 Previous Article
 DCDSB Home
 This Issue

Next Article
The longtime behaviour for nonlinear Schrödinger equation and its rational pseudospectral approximation
The complex KdV equation with or without dissipation
1.  Department of Mathematics, Oklahoma State University, Stillwater, OK 74078, United States 
[1] 
Jerry L. Bona, Stéphane Vento, Fred B. Weissler. Singularity formation and blowup of complexvalued solutions of the modified KdV equation. Discrete and Continuous Dynamical Systems, 2013, 33 (11&12) : 48114840. doi: 10.3934/dcds.2013.33.4811 
[2] 
S. Raynor, G. Staffilani. Low regularity stability of solitons for the KDV equation. Communications on Pure and Applied Analysis, 2003, 2 (3) : 277296. doi: 10.3934/cpaa.2003.2.277 
[3] 
Yuqian Zhou, Qian Liu. Reduction and bifurcation of traveling waves of the KdVBurgersKuramoto equation. Discrete and Continuous Dynamical Systems  B, 2016, 21 (6) : 20572071. doi: 10.3934/dcdsb.2016036 
[4] 
Zhaosheng Feng, Qingguo Meng. Exact solution for a twodimensional KDVBurgerstype equation with nonlinear terms of any order. Discrete and Continuous Dynamical Systems  B, 2007, 7 (2) : 285291. doi: 10.3934/dcdsb.2007.7.285 
[5] 
Annie Millet, Svetlana Roudenko. Generalized KdV equation subject to a stochastic perturbation. Discrete and Continuous Dynamical Systems  B, 2018, 23 (3) : 11771198. doi: 10.3934/dcdsb.2018147 
[6] 
Rowan Killip, Soonsik Kwon, Shuanglin Shao, Monica Visan. On the masscritical generalized KdV equation. Discrete and Continuous Dynamical Systems, 2012, 32 (1) : 191221. doi: 10.3934/dcds.2012.32.191 
[7] 
María Santos Bruzón, Tamara María Garrido. Symmetries and conservation laws of a KdV6 equation. Discrete and Continuous Dynamical Systems  S, 2018, 11 (4) : 631641. doi: 10.3934/dcdss.2018038 
[8] 
Tadahiro Oh, Yuzhao Wang. On global wellposedness of the modified KdV equation in modulation spaces. Discrete and Continuous Dynamical Systems, 2021, 41 (6) : 29712992. doi: 10.3934/dcds.2020393 
[9] 
Gianluca FrascaCaccia, Peter E. Hydon. Locally conservative finite difference schemes for the modified KdV equation. Journal of Computational Dynamics, 2019, 6 (2) : 307323. doi: 10.3934/jcd.2019015 
[10] 
Rong Rong, Yi Peng. KdVtype equation limit for ion dynamics system. Communications on Pure and Applied Analysis, 2021, 20 (4) : 16991719. doi: 10.3934/cpaa.2021037 
[11] 
Benjamin Dodson, Cristian Gavrus. Instability of the soliton for the focusing, masscritical generalized KdV equation. Discrete and Continuous Dynamical Systems, 2022, 42 (4) : 17671799. doi: 10.3934/dcds.2021171 
[12] 
Aiyong Chen, Chi Zhang, Wentao Huang. Limit speed of traveling wave solutions for the perturbed generalized KdV equation. Discrete and Continuous Dynamical Systems  S, 2022 doi: 10.3934/dcdss.2022048 
[13] 
Jongmin Han, Masoud Yari. Dynamic bifurcation of the complex SwiftHohenberg equation. Discrete and Continuous Dynamical Systems  B, 2009, 11 (4) : 875891. doi: 10.3934/dcdsb.2009.11.875 
[14] 
Mostafa Abounouh, Olivier Goubet. Regularity of the attractor for kp1Burgers equation: the periodic case. Communications on Pure and Applied Analysis, 2004, 3 (2) : 237252. doi: 10.3934/cpaa.2004.3.237 
[15] 
MaríaSantos Bruzón, Elena Recio, TamaraMaría Garrido, Rafael de la Rosa. Lie symmetries, conservation laws and exact solutions of a generalized quasilinear KdV equation with degenerate dispersion. Discrete and Continuous Dynamical Systems  S, 2020, 13 (10) : 26912701. doi: 10.3934/dcdss.2020222 
[16] 
Ademir Fernando Pazoto, Lionel Rosier. Uniform stabilization in weighted Sobolev spaces for the KdV equation posed on the halfline. Discrete and Continuous Dynamical Systems  B, 2010, 14 (4) : 15111535. doi: 10.3934/dcdsb.2010.14.1511 
[17] 
Mamoru Okamoto. Asymptotic behavior of solutions to a higherorder KdVtype equation with critical nonlinearity. Evolution Equations and Control Theory, 2019, 8 (3) : 567601. doi: 10.3934/eect.2019027 
[18] 
Jerry L. Bona, Hongqiu Chen, ShuMing Sun, BingYu Zhang. Comparison of quarterplane and twopoint boundary value problems: The KdVequation. Discrete and Continuous Dynamical Systems  B, 2007, 7 (3) : 465495. doi: 10.3934/dcdsb.2007.7.465 
[19] 
Marina Chugunova, Dmitry Pelinovsky. Twopulse solutions in the fifthorder KdV equation: Rigorous theory and numerical approximations. Discrete and Continuous Dynamical Systems  B, 2007, 8 (4) : 773800. doi: 10.3934/dcdsb.2007.8.773 
[20] 
Andreia Chapouto. A remark on the wellposedness of the modified KdV equation in the FourierLebesgue spaces. Discrete and Continuous Dynamical Systems, 2021, 41 (8) : 39153950. doi: 10.3934/dcds.2021022 
2020 Impact Factor: 1.327
Tools
Metrics
Other articles
by authors
[Back to Top]