K Nakkeeran 2002 Nonlinearity 15 1747 doi:10.1088/0951-7715/15/6/302
K Nakkeeran
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We consider integrable equations, which govern the dynamics of nonlinear wave propagation in optical fibres or two-level resonant optical media. For such integrable equations, which possess a linear eigenvalue problem with variable spectral parameter, we show that the Bäcklund transformation is one of the easiest methods to generate the exact one soliton solution.
42.81.Dp Propagation, scattering, and losses; solitons
15A18 Eigenvalues, singular values, and eigenvectors
35Q51 Solitons (See also 37K40)
37K35 Lie-Bäcklund and other transformations
35Q55 NLS-like (nonlinear Schrödinger) equations (See also 37K10)
Issue 6 (November 2002)
Received 30 January 2002
Published 9 September 2002
K Nakkeeran 2002 Nonlinearity 15 1747
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