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Publications of Arthur H. Vartanian    :chronological  alphabetical  combined  bibtex listing:

Papers Published

  1. 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
  2. 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
  3. 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
  4. 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
  5. 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
  6. 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

  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)

 

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Mathematics Department
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