Wang, Ying; Chen, Yujie; Dai, Jun; Zhao, Li; Wen, Wen; Wang, Wei Soliton evolution and associated sonic horizon formation dynamics in two-dimensional Bose-Einstein condensate with quintic-order nonlinearity. (English) Zbl 1467.82042 Chaos 31, No. 2, 023105, 7 p. (2021). MSC: 82C10 35Q41 35C08 35C06 37K40 83C57 PDFBibTeX XMLCite \textit{Y. Wang} et al., Chaos 31, No. 2, 023105, 7 p. (2021; Zbl 1467.82042) Full Text: DOI
Descalzi, Orazio; Brand, Helmut R. Dissipative soliton stabilization by several nonlinear gradient terms. (English) Zbl 1437.35645 Chaos 30, No. 4, 043119, 6 p. (2020). MSC: 35Q56 35C08 35B35 PDFBibTeX XMLCite \textit{O. Descalzi} and \textit{H. R. Brand}, Chaos 30, No. 4, 043119, 6 p. (2020; Zbl 1437.35645) Full Text: DOI
Deng, Guo; Biondini, Gino; Sen, Surajit Interactions of solitary waves in integrable and nonintegrable lattices. (English) Zbl 1450.37067 Chaos 30, No. 4, 043101, 7 p. (2020). Reviewer: Utkir A. Rozikov (Tashkent) MSC: 37K60 37K40 39A12 39A36 PDFBibTeX XMLCite \textit{G. Deng} et al., Chaos 30, No. 4, 043101, 7 p. (2020; Zbl 1450.37067) Full Text: DOI
Pace, Salvatore D.; Reiss, Kevin A.; Campbell, David K. The \( \beta \) Fermi-Pasta-Ulam-Tsingou recurrence problem. (English) Zbl 1432.37099 Chaos 29, No. 11, 113107, 14 p. (2019). MSC: 37K60 37D40 39A36 PDFBibTeX XMLCite \textit{S. D. Pace} et al., Chaos 29, No. 11, 113107, 14 p. (2019; Zbl 1432.37099) Full Text: DOI arXiv Link
Correa, R. A. C.; De Souza Dutra, A.; Frederico, T.; Malomed, Boris A.; Oliveira, O.; Sawado, N. Creating oscillons and oscillating kinks in two scalar field theories. (English) Zbl 1425.81072 Chaos 29, No. 10, 103124, 9 p. (2019). MSC: 81T10 34C15 PDFBibTeX XMLCite \textit{R. A. C. Correa} et al., Chaos 29, No. 10, 103124, 9 p. (2019; Zbl 1425.81072) Full Text: DOI arXiv
Pace, Salvatore D.; Campbell, David K. Behavior and breakdown of higher-order Fermi-Pasta-Ulam-Tsingou recurrences. (English) Zbl 1409.37079 Chaos 29, No. 2, 023132, 15 p. (2019). MSC: 37M05 37B20 PDFBibTeX XMLCite \textit{S. D. Pace} and \textit{D. K. Campbell}, Chaos 29, No. 2, 023132, 15 p. (2019; Zbl 1409.37079) Full Text: DOI arXiv Link
Xing, Qiuxia; Wang, Lihong; Mihalache, Dumitru; Porsezian, Kuppuswamy; He, Jingsong Construction of rational solutions of the real modified Korteweg-de Vries equation from its periodic solutions. (English) Zbl 1390.35313 Chaos 27, No. 5, 053102, 14 p. (2017). MSC: 35Q53 35C08 35B10 35P99 PDFBibTeX XMLCite \textit{Q. Xing} et al., Chaos 27, No. 5, 053102, 14 p. (2017; Zbl 1390.35313) Full Text: DOI arXiv
Khusnutdinova, K. R.; Tranter, M. R. On radiating solitary waves in bi-layers with delamination and coupled Ostrovsky equations. (English) Zbl 1390.35309 Chaos 27, No. 1, 013112, 14 p. (2017). MSC: 35Q53 35C08 PDFBibTeX XMLCite \textit{K. R. Khusnutdinova} and \textit{M. R. Tranter}, Chaos 27, No. 1, 013112, 14 p. (2017; Zbl 1390.35309) Full Text: DOI arXiv
