Abstract
This is a review on the matrix generalization of the inverse scattering method. First, the inverse scattering problem for n × n Schrödinger equation is discussed. Second, the inverse scattering method is extended into n × n matrix form. Nonlinear evolution equations which are solvable by the extension are presented. In addition, it is pointed out that the same generalization is possible for discrete cases (lattice problems).
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Wadati, M. (1980). Generalized Matrix Form of the Inverse Scattering Method. In: Bullough, R.K., Caudrey, P.J. (eds) Solitons. Topics in Current Physics, vol 17. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-81448-8_8
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DOI: https://doi.org/10.1007/978-3-642-81448-8_8
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