Klein, Christian; Stoilov, Nikola Spectral approach to Korteweg-de Vries equations on the compactified real line. (English) Zbl 1484.65259 Appl. Numer. Math. 177, 160-170 (2022). MSC: 65M70 PDFBibTeX XMLCite \textit{C. Klein} and \textit{N. Stoilov}, Appl. Numer. Math. 177, 160--170 (2022; Zbl 1484.65259) Full Text: DOI arXiv
Klein, Christian; Stoilov, Nikola Numerical study of break-up in solutions to the dispersionless Kadomtsev-Petviashvili equation. (English) Zbl 1486.65202 Lett. Math. Phys. 111, No. 5, Paper No. 113, 15 p. (2021). Reviewer: Anouar Ben Mabrouk (Monastir) MSC: 65M70 65M06 65T50 65N35 76L05 35Q53 PDFBibTeX XMLCite \textit{C. Klein} and \textit{N. Stoilov}, Lett. Math. Phys. 111, No. 5, Paper No. 113, 15 p. (2021; Zbl 1486.65202) Full Text: DOI
Klein, Christian; McLaughlin, Ken; Stoilov, Nikola [Kalla, Caroline] High precision numerical approach for Davey-Stewartson II type equations for Schwartz class initial data. (English) Zbl 1472.65127 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 476, No. 2239, Article ID 20190864, 17 p. (2020). MSC: 65M70 35Q55 PDFBibTeX XMLCite \textit{C. Klein} et al., Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 476, No. 2239, Article ID 20190864, 17 p. (2020; Zbl 1472.65127) Full Text: DOI arXiv
Crespo, S.; Fasondini, M.; Klein, C.; Stoilov, N.; Vallée, C. Multidomain spectral method for the Gauss hypergeometric function. (English) Zbl 1462.65092 Numer. Algorithms 84, No. 1, 1-35 (2020). MSC: 65L60 33C05 65D20 PDFBibTeX XMLCite \textit{S. Crespo} et al., Numer. Algorithms 84, No. 1, 1--35 (2020; Zbl 1462.65092) Full Text: DOI arXiv Link
Klein, Christian; McLaughlin, Ken; Stoilov, Nikola Spectral approach to the scattering map for the semi-classical defocusing Davey-Stewartson II equation. (English) Zbl 1453.37062 Physica D 400, Article ID 132126, 9 p. (2019). MSC: 37K35 65R20 65N35 35R30 PDFBibTeX XMLCite \textit{C. Klein} et al., Physica D 400, Article ID 132126, 9 p. (2019; Zbl 1453.37062) Full Text: DOI arXiv
Pavlov, Maxim V.; Stoilov, Nikola M. The WDVV associativity equations as a high-frequency limit. (English) Zbl 1404.37077 J. Nonlinear Sci. 28, No. 5, 1843-1864 (2018). Reviewer: Ivan C. Sterling (St. Mary’s City) MSC: 37K05 37K10 37K20 37K25 PDFBibTeX XMLCite \textit{M. V. Pavlov} and \textit{N. M. Stoilov}, J. Nonlinear Sci. 28, No. 5, 1843--1864 (2018; Zbl 1404.37077) Full Text: DOI
Klein, Christian; Stoilov, Nikola Numerical approach to Painlevé transcendents on unbounded domains. (English) Zbl 1397.34157 SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 068, 10 p. (2018). MSC: 34M55 65L99 PDFBibTeX XMLCite \textit{C. Klein} and \textit{N. Stoilov}, SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 068, 10 p. (2018; Zbl 1397.34157) Full Text: DOI arXiv
Pavlov, Maxim V.; Stoilov, Nikola M. Three dimensional reductions of four-dimensional quasilinear systems. (English) Zbl 1386.35043 J. Math. Phys. 58, No. 11, 111510, 9 p. (2017). MSC: 35F50 PDFBibTeX XMLCite \textit{M. V. Pavlov} and \textit{N. M. Stoilov}, J. Math. Phys. 58, No. 11, 111510, 9 p. (2017; Zbl 1386.35043) Full Text: DOI arXiv
Ferapontov, E. V.; Novikov, V. S.; Stoilov, N. M. Dispersive deformations of Hamiltonian systems of hydrodynamic type in \(2+1\) dimensions. (English) Zbl 1321.37069 Physica D 241, No. 23-24, 2138-2144 (2012). MSC: 37K10 PDFBibTeX XMLCite \textit{E. V. Ferapontov} et al., Physica D 241, No. 23--24, 2138--2144 (2012; Zbl 1321.37069) Full Text: DOI arXiv
Ferapontov, E. V.; Odesskii, A. V.; Stoilov, N. M. Classification of integrable two-component Hamiltonian systems of hydrodynamic type in \(2 + 1\) dimensions. (English) Zbl 1317.37071 J. Math. Phys. 52, No. 7, 073505, 28 p. (2011). MSC: 37K10 37K25 37P45 35Q35 33C45 PDFBibTeX XMLCite \textit{E. V. Ferapontov} et al., J. Math. Phys. 52, No. 7, 073505, 28 p. (2011; Zbl 1317.37071) Full Text: DOI arXiv