Publications of Arthur H. Vartanian    :chronological  alphabetical  by type  bibtex listing:

1. 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)
2. 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)
3. 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)
4. 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)
5. 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
6. 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
7. 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
8. 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
9. 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
10. 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