The Gross–Pitaevskii equation: Bäcklund transformations and admitted solutions
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,General Mathematics
Link
http://link.springer.com/content/pdf/10.1007/s11587-018-0422-8.pdf
Reference30 articles.
1. Borovkova, O., Lobanov, V.E., Malomed, B.A.: Solitons supported by singular spatial modulation of the Kerr nonlinearity. Phys. Rev. A 85, 023845 (2012). https://doi.org/10.1103/PhysRevA.85.023845
2. Carillo, S.: A novel Bäcklund invariance of a nonlinear differential equation. J. Math. Anal. Appl. 252(2), 828–839 (2000). https://doi.org/10.1006/jmaa.2000.7126
3. Carillo, S., Lo Schiavo, M., Schiebold, C.: Bäcklund transformations and non Abelian nonlinear evolution equations: a novel Bäcklund chart. Symmetry Integrability Geom. Methods Appl. (SIGMA) 12, 087 (2016). https://doi.org/10.3842/SIGMA.2016.087 . (17 pages)
4. Carillo, S., Lo Schiavo, M., Porten, E., Schiebold, C.: A novel noncommutative KdV-type equation, its recursion operator, and solitons. J. Math. Phys. 59(3), 3053–3060 (2018). https://doi.org/10.1063/1.5027481
5. Carillo, S., Zullo, F.: Ermakov-Pinney and Emden-Fowler equations: new solutions from novel Bäcklund transformations. Theor. Math. Phys. 196(3), 1268–1281 (2018)
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1. Schwarzian derivative, Painlevé XXV–Ermakov equation, and Bäcklund transformations;Mathematische Nachrichten;2023-06-15
2. On modulated multi-component NLS systems: Ermakov invariants and integrable symmetry reduction;Ricerche di Matematica;2018-12-17
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