Klein, Christian; Sparber, Christof Transverse stability of periodic traveling waves in Kadomtsev-Petviashvili equations: a numerical study. (English) Zbl 1317.35221 Nahmod, Andrea R. (ed.) et al., Recent advances in harmonic analysis and partial differential equations. Selected papers from the AMS special session on nonlinear analysis of partial differential equations, Statesboro, GA, USA, March 12–13, 2011 and the JAMI conference on analysis of PDEs, Baltimore, MD, USA, March 21–25, 2011. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-6921-5/pbk; 978-0-8218-9402-6/ebook). Contemporary Mathematics 581, 155-168 (2012). MSC: 35Q53 35B10 35B35 35C07 35C08 PDFBibTeX XMLCite \textit{C. Klein} and \textit{C. Sparber}, Contemp. Math. 581, 155--168 (2012; Zbl 1317.35221) Full Text: DOI arXiv
Adem, Abdullahi Rashid; Khalique, Chaudry Masood On the solutions and conservation laws of a coupled KdV system. (English) Zbl 1291.35270 Appl. Math. Comput. 219, No. 3, 959-969 (2012). MSC: 35Q53 35K57 PDFBibTeX XMLCite \textit{A. R. Adem} and \textit{C. M. Khalique}, Appl. Math. Comput. 219, No. 3, 959--969 (2012; Zbl 1291.35270) Full Text: DOI
Muñoz, Juan C.; Quintero, José R. Instability of periodic travelling waves with mean zero for a 1D Boussinesq system. (English) Zbl 1282.35312 Commun. Math. Sci. 10, No. 4, 1173-1205 (2012). MSC: 35Q35 35C07 35Q51 35Q53 76B25 PDFBibTeX XMLCite \textit{J. C. Muñoz} and \textit{J. R. Quintero}, Commun. Math. Sci. 10, No. 4, 1173--1205 (2012; Zbl 1282.35312) Full Text: DOI Link
Yakimov, A. Yu. Equations for nonlinear waves on shallow water. (English. Russian original) Zbl 1262.76018 Fluid Dyn. 47, No. 6, 789-792 (2012); translation from Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza 2012, No. 6, 789-792 (2012). MSC: 76B15 76B25 PDFBibTeX XMLCite \textit{A. Yu. Yakimov}, Fluid Dyn. 47, No. 6, 789--792 (2012; Zbl 1262.76018); translation from Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza 2012, No. 6, 789--792 (2012) Full Text: DOI
Erdoğan, M. B.; Tzirakis, N.; Zharnitsky, V. High frequency perturbation of cnoidal waves in KdV. (English) Zbl 1259.35184 SIAM J. Math. Anal. 44, No. 6, 4147-4164 (2012). MSC: 35Q53 37K45 PDFBibTeX XMLCite \textit{M. B. Erdoğan} et al., SIAM J. Math. Anal. 44, No. 6, 4147--4164 (2012; Zbl 1259.35184) Full Text: DOI arXiv
Adem, Abdullahi Rashid; Khalique, Chaudry Masood Symmetry reductions, exact solutions and conservation laws of a new coupled KdV system. (English) Zbl 1248.35180 Commun. Nonlinear Sci. Numer. Simul. 17, No. 9, 3465-3475 (2012). MSC: 35Q53 35C08 35L65 35B06 PDFBibTeX XMLCite \textit{A. R. Adem} and \textit{C. M. Khalique}, Commun. Nonlinear Sci. Numer. Simul. 17, No. 9, 3465--3475 (2012; Zbl 1248.35180) Full Text: DOI