Perturbed complex Toda chain and soliton interactions in nonlinear optics. (English) Zbl 0985.37083

Gerdjikov, Vladimir; Uzunov, Ivan

Mladenov, I. M. (ed.) et al., Proceedings of the international conference on geometry, integrability and quantization, Varna, Bulgaria, September 1-10, 1999. Sofia: Coral Press Scientific Publishing. 79-93 (2000).

The paper deals with some models arising from nonlinear fiber optics which are described by perturbed nonlinear Schrödinger equations. Special emphasis is on the behavior of the so-called \(N\)-solitons trains, that is solutions of the corresponding perturbed Schrödinger equation satisfying specific initial conditions.
For the entire collection see [Zbl 0940.00039].

Reviewer: Radu Precup (Cluj-Napoca)

MSC:

37K40	Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems
35Q51	Soliton equations
78A60	Lasers, masers, optical bistability, nonlinear optics

Keywords:

nonlinear fiber optics; perturbed nonlinear Schrödinger equations; \(N\)-solitons trains