Vitanov, Nikolay K.; Vitanov, Kaloyan N. Population dynamics in presence of state dependent fluctuations. (English) Zbl 1362.92069 Comput. Math. Appl. 68, No. 9, 962-971 (2014). MSC: 92D25 60H10 PDFBibTeX XMLCite \textit{N. K. Vitanov} and \textit{K. N. Vitanov}, Comput. Math. Appl. 68, No. 9, 962--971 (2014; Zbl 1362.92069) Full Text: DOI
Vitanov, Nikolay K.; Dimitrova, Zlatinka I.; Vitanov, Kaloyan N. Traveling waves and statistical distributions connected to systems of interacting populations. (English) Zbl 1351.35238 Comput. Math. Appl. 66, No. 9, 1666-1684 (2013). MSC: 35Q92 35C07 82C31 92D25 PDFBibTeX XMLCite \textit{N. K. Vitanov} et al., Comput. Math. Appl. 66, No. 9, 1666--1684 (2013; Zbl 1351.35238) Full Text: DOI
Wen, Baole; Chini, Gregory P.; Dianati, Navid; Doering, Charles R. Computational approaches to aspect-ratio-dependent upper bounds and heat flux in porous medium convection. (English) Zbl 1370.76182 Phys. Lett., A 377, No. 41, 2931-2938 (2013). MSC: 76S05 76Rxx 76M25 PDFBibTeX XMLCite \textit{B. Wen} et al., Phys. Lett., A 377, No. 41, 2931--2938 (2013; Zbl 1370.76182) Full Text: DOI
Dimitrova, Zlatinka On traveling waves in lattices: the case of Riccati lattices. (English) Zbl 1330.35062 J. Theor. Appl. Mech., Sofia 42, No. 3, 3-22 (2012). MSC: 35C07 35G20 PDFBibTeX XMLCite \textit{Z. Dimitrova}, J. Theor. Appl. Mech., Sofia 42, No. 3, 3--22 (2012; Zbl 1330.35062) Full Text: arXiv
Vitanov, Nikolay K. On modified method of simplest equation for obtaining exact and approximate solutions of nonlinear PDEs: The role of the simplest equation. (English) Zbl 1222.65116 Commun. Nonlinear Sci. Numer. Simul. 16, No. 11, 4215-4231 (2011). MSC: 65M99 35G31 34A34 35J65 65L05 PDFBibTeX XMLCite \textit{N. K. Vitanov}, Commun. Nonlinear Sci. Numer. Simul. 16, No. 11, 4215--4231 (2011; Zbl 1222.65116) Full Text: DOI
Vitanov, Nikolay Numerical investigation of the upper bounds on the convective heat transport in a heated from below rotating fluid layer. (English) Zbl 1318.76021 Dimov, Ivan (ed.) et al., Numerical methods and applications. 7th international conference, NMA 2010, Borovets, Bulgaria, August 20–24, 2010. Revised papers. Berlin: Springer (ISBN 978-3-642-18465-9/pbk). Lecture Notes in Computer Science 6046, 502-509 (2011). MSC: 76U05 35Q35 35Q79 76M10 76M30 76R10 PDFBibTeX XMLCite \textit{N. Vitanov}, Lect. Notes Comput. Sci. 6046, 502--509 (2011; Zbl 1318.76021) Full Text: DOI
Vitanov, N. K.; Jordanov, I. P.; Dimitrova, Z. I. On nonlinear dynamics of interacting populations: coupled kink waves in a system of two populations. (English) Zbl 1221.35422 Commun. Nonlinear Sci. Numer. Simul. 14, No. 5, 2379-2388 (2009). MSC: 35Q92 92D25 PDFBibTeX XMLCite \textit{N. K. Vitanov} et al., Commun. Nonlinear Sci. Numer. Simul. 14, No. 5, 2379--2388 (2009; Zbl 1221.35422) Full Text: DOI
Vitanov, Nikolay K.; Jordanov, Ivan P.; Dimitrova, Zlatinka I. On nonlinear population waves. (English) Zbl 1181.92083 Appl. Math. Comput. 215, No. 8, 2950-2964 (2009). MSC: 92D40 35Q92 35B35 PDFBibTeX XMLCite \textit{N. K. Vitanov} et al., Appl. Math. Comput. 215, No. 8, 2950--2964 (2009; Zbl 1181.92083) Full Text: DOI
Vitanov, Nikolay K. Upper bounds on the heat transport in a porous layer. (English) Zbl 0960.76090 Physica D 136, No. 3-4, 322-339 (2000). MSC: 76S05 76M30 80A20 76M45 76R10 PDFBibTeX XMLCite \textit{N. K. Vitanov}, Physica D 136, No. 3--4, 322--339 (2000; Zbl 0960.76090) Full Text: DOI
Kerswell, R. R. Unification of variational principles for turbulent shear flows: The background method of Doering-Constantin and the mean-fluctuation formulation of Howard-Busse. (English) Zbl 0958.76034 Physica D 121, No. 1-2, 175-192 (1998). MSC: 76F10 76M30 76D05 PDFBibTeX XMLCite \textit{R. R. Kerswell}, Physica D 121, No. 1--2, 175--192 (1998; Zbl 0958.76034) Full Text: DOI