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

%% Papers Published   
@article{fds25921,
   Author = {A. V. Kitaev and A. H. Vartanian},
   Title = {Connection Formulae for Asymptotics of Solutions of the
             Degenerate Third Painlev\'{e} Equation. I},
   Journal = {Inverse Problems},
   Volume = {20},
   Number = {4},
   Pages = {1165--1206},
   Year = {2004},
   Key = {fds25921}
}

@article{fds15328,
   Author = {A. H. Vartanian},
   Title = {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},
   Series = {Contemporary Mathematics, Vol. 326, pp. 91--185},
   Booktitle = {Recent Developments in Integrable Systems and
             Riemann-Hilbert Problems},
   Publisher = {American Mathematical Society},
   Editor = {K. D. T.-R. McLaughlin and X. Zhou},
   Year = {2003},
   Key = {fds15328}
}

@article{fds15330,
   Author = {M. Kovalyov and A. H. Vartanian},
   Title = {On Long-Distance Intensity Asymptotics of Solutions to the
             Cauchy Problem for the Modified Nonlinear Schr\"{o}dinger
             Equation for Vanishing Initial Data},
   Series = {Contemporary Mathematics, Vol. 326, pp. 49--57},
   Booktitle = {Recent Developments in Integrable Systems and
             Riemann-Hilbert Problems},
   Publisher = {American Mathematical Society},
   Editor = {K. D. T.-R. McLaughlin and X. Zhou},
   Year = {2003},
   Key = {fds15330}
}

@article{fds15331,
   Author = {A. H. Vartanian},
   Title = {Exponentially Small Asymptotics of Solutions to the
             Defocusing Nonlinear Schr\"{o}dinger Equation},
   Journal = {Appl. Math. Lett.},
   Volume = {16},
   Number = {3},
   Pages = {425--434},
   Year = {2003},
   Key = {fds15331}
}

@article{fds15327,
   Author = {A. H. Vartanian},
   Title = {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},
   Journal = {Math. Phys. Anal. Geom.},
   Volume = {5},
   Number = {4},
   Pages = {319--413},
   Year = {2002},
   Key = {fds15327}
}

@article{fds10164,
   Author = {A. H. Vartanian},
   Title = {Exponentially Small Asymptotics of Solutions to the
             Defocusing Non-Linear Schrodinger Equation.
             II},
   Journal = {J. Phys. A: Math. Gen., Vol. 34 (2001), pp.
             L647--L655},
   Key = {fds10164}
}


%% Preprints   
@article{fds15335,
   Author = {K. T.-R. McLaughlin and A. H. Vartanian and X.
             Zhou},
   Title = {Asymptotics of Coefficients of Recurrence Relations, Hankel
             Determinants Ratios, and Root Products Associated with
             Orthogonal Laurent Polynomials with Respect to Varying
             Exponential Weights},
   Year = {2005},
   Key = {fds15335}
}

@article{fds28875,
   Author = {K. T.-R. McLaughlin and A. H. Vartanian and X.
             Zhou},
   Title = {Variational Problems Associated with the Asymptotic Study of
             Orthogonal Rational Functions: The Riemann-Hilbert Problem
             Approach},
   Year = {2005},
   Key = {fds28875}
}

@article{fds15333,
   Author = {K. T.-R. McLaughlin and A. H. Vartanian and X.
             Zhou},
   Title = {Asymptotics of Orthogonal Laurent Polynomials of Even Degree
             with Respect to Varying Exponential Weights},
   Year = {2005},
   Key = {fds15333}
}

@article{fds15334,
   Author = {K. T.-R. McLaughlin and A. H. Vartanian and X.
             Zhou},
   Title = {Asymptotics of Orthogonal Laurent Polynomials of Odd Degree
             with Respect to Varying Exponential Weights},
   Year = {2005},
   Key = {fds15334}
}