenells, Jonatan 1 2020 Global solutions and ill-posedness for the Kaup system and related Boussinesq systems. Zbl 1439.35389Ambrose, David; Bona, Jerry; Milgrom, Timur 8 2019 Propagation of long-crested water waves. II. Bore propagation. Zbl 1447.76009Bona, Jerry L.; Colin, Thierry; Guillopé, Colette 2 2019 Further theory for a higher-order water wave model. Zbl 1479.35649Bona, Jerry L.; Chen, Hongqiu; Guillopé, Colette 1 2019 Nonlinear dispersive waves and fluids. AMS special sessions on spectral calculus and quasilinear partial differential equations, and PDE analysis on fluid flows, Atlanta, GA, USA, January 5–7, 2017. Zbl 1414.35005 1 2019 Nonhomogeneous boundary-value problems for one-dimensional nonlinear Schrödinger equations. Zbl 1379.35287Bona, Jerry L.; Sun, Shu-Ming; Zhang, Bing-Yu 39 2018 Higher-order Hamiltonian model for unidirectional water waves. Zbl 1384.35111Bona, J. L.; Carvajal, X.; Panthee, M.; Scialom, M. 12 2018 Finite element methods for a system of dispersive equations. Zbl 1406.65083Bona, Jerry L.; Chen, Hongqiu; Karakashian, Ohannes; Wise, Michael M. 4 2018 Felix Browder (1927–2016). Zbl 1406.35004Brezis, Haïim; Nussbaum, Roger D.; Cohen, Amy; Beals, Richard; Mawhin, Jean; Teman, Roger; Nirenberg, Louis; Berestycki, Henri; Mastrian, Barbara; Chanillo, Sagun; Lebowitz, Joel; Roberts, Fred; Bona, Jerry 1 2018 Stability of solitary-wave solutions of systems of dispersive equations. Zbl 1362.35253Bona, Jerry L.; Chen, Hongqiu; Karakashian, Ohannes 11 2017 Norm-inflation results for the BBM equation. Zbl 1350.35068Bona, Jerry; Dai, Mimi 8 2017 Singular solutions of a Boussinesq system for water waves. Zbl 1374.35339Bona, Jerry L.; Chen, Min 6 2016 Global well-posedness and singularity propagation for the BBM-BBM system on a quarter plane. Zbl 1382.35207Bona, Jerry L.; Chen, Hongqiu; Hsia, Chun-Hsiung 1 2016 Stability and decay properties of solitary-wave solutions to the generalized BO-ZK equation. Zbl 1325.35162Esfahani, Amin; Pastor, Ademir; Bona, Jerry L. 16 2015 Dispersive blow-up for nonlinear Schrödinger equations revisited. Zbl 1304.35132Bona, J. L.; Ponce, G.; Saut, J.-C.; Sparber, C. 28 2014 Global well-posedness for a system of KdV-type equations with coupled quadratic nonlinearities. Zbl 1372.35271Bona, Jerry L.; Cohen, Jonathan; Wang, Gang 10 2014 On ill-posedness of truncated series models for water waves. Zbl 1371.35210Ambrose, David M.; Bona, Jerry L.; Nicholls, David P. 9 2014 Well-posedness for the \(BBM\)-equation in a quarter plane. Zbl 1302.35309Bona, Jerry L.; Chen, Hongqiu; Hsia, Chun-Hsiung 1 2014 Conservative, discontinuous Galerkin-methods for the generalized Korteweg-de Vries equation. Zbl 1276.65058Bona, J. L.; Chen, H.; Karakashian, O.; Xing, Y. 81 2013 Periodic traveling-wave solutions of nonlinear dispersive evolution equations. Zbl 1277.35096Chen, Hongqiu; Bona, Jerry L. 8 2013 Propagation of long-crested water waves. Zbl 1302.35310Bona, Jerry L.; Colin, Thierry; Guillopé, Colette 5 2013 Singularity formation and blowup of complex-valued solutions of the modified KdV equation. Zbl 1290.35221Bona, Jerry L.; Vento, Stéphane; Weissler, Fred B. 2 2013 Well-posedness of a model for water waves with viscosity. Zbl 1238.35093Ambrose, David M.; Bona, Jerry L.; Nicholls, David P. 15 2012 Hopf bifurcation for two-dimensional doubly diffusive convection. Zbl 1243.35016Bona, Jerry L.; Hsia, Chun-Hsiung; Ma, Tian; Wang, Shouhong 4 2011 Large-time asymptotics of the generalized Benjamin-Ono-Burgers equation. Zbl 1218.35035Bona, Jerry L.; Luo, Laihan 4 2011 A KdV-type Boussinesq system: From the energy level to analytic spaces. Zbl 1183.35226Bona, Jerry L.; Grujić, Zoran; Kalisch, Henrik 11 2010 Dispersive blow-up. II: Schrödinger-type equations, optical and oceanic rogue waves. Zbl 1204.35132Bona, Jerry L.; Saut, Jean-Claude 8 2010 Approximating initial-value problems with two-point boundary-value problems: BBM-equation. Zbl 1218.35203Bona, J. L.; Chen, H.; Sun, S.