Escher, Joachim; Ivanov, Rossen; Kolev, Boris Euler equations on a semi-direct product of the diffeomorphisms group by itself. (English) Zbl 1277.37101 J. Geom. Mech. 3, No. 3, 313-322 (2011). MSC: 37K65 35Q53 58D05 PDFBibTeX XMLCite \textit{J. Escher} et al., J. Geom. Mech. 3, No. 3, 313--322 (2011; Zbl 1277.37101) Full Text: DOI
Kolev, Boris Some geometric investigations on the Degasperis-Procesi shallow water equation. (English) Zbl 1231.76044 Wave Motion 46, No. 6, 412-419 (2009). MSC: 76B15 37K65 35Q35 37N10 PDFBibTeX XMLCite \textit{B. Kolev}, Wave Motion 46, No. 6, 412--419 (2009; Zbl 1231.76044) Full Text: DOI
Kolev, Boris Bi-Hamiltonian systems on the dual of the Lie algebra of vector fields of the circle and periodic shallow water equations. (English) Zbl 1152.37344 Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 365, No. 1858, 2333-2357 (2007). MSC: 37K65 76B15 35Q53 37K05 37N10 PDFBibTeX XMLCite \textit{B. Kolev}, Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 365, No. 1858, 2333--2357 (2007; Zbl 1152.37344) Full Text: DOI arXiv
Constantin, A.; Kappeler, T.; Kolev, B.; Topalov, P. On geodesic exponential maps of the Virasoro group. (English) Zbl 1121.35111 Ann. Global Anal. Geom. 31, No. 2, 155-180 (2007). MSC: 35Q35 37K30 37K25 58B25 PDFBibTeX XMLCite \textit{A. Constantin} et al., Ann. Global Anal. Geom. 31, No. 2, 155--180 (2007; Zbl 1121.35111) Full Text: DOI Link
Constantin, A.; Kolev, B.; Lenells, J. Integrability of invariant metrics on the Virasoro group. (English) Zbl 1195.58006 Phys. Lett., A 350, No. 1-2, 75-80 (2006). MSC: 58B20 35Q35 35Q53 37K65 58D05 37K45 PDFBibTeX XMLCite \textit{A. Constantin} et al., Phys. Lett., A 350, No. 1--2, 75--80 (2006; Zbl 1195.58006) Full Text: DOI
Kolev, Boris Lie groups and mechanics: an introduction. (English) Zbl 1069.35070 J. Nonlinear Math. Phys. 11, No. 4, 480-498 (2004). MSC: 35Q53 70G65 37K30 22E70 PDFBibTeX XMLCite \textit{B. Kolev}, J. Nonlinear Math. Phys. 11, No. 4, 480--498 (2004; Zbl 1069.35070) Full Text: DOI arXiv
Constantin, Adrian; Kolev, B. \(H^k\) metrics on the diffeomorphism group of the circle. (English) Zbl 1043.58004 J. Nonlinear Math. Phys. 10, No. 4, 424-430 (2003). Reviewer: Andrew Bucki (Oklahoma City) MSC: 58D05 58B25 22E65 37K65 PDFBibTeX XMLCite \textit{A. Constantin} and \textit{B. Kolev}, J. Nonlinear Math. Phys. 10, No. 4, 424--430 (2003; Zbl 1043.58004) Full Text: DOI arXiv
Constantin, Adrian; Kolev, Boris Geodesic flow on the diffeomorphism group of the circle. (English) Zbl 1037.37032 Comment. Math. Helv. 78, No. 4, 787-804 (2003). MSC: 37K65 35Q35 58B25 53D25 PDFBibTeX XMLCite \textit{A. Constantin} and \textit{B. Kolev}, Comment. Math. Helv. 78, No. 4, 787--804 (2003; Zbl 1037.37032) Full Text: DOI