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Ustinov, N. V. (2019) Integrable generalizations of the sine-Gordon, short pulse, and reduced Maxwell–Bloch equations. Journal of Mathematical Physics, 60. 13503pp. doi:10.1063/1.5034223

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Reference TypeJournal (article/letter/editorial)
TitleIntegrable generalizations of the sine-Gordon, short pulse, and reduced Maxwell–Bloch equations
JournalJournal of Mathematical Physics
AuthorsUstinov, N. V.Author
Year2019 (January)Volume60
PublisherAIP Publishing
DOIdoi:10.1063/1.5034223Search in ResearchGate
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Mindat Ref. ID5772080Long-form Identifiermindat:1:5:5772080:1
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Full ReferenceUstinov, N. V. (2019) Integrable generalizations of the sine-Gordon, short pulse, and reduced Maxwell–Bloch equations. Journal of Mathematical Physics, 60. 13503pp. doi:10.1063/1.5034223
Plain TextUstinov, N. V. (2019) Integrable generalizations of the sine-Gordon, short pulse, and reduced Maxwell–Bloch equations. Journal of Mathematical Physics, 60. 13503pp. doi:10.1063/1.5034223
In(n.d.) Journal of Mathematical Physics Vol. 60. AIP Publishing

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Sazonov, S. V., Ustinov, N. V. (2019) Few-cycle solitons of an integrable generalization of the reduced Maxwell-Bloch equations. Physical Review A, 100 (5). doi:10.1103/physreva.100.053807
Babujian, H. M., Kitaev, A. V. (1998) Generalized Knizhnik–Zamolodchikov equations and isomonodromy quantization of the equations integrable via the Inverse Scattering Transform: Maxwell–Bloch system with pumping. Journal of Mathematical Physics, 39. 2499-2506 doi:10.1063/1.532404
Cieśliński, Jan L., Czachor, Marek, Ustinov, Nikolai V. (2003) Darboux covariant equations of von Neumann type and their generalizations. Journal of Mathematical Physics, 44. 1763-1780 doi:10.1063/1.1554762
Yao, Yuqin, Huang, Yehui, Dong, Guixiang, Zeng, Yunbo (2011) The new integrable deformations of a short pulse equation and sine-Gordon equation, and their solutions. Journal of Physics A: Mathematical and Theoretical, 44. 65201pp. doi:10.1088/1751-8113/44/6/065201
Sazonov, S. V., Ustinov, N. V. (2018) Propagation of few-cycle pulses in a nonlinear medium and an integrable generalization of the sine-Gordon equation. Physical Review A, 98 (6). doi:10.1103/physreva.98.063803
Aiyer, R N (1983) Hamiltonian and recursion operator for the reduced Maxwell-Bloch equations. Journal of Physics A: Mathematical and General, 16. 1809-1811 doi:10.1088/0305-4470/16/8/021
Cen, Julia, Correa, Francisco, Fring, Andreas (2019) Integrable nonlocal Hirota equations. Journal of Mathematical Physics, 60. 81508pp. doi:10.1063/1.5013154
Kassotakis, P., Nieszporski, M., Papageorgiou, V., Tongas, A. (2019) Tetrahedron maps and symmetries of three dimensional integrable discrete equations. Journal of Mathematical Physics, 60. 123503pp. doi:10.1063/1.5124874
Weiss, John (1984) The sine‐Gordon equations: Complete and partial integrability. Journal of Mathematical Physics, 25. 2226-2235 doi:10.1063/1.526415
Goldstein, P.P. (1987) Testing the Painlevé property of the Maxwell-Bloch and reduced Maxwell-Bloch equations. Physics Letters A, 121. 11-14 doi:10.1016/0375-9601(87)90596-2
Lenells, J., Fokas, A. S. (2010) On a novel integrable generalization of the sine-Gordon equation. Journal of Mathematical Physics, 51. 23519pp. doi:10.1063/1.3272086
 
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