Math @ Duke

Papers Published
 A. V. Kitaev and A. H. Vartanian, Connection Formulae for Asymptotics of Solutions of the Degenerate Third Painlev\'{e} Equation. I,
Inverse Problems, vol. 20 no. 4
(2004),
pp. 11651206
 A. H. Vartanian, LongTime Asymptotics of Solutions to the Cauchy Problem for the Defocusing NonLinear Schr\"{o}dinger Equation with FiniteDensity Initial Data. I. Solitonless Sector,
in Recent Developments in Integrable Systems and RiemannHilbert Problems, Contemporary Mathematics, Vol. 326, pp. 91185, edited by K. D. T.R. McLaughlin and X. Zhou
(2003), American Mathematical Society
 M. Kovalyov and A. H. Vartanian, On LongDistance Intensity Asymptotics of Solutions to the Cauchy Problem for the Modified Nonlinear Schr\"{o}dinger Equation for Vanishing Initial Data,
in Recent Developments in Integrable Systems and RiemannHilbert Problems, Contemporary Mathematics, Vol. 326, pp. 4957, edited by K. D. T.R. McLaughlin and X. Zhou
(2003), American Mathematical Society
 A. H. Vartanian, Exponentially Small Asymptotics of Solutions to the Defocusing Nonlinear Schr\"{o}dinger Equation,
Appl. Math. Lett., vol. 16 no. 3
(2003),
pp. 425434
 A. H. Vartanian, LongTime Asymptotics of Solutions to the Cauchy Problem for the Defocusing NonLinear Schr\"{o}dinger Equation with FiniteDensity Initial Data. II. Dark Solitons on Continua,
Math. Phys. Anal. Geom., vol. 5 no. 4
(2002),
pp. 319413
 A. H. Vartanian, Exponentially Small Asymptotics of Solutions to the Defocusing NonLinear Schrodinger Equation. II,
J. Phys. A: Math. Gen., Vol. 34 (2001), pp. L647L655
Preprints
 K. T.R. McLaughlin, A. H. Vartanian, and X. Zhou, Asymptotics of Coefficients of Recurrence Relations, Hankel Determinants Ratios, and Root Products Associated with Orthogonal Laurent Polynomials with Respect to Varying Exponential Weights
(2005)
 K. T.R. McLaughlin, A. H. Vartanian, and X. Zhou, Variational Problems Associated with the Asymptotic Study of Orthogonal Rational Functions: The RiemannHilbert Problem Approach
(2005)
 K. T.R. McLaughlin, A. H. Vartanian, and X. Zhou, Asymptotics of Orthogonal Laurent Polynomials of Even Degree with Respect to Varying Exponential Weights
(2005)
 K. T.R. McLaughlin, A. H. Vartanian, and X. Zhou, Asymptotics of Orthogonal Laurent Polynomials of Odd Degree with Respect to Varying Exponential Weights
(2005)


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