Jia, Minxin; Geng, Xianguo; Wei, Jiao Algebro-geometric quasi-periodic solutions to the Bogoyavlensky lattice 2(3) equations. (English) Zbl 07615128 J. Nonlinear Sci. 32, No. 6, Paper No. 98, 34 p. (2022). MSC: 37K60 37K10 37K20 14H42 14H70 PDFBibTeX XMLCite \textit{M. Jia} et al., J. Nonlinear Sci. 32, No. 6, Paper No. 98, 34 p. (2022; Zbl 07615128) Full Text: DOI
Li, Xing; Zhang, Da-jun Elliptic soliton solutions: \(\tau\) functions, vertex operators and bilinear identities. (English) Zbl 1503.37075 J. Nonlinear Sci. 32, No. 5, Paper No. 70, 53 p. (2022). MSC: 37K10 37K40 37K20 35Q51 35C07 35C08 PDFBibTeX XMLCite \textit{X. Li} and \textit{D.-j. Zhang}, J. Nonlinear Sci. 32, No. 5, Paper No. 70, 53 p. (2022; Zbl 1503.37075) Full Text: DOI arXiv
Himonas, A. Alexandrou; Holliman, Curtis Instability and nonuniqueness for the \(b\)-Novikov equation. (English) Zbl 1489.35238 J. Nonlinear Sci. 32, No. 4, Paper No. 46, 29 p. (2022). MSC: 35Q53 37K10 35C08 35C07 35A01 35A02 PDFBibTeX XMLCite \textit{A. A. Himonas} and \textit{C. Holliman}, J. Nonlinear Sci. 32, No. 4, Paper No. 46, 29 p. (2022; Zbl 1489.35238) Full Text: DOI
Sun, Wen-Rong; Deconinck, Bernard Stability of elliptic solutions to the sinh-Gordon equation. (English) Zbl 1472.35040 J. Nonlinear Sci. 31, No. 4, Paper No. 63, 23 p. (2021). MSC: 35B35 35C07 35L71 37K45 33E05 PDFBibTeX XMLCite \textit{W.-R. Sun} and \textit{B. Deconinck}, J. Nonlinear Sci. 31, No. 4, Paper No. 63, 23 p. (2021; Zbl 1472.35040) Full Text: DOI arXiv
Lods, Bertrand; Nota, Alessia; Pezzotti, Federica A Kac model for kinetic annihilation. (English) Zbl 1441.82018 J. Nonlinear Sci. 30, No. 4, 1455-1501 (2020). MSC: 82C22 35Q20 35A01 35A02 35C06 82C40 PDFBibTeX XMLCite \textit{B. Lods} et al., J. Nonlinear Sci. 30, No. 4, 1455--1501 (2020; Zbl 1441.82018) Full Text: DOI arXiv
Ivanov, Rossen; Lyons, Tony; Orr, Nigel Camassa-Holm cuspons, solitons and their interactions via the dressing method. (English) Zbl 1436.37088 J. Nonlinear Sci. 30, No. 1, 225-260 (2020). MSC: 37K40 37K15 35C08 PDFBibTeX XMLCite \textit{R. Ivanov} et al., J. Nonlinear Sci. 30, No. 1, 225--260 (2020; Zbl 1436.37088) Full Text: DOI arXiv
Beck, Christian; E, Weinan; Jentzen, Arnulf Machine learning approximation algorithms for high-dimensional fully nonlinear partial differential equations and second-order backward stochastic differential equations. (English) Zbl 1442.91116 J. Nonlinear Sci. 29, No. 4, 1563-1619 (2019). MSC: 91G60 65M75 91G20 60H15 35Q91 PDFBibTeX XMLCite \textit{C. Beck} et al., J. Nonlinear Sci. 29, No. 4, 1563--1619 (2019; Zbl 1442.91116) Full Text: DOI arXiv
