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. 1165--1206
- A. H. Vartanian, Long-Time Asymptotics of Solutions to the Cauchy Problem for the Defocusing Non-Linear Schr\"{o}dinger Equation with Finite-Density Initial Data. I. Solitonless Sector,
in Recent Developments in Integrable Systems and Riemann-Hilbert Problems, Contemporary Mathematics, Vol. 326, pp. 91--185, edited by K. D. T.-R. McLaughlin and X. Zhou
(2003), American Mathematical Society
- M. Kovalyov and A. H. Vartanian, On Long-Distance 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 Riemann-Hilbert Problems, Contemporary Mathematics, Vol. 326, pp. 49--57, 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. 425--434
- A. H. Vartanian, Long-Time Asymptotics of Solutions to the Cauchy Problem for the Defocusing Non-Linear Schr\"{o}dinger Equation with Finite-Density Initial Data. II. Dark Solitons on Continua,
Math. Phys. Anal. Geom., vol. 5 no. 4
(2002),
pp. 319--413
- A. H. Vartanian, Exponentially Small Asymptotics of Solutions to the Defocusing Non-Linear Schrodinger Equation. II,
J. Phys. A: Math. Gen., Vol. 34 (2001), pp. L647--L655
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 Riemann-Hilbert 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)
|
|
dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821
| |
Mathematics Department
Duke University, Box 90320
Durham, NC 27708-0320
|
|