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

Gerdjikov, Vladimir S.; Kostov, Nikolay A.

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

Keywords:

inverse scattering; nonlinear Schrödinger equation; Lax operator; Zakharov-Shabat operator; Cartan-Weyl basis

Citations:

Zbl 1203.37115