Guo, Zhengguang; Li, Xiuge; Yu, Chuang Some properties of solutions to the Camassa-Holm-type equation with higher-order nonlinearities. (English) Zbl 1402.37084 J. Nonlinear Sci. 28, No. 5, 1901-1914 (2018). MSC: 37K40 37L05 35Q53 35L05 PDFBibTeX XMLCite \textit{Z. Guo} et al., J. Nonlinear Sci. 28, No. 5, 1901--1914 (2018; Zbl 1402.37084) Full Text: DOI
Górski, Andrzej Z.; Szmigielski, Jacek Isospectral flows for the inhomogeneous string density problem. (English) Zbl 1409.34029 J. Nonlinear Sci. 28, No. 4, 1361-1377 (2018). Reviewer: Natalia Bondarenko (Saratov) MSC: 34B09 34B05 35Q70 PDFBibTeX XMLCite \textit{A. Z. Górski} and \textit{J. Szmigielski}, J. Nonlinear Sci. 28, No. 4, 1361--1377 (2018; Zbl 1409.34029) Full Text: DOI arXiv
Gomes, S. N.; Pavliotis, G. A. Mean field limits for interacting diffusions in a two-scale potential. (English) Zbl 1394.35494 J. Nonlinear Sci. 28, No. 3, 905-941 (2018). MSC: 35Q70 35Q83 35Q84 82B26 82B80 82C31 PDFBibTeX XMLCite \textit{S. N. Gomes} and \textit{G. A. Pavliotis}, J. Nonlinear Sci. 28, No. 3, 905--941 (2018; Zbl 1394.35494) Full Text: DOI arXiv
Schwarz, Martin jun. Commuting flows and infinite-dimensional tori: sine-Gordon. (English) Zbl 1386.35372 J. Nonlinear Sci. 27, No. 5, 1379-1398 (2017). Reviewer: Ahmed Lesfari (El Jadida) MSC: 35Q53 37K10 35R15 35B10 PDFBibTeX XMLCite \textit{M. Schwarz jun.}, J. Nonlinear Sci. 27, No. 5, 1379--1398 (2017; Zbl 1386.35372) Full Text: DOI
Newhall, Katherine A.; Vanden-Eijnden, Eric Metastability of the nonlinear wave equation: insights from transition state theory. (English) Zbl 1379.37017 J. Nonlinear Sci. 27, No. 3, 1007-1042 (2017). Reviewer: Martin Ondreját (Praha) MSC: 37A60 60H15 82B05 37H10 35R60 PDFBibTeX XMLCite \textit{K. A. Newhall} and \textit{E. Vanden-Eijnden}, J. Nonlinear Sci. 27, No. 3, 1007--1042 (2017; Zbl 1379.37017) Full Text: DOI arXiv
Alexandrou Himonas, A.; Grayshan, Katelyn; Holliman, Curtis Ill-posedness for the \(b\)-family of equations. (English) Zbl 1356.37079 J. Nonlinear Sci. 26, No. 5, 1175-1190 (2016). Reviewer: Bangti Jin (London) MSC: 37K10 37K40 47J06 65N20 PDFBibTeX XMLCite \textit{A. Alexandrou Himonas} et al., J. Nonlinear Sci. 26, No. 5, 1175--1190 (2016; Zbl 1356.37079) Full Text: DOI
Kang, Jing; Liu, Xiaochuan; Olver, Peter J.; Qu, Changzheng Liouville correspondence between the modified KdV hierarchy and its dual integrable hierarchy. (English) Zbl 1344.37075 J. Nonlinear Sci. 26, No. 1, 141-170 (2016). Reviewer: Ma Wen-Xiu (Tampa) MSC: 37K05 37K10 35Q53 PDFBibTeX XMLCite \textit{J. Kang} et al., J. Nonlinear Sci. 26, No. 1, 141--170 (2016; Zbl 1344.37075) Full Text: DOI
