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: 122 Co-Authors with 155 Joint Publications 3,128 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 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 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 1 Rajopadhye, Shubha V. 1 Roberts, Fred S. ...and 23 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 5,371 times in 2,901 Documents Cited by ▼ Year ▼ Model equations for long waves in nonlinear dispersive systems. Zbl 0229.35013 Benjamin, T. B.; Bona, J. L.; Mahony, J. J. 896 1972 The initial-value problem for the Korteweg-de Vries equation. Zbl 0306.35027 Bona, J. L.; Smith, R. 377 1975 Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media. I: Derivation and linear theory. Zbl 1022.35044 Bona, J. L.; Chen, M.; Saut, J.-C. 227 2002 Stability and instability of solitary waves of Korteweg-de Vries type. Zbl 0648.76005 Bona, J. L.; Souganidis, P. E.; Strauss, W. A. 194 1987 On the stability theory of solitary waves. Zbl 0328.76016 Bona, J. 151 1975 Global existence of smooth solutions and stability of solitary waves for a generalized Boussinesq equation. Zbl 0654.35018 Bona, Jerry L.; Sachs, Robert L. 150 1988 Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media. II: The nonlinear theory. Zbl 1059.35103 Bona, J. L.; Chen, M.; Saut, J.-C. 143 2004 A nonhomogeneous boundary-value problem for the Korteweg-de Vries equation posed on a finite domain. Zbl 1057.35049 Bona, Jerry L.; Sun, Shu Ming; Zhang, Bing-Yu 130 2003 Nonlocal models for nonlinear, dispersive waves. Zbl 0699.35227 Abdelouhab, L.; Bona, J. L.; Felland, M.; Saut, J.-C. 129 1989 Long wave approximations for water waves. Zbl 1108.76012 Bona, Jerry L.; Colin, Thierry; Lannes, David 116 2005 An evaluation of a model equation for water waves. Zbl 0497.76023 Bona, J. L.; Pritchard, W. G.; Scott, L. R. 113 1981 Decay of solutions of some nonlinear wave equations. Zbl 0689.35081 Amick, C. J.; Bona, J. L.; Schonbek, M. E. 105 1989 A non-homogeneous boundary-value problem for the Korteweg-de Vries equation in a quarter plane. Zbl 0988.35141 Bona, Jerry L.; Sun, S. M.; Zhang, Bing-Yu 88 2002 Travelling-wave solutions to the Korteweg-de Vries-Burgers equation. Zbl 0594.76015 Bona, J. L.; Schonbek, M. E. 86 1985 Conservative, discontinuous Galerkin-methods for the generalized Korteweg-de Vries equation. Zbl 1276.65058 Bona, J. L.; Chen, H.; Karakashian, O.; Xing, Y. 85 2013 Conservative, high-order numerical schemes for the generalized Korteweg- de Vries equation. Zbl 0824.65095 Bona, J. L.; Dougalis, V. A.; Karakashian, O. A.; McKinney, W. R. 81 1995 Solutions of the Korteweg-de Vries equation in fractional order Sobolev spaces. Zbl 0335.35032 Bona, Jerry; Scott, Ridgway 71 1976 Asymptotic models for internal waves. Zbl 1138.76028 Bona, J. L.; Lannes, D.; Saut, J.-C. 69 2008 Sharp well-posedness results for the BBM equation. Zbl 1170.35303 Bona, Jerry; Tzvetkov, Nikolay 66 2009 A Boussinesq system for two-way propagation of nonlinear dispersive waves. Zbl 0962.76515 Bona, Jerry L.; Chen, Min 63 1998 A model for the two-way propagation of water waves in a channel. Zbl 0332.76007 Bona, Jerry L.; Smith, Ronald 63 1976 The Korteweg-de Vries equation, posed in a quarter-plane. Zbl 0529.35069 Bona, Jerry; Winther, Ragnar 61 1983 Sufficient conditions for stability of solitary-wave solutions of model equations for long waves. Zbl 0634.35079 Albert, J. P.; Bona, J. L.; Henry, D. B. 59 1987 Stability of cnoidal waves. Zbl 1147.35079 Angulo Pava, Jaime; Bona, Jerry L.; Scialom, Marcia 58 2006 Solitary-wave interaction. Zbl 0425.76019 Bona, Jerry L.; Pritchard, W. G.; Scott, L. Ridgway 53 1980 Dispersive blowup of solutions of generalized Korteweg-de Vries equations. Zbl 0795.35101 Bona, J. L.; Saut, J.