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asymptotics of the scattering coefficients for a generalized Schrodinger equation
(AIP Publishing, 1999-08)
The generalized Schrodinger equation d(2)psi/dx(2) + F(k)psi=[ikP(x) + Q(x)]psi is considered, where P and Q are integrable potentials with finite first moments and F satisfies certain conditions. The behavior of the ...
why do soliton equations come in hierarchies
(AIP Publishing, 1993-09)
In this article, an identity satisfied by the so-called recursion operator is derived. The identity generates by itself an infinite sequence of Lax pairs, thus ensuring the complete integrability of the corresponding ...
wave scattering in one dimension with absorption
(AIP Publishing, 1998-04)
Wave scattering is analyzed in a one-dimensional nonconservative medium governed by the generalized Schrodinger equation d(2) psi/dx(2)+k(2) psi=[ikP(x)+Q(x)]psi, where P(x) and Q(x) are real, integrable potentials with ...