-M.; Zhang, B.-Y. 3 2010 Sharp well-posedness results for the BBM equation. Zbl 1170.35303Bona, Jerry; Tzvetkov, Nikolay 63 2009 A non-homogeneous boundary-value problem for the Korteweg-de Vries equation posed on a finite domain. II. Zbl 1181.35228Bona, Jerry L.; Sun, Shu Ming; Zhang, Bing-Yu 35 2009 Well-posedness for regularized nonlinear dispersive wave equations. Zbl 1158.35412Bona, Jerry; Chen, Hongqiu 13 2009 Pole dynamics of interacting solitons and blowup of complex-valued solutions of KdV. Zbl 1154.35439Bona, Jerry L.; Weissler, Fred B. 7 2009 Temporal growth and eventual periodicity for dispersive wave equations in a quarter plane. Zbl 1155.35428Bona, Jerry; Wu, Jiahong 6 2009 Asymptotic models for internal waves. Zbl 1138.76028Bona, J. L.; Lannes, D.; Saut, J.-C. 63 2008 Non-homogeneous boundary value problems for the Korteweg-de Vries and the Korteweg-de Vries-Burgers equations in a quarter plane. Zbl 1157.35090Bona, Jerry L.; Sun, S. M.; Zhang, Bing-Yu 38 2008 Nonlinear dispersive waves on trees. Zbl 1167.76054Bona, Jerry L.; Cascaval, Radu C. 23 2008 Numerical solution of Boussinesq systems of KdV-KdV type. II: Evolution of radiating solitary waves. Zbl 1158.35411Bona, J. L.; Dougalis, V. A.; Mitsotakis, D. E. 17 2008 Initial-boundary-value problems for linear and integrable nonlinear dispersive partial differential equations. Zbl 1230.30026Bona, J. L.; Fokas, A. S. 17 2008 Numerical solution of KdV-KdV systems of Boussinesq equations. I: The numerical scheme and generalized solitary waves. Zbl 1158.35410Bona, J. L.; Dougalis, V. A.; Mitsotakis, D. E. 24 2007 On the stability of KdV multi-solitons. Zbl 1212.35380Albert, John P.; Bona, Jerry L.; Nguyen, Nghiem V. 7 2007 Comparison of quarter-plane and two-point boundary value problems: the KdV-equation. Zbl 1123.35052Bona, Jerry L.; Chen, Hongqiu; Sun, Shu-Ming; Zhang, Bing-Yu 7 2007 Stability of cnoidal waves. Zbl 1147.35079Angulo Pava, Jaime; Bona, Jerry L.; Scialom, Marcia 55 2006 Boundary smoothing properties of the Korteweg-de Vries equation in a quarter plane and applications. Zbl 1152.35099Bona, Jerry L.; Sun, S. M.; Zhang, Bingyu 31 2006 Comparisons between the BBM equation and a Boussinesq system. Zbl 1104.35039Alazman, A. A.; Albert, J. P.; Bona, J. L.; Chen, M.; Wu, J. 30 2006 Global solutions of the derivative Schrödinger equation in a class of functions analytic in a strip. Zbl 1109.35103Bona, Jerry L.; Grujić, Zoran; Kalisch, Henrik 26 2006 Long wave approximations for water waves. Zbl 1108.76012Bona, Jerry L.; Colin, Thierry; Lannes, David 111 2005 Algebraic lower bounds for the uniform radius of spatial analyticity for the generalized KdV equation. Zbl 1095.35039Bona, Jerry L.; Grujić, Zoran; Kalisch, Henrik 48 2005 Comparison of quarter-plane and two-point boundary value problems: the BBM-equation. Zbl 1088.35057Bona, Jerry L.; Chen, Hongqiu; Sun, Shu Ming; Zhang, B.-Y. 10 2005 Wave generation by a moving boundary. Zbl 1084.35069Bona, Jerry L.; Varlamov, Vladimir V. 3 2005 Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media. II: The nonlinear theory. Zbl 1059.35103Bona, J. L.; Chen, M.; Saut, J.