-C. 52 1993 Algebraic lower bounds for the uniform radius of spatial analyticity for the generalized KdV equation. Zbl 1095.35039 Bona, Jerry L.; Grujić, Zoran; Kalisch, Henrik 51 2005 A mathematical model for long waves generated by wavemakers in non-linear dispersive systems. Zbl 0261.76007 Bona, J. L.; Bryant, P. J. 50 1973 Decay and analyticity of solitary waves. Zbl 0878.35098 Bona, Jerry L.; Li, Yi A. 44 1997 Numerical schemes for a model for nonlinear dispersive waves. Zbl 0578.65120 Bona, J. L.; Pritchard, W. G.; Scott, L. R. 43 1985 Nonhomogeneous boundary-value problems for one-dimensional nonlinear Schrödinger equations. Zbl 1379.35287 Bona, Jerry L.; Sun, Shu-Ming; Zhang, Bing-Yu 42 2018 Total positivity and the stability of internal waves in stratified fluids of finite depth. Zbl 0723.76106 Albert, J. P.; Bona, J. L. 41 1991 An initial- and boundary-value problem for a model equation for propagation of long waves. Zbl 0444.35069 Bona, Jerry L. 39 1980 Non-homogeneous boundary value problems for the Korteweg-de Vries and the Korteweg-de Vries-Burgers equations in a quarter plane. Zbl 1157.35090 Bona, Jerry L.; Sun, S. M.; Zhang, Bing-Yu 39 2008 Fully discrete Galerkin methods for the Korteweg-de Vries equation. Zbl 0597.65072 Bona, Jerry L.; Dougalis, Vassilios A.; Karakashian, Ohannes A. 37 1986 Model equations for waves in stratified fluids. Zbl 0886.35111 Albert, J. P.; Bona, J. L.; Saut, J.-C. 37 1997 Finite-amplitude steady waves in stratified fluids. Zbl 0491.35049 Bona, J. L.; Bose, D. K.; Turner, R. E. L. 36 1983 Solitary-wave solutions of the Benjamin equation. Zbl 0945.76012 Albert, John P.; Bona, Jerry L.; Restrepo, Juan Mario 36 1999 A non-homogeneous boundary-value problem for the Korteweg-de Vries equation posed on a finite domain. II. Zbl 1181.35228 Bona, Jerry L.; Sun, Shu Ming; Zhang, Bing-Yu 35 2009 Models for internal waves in deep water. Zbl 1021.76006 Kalisch, Henrik; Bona, Jerry L. 34 2000 On the Korteweg-de Vries-Kuramoto-Sivashinsky equation. Zbl 0844.35103 Biagioni, H. A.; Bona, J. L.; Iorio, R. J. jun.; Scialom, M. 34 1996 Stable and unstable solitary-wave solutions of the generalized regularized long-wave equation. Zbl 0972.35131 Bona, J. L.; McKinney, W. R.; Restrepo, J. M. 33 2000 A model system for strong interaction between internal solitary waves. Zbl 0752.35056 Bona, Jerry L.; Ponce, Gustavo; Saut, Jean-Claude; Tom, Michael M. 33 1992 Boundary smoothing properties of the Korteweg-de Vries equation in a quarter plane and applications. Zbl 1152.35099 Bona, Jerry L.; Sun, S. M.; Zhang, Bingyu 32 2006 Comparisons between the BBM equation and a Boussinesq system. Zbl 1104.35039 Alazman, A. A.; Albert, J. P.; Bona, J. L.; Chen, M.; Wu, J. 31 2006 Dispersive blow-up for nonlinear Schrödinger equations revisited. Zbl 1304.35132 Bona, J. L.; Ponce, G.; Saut, J.-C.; Sparber, C. 31 2014 Forced oscillations of a damped Korteweg-de Vries equation in a quarter plane. Zbl 1054.35076 Bona, Jerry L.; Sun, S. M.; Zhang, Bing-Yu 30 2003 Solitary-wave solutions of nonlinear problems. Zbl 0707.35131 Benjamin, T. B.; Bona, J. L.; Bose, D. K. 30 1990 The stability of internal solitary waves. Zbl 0574.76028 Bennett, D. P.; Brown, R. W.; Stansfield, S. E.; Stroughair, J. D.; Bona, J. L. 29 1983 Global solutions of the derivative Schrödinger equation in a class of functions analytic in a strip. Zbl 1109.35103 Bona, Jerry L.; Grujić, Zoran; Kalisch, Henrik 28 2006 On the stability of solitary-wave solutions of model equations for long waves. Zbl 0809.35095 