This article is cited in 10 papers

Numerical realization of the inverse scattering method

I. T. Habibullin, A. G. Shagalov


Abstract: A method of solving the Cauchy problem for integrable equations that is specially suited to the application of numerical methods is proposed. The dynamics of singular solutions in a differential-difference analog of the nonlinear Schrödinger equation is investigated in detail.

Received: 03.05.1989

 English version: Theoretical and Mathematical Physics, 1990, 83:3, 565–573

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