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solv-int1999★ 81 cited
Quasi-Periodic and Periodic Solutions for Systems of Coupled Nonlinear SCHRÖdinger Equations
P. L. Christiansen, J. C. Eilbeck, V. Z. Enolskii +1
We consider travelling periodic and quasiperiodic wave solutions of a set of coupled nonlinear Schrödimger equations. In fibre optics these equations can be used to model single mo…
solv-int1999★ 3 cited
Korteweg-de Vries hierarchy and related completely integrable systems: I. Algebro-geometrical approach
N. A. Kostov
We consider complementary dynamical systems related to stationary Korteweg-de Vries hierarchy of equations. A general approach for finding elliptic solutions is given. The solution…
solv-int1999★ 1 cited
Nonlinear waves, differential resultant, computer algebra and completely integrable dynamical systems
N. A. Kostov, Z. T. Kostova
The hierarchy of integrable equations are considered. The dynamical approach to the theory of nonlinear waves is proposed. The special solutions(nonlinear waves) of considered equa…