Bona, J. L.; Soyeur, A. 27 1994 Numerical solution of KdV-KdV systems of Boussinesq equations. I: The numerical scheme and generalized solitary waves. Zbl 1158.35410 Bona, J. L.; Dougalis, V. A.; Mitsotakis, D. E. 25 2007 Nonlinear dispersive waves on trees. Zbl 1167.76054 Bona, Jerry L.; Cascaval, Radu C. 24 2008 A comparison of solutions of two model equations for long waves. Zbl 0534.76024 Bona, J. L.; Pritchard, W. G.; Scott, L. R. 21 1983 Existence and asymptotic properties of solitary-wave solutions of Benjamin-type equations. Zbl 0944.35082 Chen, Hongqiu; Bona, Jerry L. 21 1998 The Korteweg-de Vries equation in a quarter plane, continuous dependence results. Zbl 0734.35120 Bona, Jerry L.; Winther, Ragnar 21 1989 Spatial analyticity properties of nonlinear waves. Zbl 1137.35418 Bona, Jerry L.; Grujić, Zoran 20 2003 More results on the decay of solutions to nonlinear, dispersive wave equations. Zbl 0870.35088 Bona, Jerry L.; Luo, Laihan 19 1995 Decay of solutions to nonlinear, dispersive wave equations. Zbl 0780.35098 Bona, Jerry L.; Luo, Laihan 19 1993 Higher-order Hamiltonian model for unidirectional water waves. Zbl 1384.35111 Bona, J. L.; Carvajal, X.; Panthee, M.; Scialom, M. 18 2018 Initial-boundary-value problems for linear and integrable nonlinear dispersive partial differential equations. Zbl 1230.30026 Bona, J. L.; Fokas, A. S. 18 2008 Stability and decay properties of solitary-wave solutions to the generalized BO-ZK equation. Zbl 1325.35162 Esfahani, Amin; Pastor, Ademir; Bona, Jerry L. 18 2015 Numerical solution of Boussinesq systems of KdV-KdV type. II: Evolution of radiating solitary waves. Zbl 1158.35411 Bona, J. L.; Dougalis, V. A.; Mitsotakis, D. E. 17 2008 Analyticity of solitary-wave solutions of model equations for long waves. Zbl 0851.35117 Li, Yi A.; Bona, Jerry L. 16 1996 Singularity formation in the generalized Benjamin-Ono equation. Zbl 1063.35134 Bona, J. L.; Kalisch, H. 16 2004 A mathematical theory for viscous, free-surface flows over a perturbed plane. Zbl 0765.76024 Abergel, F.; Bona, J. L. 16 1992 Comparisons between model equations for long waves. Zbl 0791.35123 Albert, J. P.; Bona, J. L. 16 1991 The zero-viscosity limit of the 2D Navier-Stokes equations. Zbl 1141.35431 Bona, Jerry L.; Wu, Jiahong 16 2002 On solitary waves and their role in the evolution of long waves. Zbl 0498.76023 Bona, Jerry L. 15 1981 Well-posedness of a model for water waves with viscosity. Zbl 1238.35093 Ambrose, David M.; Bona, Jerry L.; Nicholls, David P. 15 2012 Conditional and unconditional well-posedness for nonlinear evolution equations. Zbl 1103.35092 Bona, Jerry L.; Sun, Shu-Ming; Zhang, Bing-Yu 14 2004 Computations of blow-up and decay for periodic solutions of the generalized Korteweg-de Vries-Burgers equation. Zbl 0757.65123 Bona, Jerry L.; Dougalis, Vassilios A.; Karakashian, Ohannes A.; McKinney, William R. 14 1992 Scaling, stability and singularities for nonlinear, dispersive wave equations: The critical case. Zbl 1034.35116 Angulo, J.; Bona, J. L.; Linares, F.; Scialom, M. 14 2002 Higher-order asymptotics of decaying solutions of some nonlinear, dispersive, dissipative wave equations. Zbl 0837.35130 Bona, J. L.; Promislow, K. S.; Wayne, C. E. 13 1995 Solitary waves in nonlinear dispersive systems. Zbl 1162.35438 Bona, Jerry; Chen, Hongqiu 13 2002 Well-posedness for regularized nonlinear dispersive wave equations. Zbl 1158.35412 Bona, Jerry; Chen, Hongqiu 13 2009 The existence of internal solitary waves in a two-fluid system near the KdV limit. Zbl 0708.76136 Bona, Jerry L.; Sachs, Robert L. 13 1989 Models for propagation of bores. I: Two dimensional theory. Zbl 