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Now showing items 21-30 of 34

#### Inverse scattering on the line for a Dirac system

(AIP Publishing, 1991-11)

The whole-line version of the Gelfand-Levitan-Marchenko (GLM) equation for a Dirac system is studied. A new derivation of the GLM equation is given, under weaker hypotheses than Frolov's earlier treatment [Sov. Math. Dok1. ...

#### 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 ...

#### inverse scattering in 1-D nonhomogeneous media and recovery of the wave speed

(AIP Publishing, 1992-04)

The inverse scattering problem for the 1-D Schrodinger equation d2-psi/dx2 + k2-psi = k2P(x)psi + Q(x)psi is studied. This equation is equivalent to the 1-D wave equation with speed 1/ square-root 1 - P(x) in a nonhomogeneous ...

#### Computational simulation of type-II superconductivity including pinning phenomena

(American Physical Society, 1995-06-15)

A flexible tool, based on the finite-element method, for the computational simulation of vortex phenomena in type-II superconductors has been developed. These simulations use refined or newly developed phenomenological ...

#### linear stability analysis of salt fingers with surface evaporation or warming

(AIP Publishing, 1996-11)

Oceanic observations [Atmos. Ocean 29, 340 (1991)] have revealed small-scale thermohaline plumes near the surface of a calm sea under warming conditions. The stratification was favorable for the double-diffusive salt finger ...

#### internal capillary-gravity waves of a two-layer fluid with free surface over an obstruction - Forced extended KdV equation

(AIP Publishing, 1996-02)

In this paper we study steady capillary-gravity waves in a two-layer fluid bounded above by a free surface and below by a horizontal rigid boundary with a small obstruction. Two critical speeds for the waves are obtained. ...

#### 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 ...

#### asymptotic-behavior of Jost functions near resonance points for Wigner-Vonneumann type potentials

(AIP Publishing, 1991-01)

In this work are considered radial Schrodinger operators - psi" + V(r)-psi = E-psi, where V(r) = a sin br/r + W(r) with W(r) bounded, W(r) = O(r-2) at infinity (a,b real). The asymptotic behavior of the Jost function and ...

#### Cauchy-problem for the linearized version of the Generalized Polynomial KdV equation

(AIP Publishing, 1992-06)

In the present paper results about the "Generalized Polynomial Korteweg-de Vries equation" (GPKdV) are obtained, extending the ones by Sachs [SIAM J. Math. Anal. 14, 674 (1983)] for the Korteweg-de Vries (KdV) equation. ...

#### on the Levinson theorem for Dirac operators

(AIP Publishing, 1990-01)

For the Dirac equation with potential V(r) obeying ∫∞ 0(1+r)‖V(r)‖d r<∞ we prove a relativistic version of Levinson’s theorem that relates the number of bound states in the spectral gap [−m,m] to the variation of an ...