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Multi-component nonlinear Schrödinger equation on symmetric spaces with constant boundary conditions. I. (English) Zbl 1382.37074

Mladenov, Ivaïlo M. (ed.) et al., Proceedings of the 11th international conference on geometry, integrability and quantization, Sts. Constantine and Elena (near Varna), Bulgaria, June 5–10, 2009. Sofia: Bulgarian Academy of Sciences (ISBN 978-954-323-714-2/pbk). Geometry, Integrability and Quantization, 42-67 (2010).
See [V. S. Gerdjikov and N. A. Kostov, J. Geom. Symmetry Phys. 19, 1–28 (2010; Zbl 1203.37115)].
For the entire collection see [Zbl 1202.53001].

MSC:

37K15 Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems
37K35 Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems
35Q55 NLS equations (nonlinear Schrödinger equations)
35P25 Scattering theory for PDEs
42A38 Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type

Citations:

Zbl 1203.37115
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