-C. 134 2004 Conditional and unconditional well-posedness for nonlinear evolution equations. Zbl 1103.35092Bona, Jerry L.; Sun, Shu-Ming; Zhang, Bing-Yu 14 2004 Singularity formation in the generalized Benjamin-Ono equation. Zbl 1063.35134Bona, J. L.; Kalisch, H. 13 2004 Stability of solitary waves in higher-order Sobolev spaces. Zbl 1089.35057Bona, Jerry L.; Liu, Yue; Nguyen, Nghiem V. 5 2004 A nonhomogeneous boundary-value problem for the Korteweg-de Vries equation posed on a finite domain. Zbl 1057.35049Bona, Jerry L.; Sun, Shu Ming; Zhang, Bing-Yu 127 2003 Forced oscillations of a damped Korteweg-de Vries equation in a quarter plane. Zbl 1054.35076Bona, Jerry L.; Sun, S. M.; Zhang, Bing-Yu 30 2003 Spatial analyticity properties of nonlinear waves. Zbl 1137.35418Bona, Jerry L.; Grujić, Zoran 18 2003 Long wave approximations for water waves. Zbl 1050.76006Bona, Jerry; Colin, Thierry; Lannes, David 3 2003 Local and global well-posedness results for generalized BBM-type equations. Zbl 1045.35052Bona, Jerry L.; Chen, Hongqiu 1 2003 Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media. I: Derivation and linear theory. Zbl 1022.35044Bona, J. L.; Chen, M.; Saut, J.-C. 215 2002 A non-homogeneous boundary-value problem for the Korteweg-de Vries equation in a quarter plane. Zbl 0988.35141Bona, Jerry L.; Sun, S. M.; Zhang, Bing-Yu 84 2002 The zero-viscosity limit of the 2D Navier-Stokes equations. Zbl 1141.35431Bona, Jerry L.; Wu, Jiahong 16 2002 Scaling, stability and singularities for nonlinear, dispersive wave equations: The critical case. Zbl 1034.35116Angulo, J.; Bona, J. L.; Linares, F.; Scialom, M. 13 2002 Solitary waves in nonlinear dispersive systems. Zbl 1162.35438Bona, Jerry; Chen, Hongqiu 11 2002 The Cauchy problem and stability of solitary-wave solutions for RLW–KP-type equations. Zbl 1023.35085Bona, Jerry L.; Liu, Yue; Tom, Michael M. 8 2002 Instability of solitary-wave solutions of the 3-dimensional Kadomtsev-Petviashvili equation. Zbl 1223.35271Bona, Jerry L.; Liu, Yue 3 2002 Asymptotic decomposition of nonlinear, dispersive wave equations with dissipation. Zbl 0982.35018Bona, Jerry L.; Luo, Laihan 7 2001 Blow-up of spatially periodic complex-valued solutions of nonlinear dispersive equations. Zbl 1330.35036Bona, J. L.; Weissler, F. B. 3 2001 Stabilizing monetary-injection policies. Zbl 1028.91544Bona, Jerry L.; Li, Jenny X. 2 2001 Models for internal waves in deep water. Zbl 1021.76006Kalisch, Henrik; Bona, Jerry L. 33 2000 Stable and unstable solitary-wave solutions of the generalized regularized long-wave equation. Zbl 0972.35131Bona, J. L.; McKinney, W. R.; Restrepo, J. M. 32 2000 Zero-dissipation limit for nonlinear waves. Zbl 0953.76006Bona, Jerry L.; Wu, Jiahong 2 2000 Nonlinear PDE’s, dynamics and continuum physics. 1998 AMS-IMS-SIAM joint summer research conference, Mount Holyoke College, MA, USA, July 10–23, 1998. Zbl 0941.00019 1 2000 Solitary-wave solutions of the Benjamin equation. Zbl 0945.76012Albert, John P.; Bona, Jerry L.; Restrepo, Juan Mario 35 1999 Fourier splitting and dissipation of nonlinear dispersive waves. Zbl 0947.35130Bona, J. L.; Demengel, F.; Promislow, K. 10 1999 A generalized Korteweg-de Vries equation in a quarter plane. Zbl 0922.35150Bona, Jerry L.; Luo, Laihan 9 1999 Similarity solutions of the generalized Korteweg-de Vries equation. Zbl 0939.35164Bona, J. L.; Weissler, F. B. 9 1999 Comparison of model equations for small-amplitude long waves. Zbl 0948.35108Bona, Jerry L.; Chen, Hongqiu 7 1999 On the structure of singularities in solutions of the nonlinear Schrödinger equation for the critical case, \(p=4/n\). Zbl 