119 citations · 178 across the 7 of their papers we have counts for
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The complex Toda chains and the simple Lie algebras - solutions and large time asymptotics -- II
V. S. Gerdjikov, E. G. Evstatiev, R. I. Ivanov
We propose a compact and explicit expression for the solutions of the complex Toda chains related to the classical series of simple Lie algebras g. The solutions are parametrized b…
The Complex Toda Chains and the Simple Lie Algebras - Solutions and Large Time Asymptotics
V. S. Gerdjikov, E. G. Evstatiev, R. I. Ivanov
The asymptotic regimes of the N-site complex Toda chain (CTC) with fixed ends related to the classical series of simple Lie algebras are classified. It is shown that the CTC models…
Criterion and Regions of Stability for Quasi-Equidistant Soliton Trains
V. S. Gerdjikov, E. G. Evstatiev, D. J. Kaup +2
Using the complex Toda chain (CTC) as a model for the propagation of the N-soliton pulse trains of the nonlinear Schrodinger (NLS) equation, we predict the asymptotic behavior of t…