0808.35122 Bona, J. L.; Rajopadhye, S. V.; Schonbek, M. E. 13 1994 Global well-posedness for a system of KdV-type equations with coupled quadratic nonlinearities. Zbl 1372.35271 Bona, Jerry L.; Cohen, Jonathan; Wang, Gang 13 2014 A KdV-type Boussinesq system: From the energy level to analytic spaces. Zbl 1183.35226 Bona, Jerry L.; Grujić, Zoran; Kalisch, Henrik 12 2010 The effect of dissipation on solutions of the generalized Korteweg-de Vries equation. Zbl 0869.65059 Bona, J. L.; Dougalis, V. A.; Karakashian, O. A.; McKinney, W. R. 12 1996 Stability of solitary-wave solutions of systems of dispersive equations. Zbl 1362.35253 Bona, Jerry L.; Chen, Hongqiu; Karakashian, Ohannes 12 2017 Convergence of periodic wavetrains in the limit of large wavelength. Zbl 0469.76018 Bona, Jerry L. 11 1981 Dispersive blow-up. II: Schrödinger-type equations, optical and oceanic rogue waves. Zbl 1204.35132 Bona, Jerry L.; Saut, Jean-Claude 10 2010 The initial-value problem for the forced Korteweg-de Vries equation. Zbl 0865.35114 Bona, Jerry L.; Zhang, Bing-Yu 10 1996 Fourier splitting and dissipation of nonlinear dispersive waves. Zbl 0947.35130 Bona, J. L.; Demengel, F.; Promislow, K. 10 1999 Comparison of quarter-plane and two-point boundary value problems: the BBM-equation. Zbl 1088.35057 Bona, Jerry L.; Chen, Hongqiu; Sun, Shu Ming; Zhang, B.-Y. 10 2005 Pole dynamics of interacting solitons and blowup of complex-valued solutions of KdV. Zbl 1154.35439 Bona, Jerry L.; Weissler, Fred B. 10 2009 On ill-posedness of truncated series models for water waves. Zbl 1371.35210 Ambrose, David M.; Bona, Jerry L.; Nicholls, David P. 10 2014 Global solutions and ill-posedness for the Kaup system and related Boussinesq systems. Zbl 1439.35389 Ambrose, David; Bona, Jerry; Milgrom, Timur 10 2019 Similarity solutions of the generalized Korteweg-de Vries equation. Zbl 0939.35164 Bona, J. L.; Weissler, F. B. 9 1999 A generalized Korteweg-de Vries equation in a quarter plane. Zbl 0922.35150 Bona, Jerry L.; Luo, Laihan 9 1999 The Cauchy problem and stability of solitary-wave solutions for RLW–KP-type equations. Zbl 1023.35085 Bona, Jerry L.; Liu, Yue; Tom, Michael M. 9 2002 Norm-inflation results for the BBM equation. Zbl 1350.35068 Bona, Jerry; Dai, Mimi 9 2017 Periodic traveling-wave solutions of nonlinear dispersive evolution equations. Zbl 1277.35096 Chen, Hongqiu; Bona, Jerry L. 8 2013 Comparison of model equations for small-amplitude long waves. Zbl 0948.35108 Bona, Jerry L.; Chen, Hongqiu 7 1999 Comparison of quarter-plane and two-point boundary value problems: the KdV-equation. Zbl 1123.35052 Bona, Jerry L.; Chen, Hongqiu; Sun, Shu-Ming; Zhang, Bing-Yu 7 2007 Asymptotic decomposition of nonlinear, dispersive wave equations with dissipation. Zbl 0982.35018 Bona, Jerry L.; Luo, Laihan 7 2001 On the asymptotic behavior of solutions to nonlinear, dispersive, dissipative wave equations. Zbl 0823.35018 Bona, Jerry; Promislow, Keith; Wayne, Gene 7 1994 Temporal growth and eventual periodicity for dispersive wave equations in a quarter plane. Zbl 1155.35428 Bona, Jerry; Wu, Jiahong 7 2009 Solitary-wave solutions of Benjamin-Ono and other systems for internal waves. I: Approximations. Zbl 1460.76146 Bona, Jerry L.; Durán, Angel; Mitsotakis, Dimitrios 2 2021 The KdV equation on the half-line: time-periodicity and mass transport. Zbl 1439.35424 Bona, Jerry L.; Lenells, Jonatan 1 2020 Global solutions and ill-posedness for the Kaup system and related Boussinesq systems. Zbl 1439.35389 Ambrose, David; Bona, Jerry; Milgrom, Timur 10 2019 Propagation of long-crested water waves. II. Bore propagation. Zbl 1447.76009 Bona, Jerry