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  • 1
    Electronic Resource
    Electronic Resource
    A direct theory for the perturbed unstable nonlinear Schrödinger equation (2000)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 41 (2000), S. 2931-2942 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: A direct perturbation theory for the unstable nonlinear Schrödinger equation with perturbations is developed. The linearized operator is derived and the squared Jost functions are shown to be its eigenfunctions. Then the equation of linearized operator is transformed into an equivalent 4×4 matrix form with first order derivative in t and the eigenfunctions into a four-component row. Adjoint functions and the inner product are defined. Orthogonality relations of these functions are derived and the expansion of the unity in terms of the four-component eigenfunctions is implied. The effect of damping is discussed as an example. © 2000 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.533281
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  • 2
    Electronic Resource
    Electronic Resource
    Approximate solution of optical soliton in lossless fibres with third-order dispersion (1989)
    Springer
    Optical and quantum electronics 21 (1989), S. 335-341 
    Details
    ISSN: 1572-817X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Electrical Engineering, Measurement and Control Technology , Physics
    Notes: Abstract A near zero-dispersion regime, fundamental soliton with third-order dispersion is considered. There are three different waves radiated from the soliton. We find a threshold condition for the radiated waves. Below the threshold condition a stable soliton exists; an approximate soliton solution is obtained.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02027304
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  • 3
    Electronic Resource
    Electronic Resource
    Derivation of a wave equation for pulse propagation beyond a slowly varying envelope approximation (1996)
    Springer
    Optical and quantum electronics 28 (1996), S. 1351-1357 
    Details
    ISSN: 1572-817X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Electrical Engineering, Measurement and Control Technology , Physics
    Notes: Abstract An iterative method is used to derive an accurate weve equation that governs ultrashort pulse propagation in a single mode fibre. In the derivation, the slowly varying evelope approximation (SVEA) is not required. Therefore, the wave equation can be used to describe the propagation of an ultrashort pulse of a few optical cycles. It is found that, compared with the wave equation obtained by making an SVEA, an accurate wave equation has the same coefficients of the linear dispersion terms and different coefficients of the high-order time derivatives of the non-linear terms.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00326208
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    Paper (German National Licenses)
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