Kumar, Vikas; Wazwaz, Abdul-Majid Lie symmetry analysis and soliton solutions for complex short pulse equation. (English) Zbl 1502.78031 Waves Random Complex Media 32, No. 2, 968-979 (2022). MSC: 78A60 78A10 35C08 37K40 34A34 17B81 PDFBibTeX XMLCite \textit{V. Kumar} and \textit{A.-M. Wazwaz}, Waves Random Complex Media 32, No. 2, 968--979 (2022; Zbl 1502.78031) Full Text: DOI
Wang, Xiao-Li; Chen, Min-Ru; Mei, Jian-Qin; Yan, Zhao-Wen \(W_{1+\infty}3\)-algebra and the higher-order nonlinear Schrödinger equations in optical fiber. (English) Zbl 1508.37096 Commun. Nonlinear Sci. Numer. Simul. 65, 161-172 (2018). MSC: 37K30 17B80 35Q55 35Q60 78A60 PDFBibTeX XMLCite \textit{X.-L. Wang} et al., Commun. Nonlinear Sci. Numer. Simul. 65, 161--172 (2018; Zbl 1508.37096) Full Text: DOI
Abdelhamid, H. M.; Kawazura, Y.; Yoshida, Z. Hamiltonian formalism of extended magnetohydrodynamics. (English) Zbl 1345.70052 J. Phys. A, Math. Theor. 48, No. 23, Article ID 235502, 19 p. (2015). MSC: 70S05 76W05 78A25 17B81 37K05 PDFBibTeX XMLCite \textit{H. M. Abdelhamid} et al., J. Phys. A, Math. Theor. 48, No. 23, Article ID 235502, 19 p. (2015; Zbl 1345.70052) Full Text: DOI arXiv
Agrotis, Maria Hamiltonian flows for a reduced Maxwell-Bloch system with permanent dipole. (English) Zbl 1034.78007 Physica D 183, No. 1-2, 141-158 (2003). Reviewer: Aleksander Pankov (Vinnitsa) MSC: 78A25 37K10 17B81 37N20 78A60 PDFBibTeX XMLCite \textit{M. Agrotis}, Physica D 183, No. 1--2, 141--158 (2003; Zbl 1034.78007) Full Text: DOI
Gerdjikov, V. S.; Grahovski, G. G.; Kostov, N. A. Reductions of \(N\)-wave interactions related to low-rank simple Lie algebras. I: \(\mathbb Z_2\)-reductions. (English) Zbl 1001.37074 J. Phys. A, Math. Gen. 34, No. 44, 9425-9461 (2001). Reviewer: Mircea Puta (Timişoara) MSC: 37K30 17B20 35A30 78A60 81U40 PDFBibTeX XMLCite \textit{V. S. Gerdjikov} et al., J. Phys. A, Math. Gen. 34, No. 44, 9425--9461 (2001; Zbl 1001.37074) Full Text: DOI arXiv
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Cariñena, José F.; López, Carlos Group theoretical perturbative treatment of nonlinear Hamiltonians on the dual of a Lie algebra. (English) Zbl 0957.37058 Rep. Math. Phys. 43, No. 1-2, 43-51 (1999). Reviewer: Samir Musayev (Baku) MSC: 37J40 17B80 70H09 78A05 PDFBibTeX XMLCite \textit{J. F. Cariñena} and \textit{C. López}, Rep. Math. Phys. 43, No. 1--2, 43--51 (1999; Zbl 0957.37058) Full Text: DOI
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Healy, Liam M.; Dragt, Alex J. Concatenation of Lie algebraic maps. (English) Zbl 0980.17500 Wolf, Kurt Bernardo (ed.), Lie methods in optics. II. Proceedings of the 2nd workshop held in Cocoyoc, Mexico, July 19-22, 1988. Berlin: Springer. Lect. Notes Phys. 352, 67-95 (1989). MSC: 17B10 37J06 78A99 PDFBibTeX XMLCite \textit{L. M. Healy} and \textit{A. J. Dragt}, Lect. Notes Phys. 352, 67--95 (1989; Zbl 0980.17500) Full Text: DOI
Forest, Etienne; Berz, Martin Canonical integration and analysis of periodic maps using nonstandard analysis and Lie methods. (English) Zbl 0980.78504 Wolf, Kurt Bernardo (ed.), Lie methods in optics. II. Proceedings of the 2nd workshop held in Cocoyoc, Mexico, July 19-22, 1988. Berlin: Springer. Lect. Notes Phys. 352, 47-66 (1989). MSC: 78A35 03H10 17B65 22E70 37J06 PDFBibTeX XMLCite \textit{E. Forest} and \textit{M. Berz}, Lect. Notes Phys. 352, 47--66 (1989; Zbl 0980.78504) Full Text: DOI