L.; Colin, Thierry; Guillopé, Colette 3 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 Further theory for a higher-order water wave model. Zbl 1479.35649 Bona, Jerry L.; Chen, Hongqiu; Guillopé, Colette 1 2019 Nonhomogeneous boundary-value problems for one-dimensional nonlinear Schrödinger equations. Zbl 1379.35287 Bona, Jerry L.; Sun, Shu-Ming; Zhang, Bing-Yu 42 2018 Higher-order Hamiltonian model for unidirectional water waves. Zbl 1384.35111 Bona, J. L.; Carvajal, X.; Panthee, M.; Scialom, M. 18 2018 Finite element methods for a system of dispersive equations. Zbl 1406.65083 Bona, Jerry L.; Chen, Hongqiu; Karakashian, Ohannes; Wise, Michael M. 4 2018 Felix Browder (1927–2016). Zbl 1406.35004 Brezis, 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 1362.35253 Bona, Jerry L.; Chen, Hongqiu; Karakashian, Ohannes 12 2017 Norm-inflation results for the BBM equation. Zbl 1350.35068 Bona, Jerry; Dai, Mimi 9 2017 Singular solutions of a Boussinesq system for water waves. Zbl 1374.35339 Bona, Jerry L.; Chen, Min 6 2016 Global well-posedness and singularity propagation for the BBM-BBM system on a quarter plane. Zbl 1382.35207 Bona, Jerry L.; Chen, Hongqiu; Hsia, Chun-Hsiung 1 2016 Stability and decay properties of solitary-wave solutions to the generalized BO-ZK equation. Zbl 1325.35162 Esfahani, Amin; Pastor, Ademir; Bona, Jerry L. 18 2015 Dispersive blow-up for nonlinear Schrödinger equations revisited. Zbl 1304.35132 Bona, J. L.; Ponce, G.; Saut, J.-C.; Sparber, C. 31 2014 Global well-posedness for a system of KdV-type equations with coupled quadratic nonlinearities. Zbl 1372.35271 Bona, Jerry L.; Cohen, Jonathan; Wang, Gang 13 2014 On ill-posedness of truncated series models for water waves. Zbl 1371.35210 Ambrose, David M.; Bona, Jerry L.; Nicholls, David P. 10 2014 Well-posedness for the \(BBM\)-equation in a quarter plane. Zbl 1302.35309 Bona, Jerry L.; Chen, Hongqiu; Hsia, Chun-Hsiung 1 2014 Conservative, discontinuous Galerkin-methods for the generalized Korteweg-de Vries equation. Zbl 1276.65058 Bona, J. L.; Chen, H.; Karakashian, O.; Xing, Y. 85 2013 Periodic traveling-wave solutions of nonlinear dispersive evolution equations. Zbl 1277.35096 Chen, Hongqiu; Bona, Jerry L. 8 2013 Propagation of long-crested water waves. Zbl 1302.35310 Bona, Jerry L.; Colin, Thierry; Guillopé, Colette 6 2013 Singularity formation and blowup of complex-valued solutions of the modified KdV equation. Zbl 1290.35221 Bona, Jerry L.; Vento, Stéphane; Weissler, Fred B. 3 2013 Well-posedness of a model for water waves with viscosity. Zbl 1238.35093 Ambrose, David M.; Bona, Jerry L.; Nicholls, David P. 15 2012 Hopf bifurcation for two-dimensional doubly diffusive convection. Zbl 1243.35016 Bona, Jerry L.; Hsia, Chun-Hsiung; Ma, Tian; Wang, Shouhong 4 2011 Large-time asymptotics of the generalized Benjamin-Ono-Burgers equation. Zbl 1218.35035 Bona, Jerry L.; Luo, Laihan 4 2011 A KdV-type Boussinesq system: From the energy level to analytic spaces. Zbl 1183.35226 Bona, Jerry L.; Grujić, Zoran; Kalisch, Henrik 12 2010 Dispersive blow-up. II: Schrödinger-type equations, optical and oceanic rogue waves. Zbl 1204.35132 Bona, Jerry L.; Saut, Jean-Claude 10 2010 Approximating initial-value problems with two-point boundary-value problems: BBM-equation. Zbl 1218.35203 Bona, J. L.; Chen, H.; Sun, S.-M.; Zhang, B.