Birnir, Björn The Kolmogorov-Obukhov statistical theory of turbulence. (English) Zbl 1282.76112 J. Nonlinear Sci. 23, No. 4, 657-688 (2013). MSC: 76F55 76M35 60H15 35Q30 76D05 PDFBibTeX XMLCite \textit{B. Birnir}, J. Nonlinear Sci. 23, No. 4, 657--688 (2013; Zbl 1282.76112) Full Text: DOI
Geng, Xianguo; Wu, Lihua; He, Guoliang Quasi-periodic solutions of the Kaup-Kupershmidt hierarchy. (English) Zbl 1309.37070 J. Nonlinear Sci. 23, No. 4, 527-555 (2013). Reviewer: Miguel A. Alejo (Florianópolis) MSC: 37K40 37K20 14H42 PDFBibTeX XMLCite \textit{X. Geng} et al., J. Nonlinear Sci. 23, No. 4, 527--555 (2013; Zbl 1309.37070) Full Text: DOI
Chen, Robin Ming; Lenells, Jonatan; Liu, Yue Stability of the \(\mu \)-Camassa-Holm peakons. (English) Zbl 1258.35173 J. Nonlinear Sci. 23, No. 1, 97-112 (2013). MSC: 35Q51 35Q35 37K45 35C08 PDFBibTeX XMLCite \textit{R. M. Chen} et al., J. Nonlinear Sci. 23, No. 1, 97--112 (2013; Zbl 1258.35173) Full Text: DOI arXiv
Holzer, Matt; Doelman, Arjen; Kaper, Tasso J. Existence and stability of traveling pulses in a reaction-diffusion-mechanics system. (English) Zbl 1278.35045 J. Nonlinear Sci. 23, No. 1, 129-177 (2013). Reviewer: Jens Rademacher (Bremen) MSC: 35C07 35K57 74F25 74J30 35P15 35B35 PDFBibTeX XMLCite \textit{M. Holzer} et al., J. Nonlinear Sci. 23, No. 1, 129--177 (2013; Zbl 1278.35045) Full Text: DOI
Jiang, Zaihong; Ni, Lidiao; Zhou, Yong Wave breaking of the Camassa-Holm equation. (English) Zbl 1247.35104 J. Nonlinear Sci. 22, No. 2, 235-245 (2012). MSC: 35Q35 35B44 37K40 76B15 PDFBibTeX XMLCite \textit{Z. Jiang} et al., J. Nonlinear Sci. 22, No. 2, 235--245 (2012; Zbl 1247.35104) Full Text: DOI
Boily, P.; LeBlanc, V. G.; Matsui, E. Spiral anchoring in media with multiple inhomogeneities: a dynamical system approach. (English) Zbl 1133.34025 J. Nonlinear Sci. 17, No. 5, 399-427 (2007). Reviewer: Giuseppe Gaeta (Milano) MSC: 34C20 37G40 37L10 37N25 34C14 35K57 PDFBibTeX XMLCite \textit{P. Boily} et al., J. Nonlinear Sci. 17, No. 5, 399--427 (2007; Zbl 1133.34025) Full Text: DOI arXiv
Bobenko, A. I.; Kuksin, S. B. Small-amplitude solutions of the sine-Gordon equation on an interval under Dirichlet or Neumann boundary conditions. (English) Zbl 0839.35117 J. Nonlinear Sci. 5, No. 3, 207-232 (1995). MSC: 35Q53 35B10 PDFBibTeX XMLCite \textit{A. I. Bobenko} and \textit{S. B. Kuksin}, J. Nonlinear Sci. 5, No. 3, 207--232 (1995; Zbl 0839.35117) Full Text: DOI
Ercolani, N. M.; McLaughlin, D. W.; Roitner, H. Attractors and transients for a perturbed periodic KdV equation: A nonlinear spectral analysis. (English) Zbl 0797.35145 J. Nonlinear Sci. 3, No. 4, 477-539 (1993). MSC: 35Q53 37C70 58J50 37J40 PDFBibTeX XMLCite \textit{N. M. Ercolani} et al., J. Nonlinear Sci. 3, No. 4, 477--539 (1993; Zbl 0797.35145) Full Text: DOI