Liu, Jian-Guo; Du, Jian-Qiang; Zeng, Zhi-Fang; Ai, Guo-Ping Exact periodic cross-kink wave solutions for the new \((2+1)\)-dimensional KdV equation in fluid flows and plasma physics. (English) Zbl 1378.35270 Chaos 26, No. 10, 103114, 5 p. (2016). MSC: 35Q53 82D10 PDFBibTeX XMLCite \textit{J.-G. Liu} et al., Chaos 26, No. 10, 103114, 5 p. (2016; Zbl 1378.35270) Full Text: DOI
Ecke, Robert E. Chaos, patterns, coherent structures, and turbulence: reflections on nonlinear science. (English) Zbl 1374.76086 Chaos 25, No. 9, 097605, 8 p. (2015). MSC: 76F20 PDFBibTeX XMLCite \textit{R. E. Ecke}, Chaos 25, No. 9, 097605, 8 p. (2015; Zbl 1374.76086) Full Text: DOI
Goodman, Roy H.; Rahman, Aminur; Bellanich, Michael J.; Morrison, Catherine N. A mechanical analog of the two-bounce resonance of solitary waves: modeling and experiment. (English) Zbl 1374.70015 Chaos 25, No. 4, 043109, 8 p. (2015). MSC: 70E18 37M05 PDFBibTeX XMLCite \textit{R. H. Goodman} et al., Chaos 25, No. 4, 043109, 8 p. (2015; Zbl 1374.70015) Full Text: DOI arXiv
Marvel, Seth A.; Mirollo, Renato E.; Strogatz, Steven H. Identical phase oscillators with global sinusoidal coupling evolve by Möbius group action. (English) Zbl 1311.34082 Chaos 19, No. 4, 043104, 11 p. (2009). MSC: 34C15 37D45 PDFBibTeX XMLCite \textit{S. A. Marvel} et al., Chaos 19, No. 4, 043104, 11 p. (2009; Zbl 1311.34082) Full Text: DOI arXiv
Goodman, Roy H. Chaotic scattering in solitary wave interactions: a singular iterated-map description. (English) Zbl 1307.35011 Chaos 18, No. 2, 023113, 18 p. (2008). MSC: 35A24 34C28 34C23 37D45 35C08 PDFBibTeX XMLCite \textit{R. H. Goodman}, Chaos 18, No. 2, 023113, 18 p. (2008; Zbl 1307.35011) Full Text: DOI arXiv
Vanag, Vladimir K.; Epstein, Irving R. Localized patterns in reaction-diffusion systems. (English) Zbl 1163.37381 Chaos 17, No. 3, 037110, 11 p. (2007). MSC: 37D45 PDFBibTeX XMLCite \textit{V. K. Vanag} and \textit{I. R. Epstein}, Chaos 17, No. 3, 037110, 11 p. (2007; Zbl 1163.37381) Full Text: DOI
Gorbach, A. V.; Denisov, S.; Flach, S. Energy flow of moving dissipative topological solitons. (English) Zbl 1146.37319 Chaos 16, No. 2, 023125, 10 p. (2006). MSC: 37D45 PDFBibTeX XMLCite \textit{A. V. Gorbach} et al., Chaos 16, No. 2, 023125, 10 p. (2006; Zbl 1146.37319) Full Text: DOI arXiv
Zabusky, Norman J.; Sun, Zhanyu; Peng, Gaozhu Measures of chaos and equipartition in integrable and nonintegrable lattices. (English) Zbl 1144.37422 Chaos 16, No. 1, 013130, 12 p. (2006). MSC: 37D45 PDFBibTeX XMLCite \textit{N. J. Zabusky} et al., Chaos 16, No. 1, 013130, 12 p. (2006; Zbl 1144.37422) Full Text: DOI
Porter, Mason A.; Carretero-González, R.; Kevrekidis, P. G.; Malomed, Boris A. Nonlinear lattice dynamics of Bose-Einstein condensates. (English) Zbl 1080.82016 Chaos 15, No. 1, 015115, 9 p. (2005). MSC: 82C10 37K60 PDFBibTeX XMLCite \textit{M. A. Porter} et al., Chaos 15, No. 1, 015115, 9 p. (2005; Zbl 1080.82016) Full Text: DOI arXiv