-Y. 3 2010 Sharp well-posedness results for the BBM equation. Zbl 1170.35303 Bona, Jerry; Tzvetkov, Nikolay 66 2009 A non-homogeneous boundary-value problem for the Korteweg-de Vries equation posed on a finite domain. II. Zbl 1181.35228 Bona, Jerry L.; Sun, Shu Ming; Zhang, Bing-Yu 35 2009 Well-posedness for regularized nonlinear dispersive wave equations. Zbl 1158.35412 Bona, Jerry; Chen, Hongqiu 13 2009 Pole dynamics of interacting solitons and blowup of complex-valued solutions of KdV. Zbl 1154.35439 Bona, Jerry L.; Weissler, Fred B. 10 2009 Temporal growth and eventual periodicity for dispersive wave equations in a quarter plane. Zbl 1155.35428 Bona, Jerry; Wu, Jiahong 7 2009 Asymptotic models for internal waves. Zbl 1138.76028 Bona, J. L.; Lannes, D.; Saut, J.-C. 69 2008 Non-homogeneous boundary value problems for the Korteweg-de Vries and the Korteweg-de Vries-Burgers equations in a quarter plane. Zbl 1157.35090 Bona, Jerry L.; Sun, S. M.; Zhang, Bing-Yu 39 2008 Nonlinear dispersive waves on trees. Zbl 1167.76054 Bona, Jerry L.; Cascaval, Radu C. 24 2008 Initial-boundary-value problems for linear and integrable nonlinear dispersive partial differential equations. Zbl 1230.30026 Bona, J. L.; Fokas, A. S. 18 2008 Numerical solution of Boussinesq systems of KdV-KdV type. II: Evolution of radiating solitary waves. Zbl 1158.35411 Bona, J. L.; Dougalis, V. A.; Mitsotakis, D. E. 17 2008 Numerical solution of KdV-KdV systems of Boussinesq equations. I: The numerical scheme and generalized solitary waves. Zbl 1158.35410 Bona, J. L.; Dougalis, V. A.; Mitsotakis, D. E. 25 2007 Comparison of quarter-plane and two-point boundary value problems: the KdV-equation. Zbl 1123.35052 Bona, Jerry L.; Chen, Hongqiu; Sun, Shu-Ming; Zhang, Bing-Yu 7 2007 On the stability of KdV multi-solitons. Zbl 1212.35380 Albert, John P.; Bona, Jerry L.; Nguyen, Nghiem V. 7 2007 Stability of cnoidal waves. Zbl 1147.35079 Angulo Pava, Jaime; Bona, Jerry L.; Scialom, Marcia 58 2006 Boundary smoothing properties of the Korteweg-de Vries equation in a quarter plane and applications. Zbl 1152.35099 Bona, Jerry L.; Sun, S. M.; Zhang, Bingyu 32 2006 Comparisons between the BBM equation and a Boussinesq system. Zbl 1104.35039 Alazman, A. A.; Albert, J. P.; Bona, J. L.; Chen, M.; Wu, J. 31 2006 Global solutions of the derivative Schrödinger equation in a class of functions analytic in a strip. Zbl 1109.35103 Bona, Jerry L.; Grujić, Zoran; Kalisch, Henrik 28 2006 Long wave approximations for water waves. Zbl 1108.76012 Bona, Jerry L.; Colin, Thierry; Lannes, David 116 2005 Algebraic lower bounds for the uniform radius of spatial analyticity for the generalized KdV equation. Zbl 1095.35039 Bona, Jerry L.; Grujić, Zoran; Kalisch, Henrik 51 2005 Comparison of quarter-plane and two-point boundary value problems: the BBM-equation. Zbl 1088.35057 Bona, Jerry L.; Chen, Hongqiu; Sun, Shu Ming; Zhang, B.-Y. 10 2005 Wave generation by a moving boundary. Zbl 1084.35069 Bona, 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 1059.35103 Bona, J. L.; Chen, M.; Saut, J.-C. 143 2004 Singularity formation in the generalized Benjamin-Ono equation. Zbl 1063.35134 Bona, J. L.; Kalisch, H. 16 2004 Conditional and unconditional well-posedness for nonlinear evolution equations. Zbl 1103.35092 Bona, Jerry L.; Sun, Shu-Ming; Zhang, Bing-Yu 14 2004 Stability of solitary waves in higher-order Sobolev spaces. Zbl 1089.35057 Bona, 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 1057.35049 Bona, Jerry L.; Sun, Shu Ming; Zhang, Bing-Yu 130 2003 Forced oscillations of a damped Korteweg-de Vries equation in a quarter plane. Zbl 1054.35076 Bona, Jerry L.; Sun, S. M.; Zhang, Bing-Yu 30 2003 Spatial analyticity properties of nonlinear waves. Zbl 1137.35418 Bona, Jerry L.; Grujić, Zoran 20 2003 Long wave approximations for water waves. Zbl 1050.76006 Bona, Jerry; Colin, Thierry; Lannes, David 3 2003 Local and global well-posedness results for generalized BBM-type equations. Zbl 1045.35052 Bona, 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 1022.35044 Bona, J. L.; Chen, M.; Saut, J.