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Showing 1 to 4 of 4 for “"Manakov"”.
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On the Eigenvalues of the Manakov System
… issues regarding the eigenvalue problem for the Manakov system; these problems relate directly to the existence of the soliton [sic] effect in fiber optic cables. The first issue is a bound on the eigenvalues of the Manakov system: if the parameter ξ is an eigenvalue, then it must lie in a …
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Numerically optimized implementations, mitigation and simulations of polarisation mode dispersion in real-time transmission systems
… phenomenon as well as a method derived from the Manakov-PMD equation are implemented and investigated separately through the distribution of a state of polarisation on the Poincaré sphere, and the evolution of the dispersion of a signal. Next these two methods are statistically examined and …
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On Multi-component Nonlinear Schrödinger Equation with PT-Symmetry
… the operator L(λ). As main examples, we use the Manakov vector Schrödinger equation (related to A.III-symmetric spaces) and the multi-component nonlinear Schrödinger equations of Kulish-Sklyanin type (related to BD.I-symmetric spaces). Furthermore, the one- and two-soliton solutions, subject to …
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On the discrete nonlinear Schrödinger equation with PT-Symmetry
… systems of multi-component generalisation of the Manakov model. We are interested in conditions distinguishing blow up and not blow up solutions. From considering single and double excitations as initial conditions, we conjecture the following: 1) if the Lax operator has no spectrum outside nor …