Ponno, A.; Bambusi, D. Korteweg-de Vries equation and energy sharing in Fermi-Pasta-Ulam. (English) Zbl 1080.37073 Chaos 15, No. 1, 015107, 5 p. (2005). MSC: 37K10 37K60 82B05 82B20 PDFBibTeX XMLCite \textit{A. Ponno} and \textit{D. Bambusi}, Chaos 15, No. 1, 015107, 5 p. (2005; Zbl 1080.37073) Full Text: DOI
Pettini, Marco; Casetti, Lapo; Cerruti-Sola, Monica; Franzosi, Roberto; Cohen, E. G. D. Weak and strong chaos in Fermi-Pasta-Ulam models and beyond. (English) Zbl 1080.82003 Chaos 15, No. 1, 015106, 13 p. (2005). MSC: 82B03 82B05 37D45 37N20 PDFBibTeX XMLCite \textit{M. Pettini} et al., Chaos 15, No. 1, 015106, 13 p. (2005; Zbl 1080.82003) Full Text: DOI arXiv
Carati, A.; Galgani, L.; Giorgilli, A. The Fermi-Pasta-Ulam problem as a challenge for the foundations of physics. (English) Zbl 1080.82002 Chaos 15, No. 1, 015105, 8 p. (2005). MSC: 82B03 37K60 PDFBibTeX XMLCite \textit{A. Carati} et al., Chaos 15, No. 1, 015105, 8 p. (2005; Zbl 1080.82002) Full Text: DOI
Berman, G. P.; Izrailev, F. M. The Fermi-Pasta-Ulam problem: fifty years of progress. (English) Zbl 1080.37077 Chaos 15, No. 1, 015104, 18 p. (2005). MSC: 37K60 82B03 PDFBibTeX XMLCite \textit{G. P. Berman} and \textit{F. M. Izrailev}, Chaos 15, No. 1, 015104, 18 p. (2005; Zbl 1080.37077) Full Text: DOI arXiv
Zabusky, Norman J. Fermi-Pasta-Ulam, solitons and the fabric of nonlinear and computational science: history, synergetics, and visiometrics. (English) Zbl 1080.37001 Chaos 15, No. 1, 015102, 16 p. (2005). MSC: 37-03 37K60 37M05 82-03 PDFBibTeX XMLCite \textit{N. J. Zabusky}, Chaos 15, No. 1, 015102, 16 p. (2005; Zbl 1080.37001) Full Text: DOI
Riyopoulos, S. Equilibrium bifurcations and chaotic transitions in coupled microlaser lattices. (English) Zbl 1080.37099 Chaos 14, No. 4, 1105-1122 (2004). MSC: 37N20 82D37 PDFBibTeX XMLCite \textit{S. Riyopoulos}, Chaos 14, No. 4, 1105--1122 (2004; Zbl 1080.37099) Full Text: DOI
Ablowitz, Mark J. (ed.); Biondini, Gino (ed.); Ostrovsky, L. A. (ed.) Optical solitons: perspectives and applications. (English) Zbl 0972.00024 Chaos 10, No. 3, 471-640 (2000). MSC: 00B15 78-06 78A60 PDFBibTeX XMLCite \textit{M. J. Ablowitz} (ed.) et al., Chaos 10, No. 3, 471--640 (2000; Zbl 0972.00024) Full Text: DOI
Ablowitz, Mark J.; Biondini, Gino; Ostrovsky, Lev A. Optical solitons: perspectives and applications. (English) Zbl 0971.78015 Chaos 10, No. 3, 471-474 (2000). MSC: 78A60 35Q51 37K40 PDFBibTeX XMLCite \textit{M. J. Ablowitz} et al., Chaos 10, No. 3, 471--474 (2000; Zbl 0971.78015) Full Text: DOI
Hasegawa, Akira An historical review of application of optical solitons for high speed communications. (English) Zbl 0971.78007 Chaos 10, No. 3, 475-485 (2000). MSC: 78A60 78-03 PDFBibTeX XMLCite \textit{A. Hasegawa}, Chaos 10, No. 3, 475--485 (2000; Zbl 0971.78007) Full Text: DOI Link