-C. 227 2002 A non-homogeneous boundary-value problem for the Korteweg-de Vries equation in a quarter plane. Zbl 0988.35141 Bona, Jerry L.; Sun, S. M.; Zhang, Bing-Yu 88 2002 The zero-viscosity limit of the 2D Navier-Stokes equations. Zbl 1141.35431 Bona, Jerry L.; Wu, Jiahong 16 2002 Scaling, stability and singularities for nonlinear, dispersive wave equations: The critical case. Zbl 1034.35116 Angulo, J.; Bona, J. L.; Linares, F.; Scialom, M. 14 2002 Solitary waves in nonlinear dispersive systems. Zbl 1162.35438 Bona, Jerry; Chen, Hongqiu 13 2002 The Cauchy problem and stability of solitary-wave solutions for RLW–KP-type equations. Zbl 1023.35085 Bona, Jerry L.; Liu, Yue; Tom, Michael M. 9 2002 Instability of solitary-wave solutions of the 3-dimensional Kadomtsev-Petviashvili equation. Zbl 1223.35271 Bona, Jerry L.; Liu, Yue 3 2002 Asymptotic decomposition of nonlinear, dispersive wave equations with dissipation. Zbl 0982.35018 Bona, Jerry L.; Luo, Laihan 7 2001 Blow-up of spatially periodic complex-valued solutions of nonlinear dispersive equations. Zbl 1330.35036 Bona, J. L.; Weissler, F. B. 4 2001 Stabilizing monetary-injection policies. Zbl 1028.91544 Bona, Jerry L.; Li, Jenny X. 2 2001 Models for internal waves in deep water. Zbl 1021.76006 Kalisch, Henrik; Bona, Jerry L. 34 2000 Stable and unstable solitary-wave solutions of the generalized regularized long-wave equation. Zbl 0972.35131 Bona, J. L.; McKinney, W. R.; Restrepo, J. M. 33 2000 Zero-dissipation limit for nonlinear waves. Zbl 0953.76006 Bona, 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 0945.76012 Albert, John P.; Bona, Jerry L.; Restrepo, Juan Mario 36 1999 Fourier splitting and dissipation of nonlinear dispersive waves. Zbl 0947.35130 Bona, J. L.; Demengel, F.; Promislow, K. 10 1999 Similarity solutions of the generalized Korteweg-de Vries equation. Zbl 0939.35164 Bona, J. L.; Weissler, F. B. 9 1999 A generalized Korteweg-de Vries equation in a quarter plane. Zbl 0922.35150 Bona, Jerry L.; Luo, Laihan 9 1999 Comparison of model equations for small-amplitude long waves. Zbl 0948.35108 Bona, 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 0937.35165 Angulo, Jaime; Bona, Jerry L.; Linares, Felipe; Scialom, Marcia 1 1999 A Boussinesq system for two-way propagation of nonlinear dispersive waves. Zbl 0962.76515 Bona, Jerry L.; Chen, Min 63 1998 Existence and asymptotic properties of solitary-wave solutions of Benjamin-type equations. Zbl 0944.35082 Chen, Hongqiu; Bona, Jerry L. 21 1998 Decay and analyticity of solitary waves. Zbl 0878.35098 Bona, Jerry L.; Li, Yi A. 44 1997 Model equations for waves in stratified fluids. Zbl 0886.35111 Albert, J. P.; Bona, J. L.; Saut, J.-C. 37 1997 On the role of computation in economic theory. Zbl 0883.90056 Bona, Jerry L.; Santos, Manuel S. 3 1997 Higher-order Boussinesq systems for two-way propagations of water waves. Zbl 0972.35130 Chen, Min; Bona, Jerry L. 1 1997 On the Korteweg-de Vries-Kuramoto-Sivashinsky equation. Zbl 0844.35103 Biagioni, H. A.; Bona, J. L.; Iorio, R. J. jun.; Scialom, M. 34 1996 Analyticity of solitary-wave solutions of model equations for long waves. Zbl 0851.35117 Li, Yi A.; Bona, Jerry L. 16 1996 The effect of dissipation on solutions of the generalized Korteweg-de Vries equation. Zbl 0869.65059 Bona, 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 0865.35114 Bona, Jerry L.; Zhang, Bing-Yu 10 1996 Numerical simulation of singular solutions of the generalized Korteweg-de Vries equation. Zbl 0860.35112 Bona, 