0937.35165Angulo, Jaime; Bona, Jerry L.; Linares, Felipe; Scialom, Marcia 1 1999 A Boussinesq system for two-way propagation of nonlinear dispersive waves. Zbl 0962.76515Bona, Jerry L.; Chen, Min 63 1998 Existence and asymptotic properties of solitary-wave solutions of Benjamin-type equations. Zbl 0944.35082Chen, Hongqiu; Bona, Jerry L. 21 1998 Decay and analyticity of solitary waves. Zbl 0878.35098Bona, Jerry L.; Li, Yi A. 44 1997 Model equations for waves in stratified fluids. Zbl 0886.35111Albert, J. P.; Bona, J. L.; Saut, J.-C. 35 1997 On the role of computation in economic theory. Zbl 0883.90056Bona, Jerry L.; Santos, Manuel S. 3 1997 Higher-order Boussinesq systems for two-way propagations of water waves. Zbl 0972.35130Chen, Min; Bona, Jerry L. 1 1997 On the Korteweg-de Vries-Kuramoto-Sivashinsky equation. Zbl 0844.35103Biagioni, H. A.; Bona, J. L.; Iorio, R. J. jun.; Scialom, M. 32 1996 Analyticity of solitary-wave solutions of model equations for long waves. Zbl 0851.35117Li, Yi A.; Bona, Jerry L. 16 1996 The effect of dissipation on solutions of the generalized Korteweg-de Vries equation. Zbl 0869.65059Bona, J. L.; Dougalis, V. A.; Karakashian, O. A.; McKinney, W. R. 12 1996 The initial-value problem for the forced Korteweg-de Vries equation. Zbl 0865.35114Bona, Jerry L.; Zhang, Bing-Yu 10 1996 Numerical simulation of singular solutions of the generalized Korteweg-de Vries equation. Zbl 0860.35112Bona, J. L.; Dougalis, V. A.; Karakashian, O. A.; McKinney, W. R. 2 1996 Conservative, high-order numerical schemes for the generalized Korteweg- de Vries equation. Zbl 0824.65095Bona, J. L.; Dougalis, V. A.; Karakashian, O. A.; McKinney, W. R. 80 1995 More results on the decay of solutions to nonlinear, dispersive wave equations. Zbl 0870.35088Bona, Jerry L.; Luo, Laihan 19 1995 Higher-order asymptotics of decaying solutions of some nonlinear, dispersive, dissipative wave equations. Zbl 0837.35130Bona, J. L.; Promislow, K. S.; Wayne, C. E. 13 1995 The effect of change in the nonlinearity and the dispersion relation of model equations for long waves. Zbl 0832.35123Bona, J. L.; Scialom, M. 5 1995 Three-dimensional model for the formation of longshore sand structures on the continental shelf. Zbl 0833.76009Restrepo, Juan Mario; Bona, Jerry L. 1 1995 Discretization of a model for the formation of longshore sand ridges. Zbl 0879.76062Restrepo, Juan Mario; Bona, Jerry L. 1 1995 On the comparison of solutions of model equations for long waves. Zbl 0854.35099Bona, J. L.; Scialom, M. 1 1995 On the stability of solitary-wave solutions of model equations for long waves. Zbl 0809.35095Bona, J. L.; Soyeur, A. 27 1994 Models for propagation of bores. I: Two dimensional theory. Zbl 0808.35122Bona, J. L.; Rajopadhye, S. V.; Schonbek, M. E. 10 1994 On the asymptotic behavior of solutions to nonlinear, dispersive, dissipative wave equations. Zbl 0823.35018Bona, Jerry; Promislow, Keith; Wayne, Gene 7 1994 ...and 42 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,746 Authors 49 Bona, Jerry Lloyd 37 Zhang, Bingyu 32 Saut, Jean-Claude 30 Liu, Yue 29 Guo, Boling 29 Himonas, A. Alexandrou 28 Kalisch, Henrik 26 Esfahani, Amin 26 Mitsotakis, Dimitrios E. 25 Ponce, Gustavo 24 Dutykh, Denys 24 Pazoto, Ademir Fernando 23 Lar’kin, Nikolaj Andreevich 23 Linares, Felipe 22 Dougalis, Vassilios A. 20 Hayashi, Nakao 20 Yin, Zhaoyang 19 Kaikina, Elena Igorevna 19 Muñoz, Claudio 19 Naumkin, Pavel Ivanovich 19 Pastor, Ademir 18 Angulo Pava, Jaime 18 Zhang, Weiguo 17 Natali, Fábio M. 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