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- Manakov_system abstract "Maxwell's Equations, when converted to cylindrical coordinates, and with the boundary conditions for an optical fiber while including birefringence as an effect taken into account, will yield the coupled nonlinear Schrödinger equations. After employing the Inverse scattering transform (a procedure analogous to the Fourier Transform and Laplace Transform) on the resulting equations, the Manakov system is then obtained. The most general form of the Manakov system is as follows:It is a coupled system of linear ordinary differential equations. The functions represent the envelope of the electromagnetic field as an initial condition.For theoretical purposes, the integral equation version is often very useful. It is as follows:One may make further substitutions and simplifications, depending on the limits used and the assumptions about boundary or initial conditions. One important concept is that is complex; assumptions must be made about this eigenvalue parameter. If a non-zero solution is desired, the imaginary part of the eigenvalue cannot change sign; accordingly, most researchers take the imaginary part to be positive.".
- Manakov_system wikiPageID "3743347".
- Manakov_system wikiPageRevisionID "390880772".
- Manakov_system hasPhotoCollection Manakov_system.
- Manakov_system subject Category:Fiber_optics.
- Manakov_system subject Category:Ordinary_differential_equations.
- Manakov_system type Abstraction100002137.
- Manakov_system type Communication100033020.
- Manakov_system type DifferentialEquation106670521.
- Manakov_system type Equation106669864.
- Manakov_system type MathematicalStatement106732169.
- Manakov_system type Message106598915.
- Manakov_system type OrdinaryDifferentialEquations.
- Manakov_system type Statement106722453.
- Manakov_system comment "Maxwell's Equations, when converted to cylindrical coordinates, and with the boundary conditions for an optical fiber while including birefringence as an effect taken into account, will yield the coupled nonlinear Schrödinger equations. After employing the Inverse scattering transform (a procedure analogous to the Fourier Transform and Laplace Transform) on the resulting equations, the Manakov system is then obtained.".
- Manakov_system label "Manakov system".
- Manakov_system sameAs m.09ylzv.
- Manakov_system sameAs Q17103492.
- Manakov_system sameAs Q17103492.
- Manakov_system sameAs Manakov_system.
- Manakov_system wasDerivedFrom Manakov_system?oldid=390880772.
- Manakov_system isPrimaryTopicOf Manakov_system.