Abstract
An effective difference method is proposed for finding of eigenvalues and eigenfunctions of a nonlinear Shrödinger equation (NLSE) with a cubic nonlinearity, describing the light beam propagation in an optical fiber. The methodical recommendations are given for the NLSE eigenfunctions construction depending on the nonlinearity coefficient and the transverse size of a waveguide.
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Trofimov, V.A., Varentsova, S.A. (2005). Computational Method for Finding of Soliton Solutions of a Nonlinear Shrödinger Equation. In: Li, Z., Vulkov, L., Waśniewski, J. (eds) Numerical Analysis and Its Applications. NAA 2004. Lecture Notes in Computer Science, vol 3401. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-31852-1_67
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DOI: https://doi.org/10.1007/978-3-540-31852-1_67
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-24937-5
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