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 0824.65095 Bona, J. L.; Dougalis, V. A.; Karakashian, O. A.; McKinney, W. R. 81 1995 More results on the decay of solutions to nonlinear, dispersive wave equations. Zbl 0870.35088 Bona, Jerry L.; Luo, Laihan 19 1995 Higher-order asymptotics of decaying solutions of some nonlinear, dispersive, dissipative wave equations. Zbl 0837.35130 Bona, 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 0832.35123 Bona, J. L.; Scialom, M. 5 1995 Three-dimensional model for the formation of longshore sand structures on the continental shelf. Zbl 0833.76009 Restrepo, Juan Mario; Bona, Jerry L. 1 1995 Discretization of a model for the formation of longshore sand ridges. Zbl 0879.76062 Restrepo, Juan Mario; Bona, Jerry L. 1 1995 On the comparison of solutions of model equations for long waves. Zbl 0854.35099 Bona, J. L.; Scialom, M. 1 1995 On the stability of solitary-wave solutions of model equations for long waves. Zbl 0809.35095 Bona, J. L.; Soyeur, A. 27 1994 Models for propagation of bores. I: Two dimensional theory. Zbl 0808.35122 Bona, J. L.; Rajopadhye, S. V.; Schonbek, M. E. 13 1994 On the asymptotic behavior of solutions to nonlinear, dispersive, dissipative wave equations. Zbl 0823.35018 Bona, Jerry; Promislow, Keith; Wayne, Gene 7 1994 ...and 42 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,861 Authors 50 Bona, Jerry Lloyd 37 Zhang, Bingyu 33 Saut, Jean-Claude 31 Guo, Boling 30 Himonas, A. Alexandrou 30 Liu, Yue 29 Kalisch, Henrik 27 Esfahani, Amin 26 Mitsotakis, Dimitrios E. 26 Ponce, Gustavo 25 Linares, Felipe 24 Dutykh, Denys 24 Pazoto, Ademir Fernando 23 Dougalis, Vassilios A. 23 Lar’kin, Nikolaj Andreevich 20 Hayashi, Nakao 20 Pastor, Ademir 20 Yin, Zhaoyang 20 Zhang, Weiguo 19 Kaikina, Elena Igorevna 19 Muñoz, Claudio 19 Natali, Fábio M. Amorin 19 Naumkin, Pavel Ivanovich 18 Angulo Pava, Jaime 17 Duran, Angel 17 Panthee, Mahendra 16 Chen, Min 16 Mammeri, Youcef 15 Molinet, Luc 15 Mu, Chunlai 14 Carvajal, Xavier Paredes 14 Kenig, Carlos Eduardo 14 Sun, Shuming 14 Wazwaz, Abdul-Majid Abdul-Rahman 13 Capistrano-Filho, Roberto de A. 13 Coclite, Giuseppe Maria 13 Dağ, İdris 13 Erbay, Saadet 13 Erkip, Albert Kohen 13 Lannes, David 13 Liu, Hailiang 13 Mai Duc Thanh 13 Martel, Yvan 13 Tzvetkov, Nikolay 12 Cavalcante, Márcio André Araújo 12 Chen, Robin Ming 12 Hakkaev, Sevdzhan A. 12 Israwi, Samer 12 Liu, Zhengrong 12 Muñoz Grajales, Juan Carlos 12 Omrani, Khaled 12 Wang, Ming 12 Xing, Yulong 11 Capistrano-Filho, Roberto A. 11 Di Ruvo, Lorenzo 11 Faminskii, Andrei V. 11 Farah, Luiz Gustavo 11 Fokas, Athanassios S. 11 Karakashian, Ohannes A. 11 Yan, Fangchi 11 Zhang, Linghai 10 Ambrose, David M. 10 Chentouf, Boumediène 10 Gallego, Fernando Andrés 10 Goubet, Olivier 10 Lenells, Jonatan 10 Mantzavinos, Dionyssios 10 Petronilho, Gerson 10 Shu, Chi-Wang 10 Tesfahun, Achenef 9 Cappiello, Marco 9 Gao, Hongjun 9 Lai, Shaoyong 9 Merle, Frank 9 Pilod, Didier 9 Scialom, Marcia 9 Smaoui, Nejib 9 Stefanov, Atanas G. 9 Umarov, Khasan Galsanovich 9 Vega, Luis 9 Xu, Yan 9 Yang, Zhijian 9 Zhou, Jun 9 Zhou, Shouming 8 Camassa, Roberto 8 Chen, Hongqiu 8 Granero Belinchón, Rafael 8 Holmer, Justin 8 Hur, Vera Mikyoung 8 Johnson, Mathew A. 8 Klein, Christian 8 Korpusov, Maksim Olegovich 8 Kwak, Chulkwang 8 Nguyen Huy Tuan 8 Omel’yanov, Georgii A. 8 Pelinovsky, Dmitry Efimovich 8 Perla Menzala, Gustavo Alberto 8 Rosier, Lionel 8 Saka, Bülent 8 Xu, Runzhang ...and 2,761 more Authors all top 5 Cited in 387 Serials 163 Journal of Differential Equations 126 Journal of Mathematical Analysis and Applications 110 Nonlinear Analysis. 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