Hyperelliptic Theta-Functions and Spectral Methods: KdV and KP Solutions

[1]  P. Hacking,et al.  Riemann Surfaces , 2007 .

[2]  C. Klein,et al.  Hyperelliptic theta-functions and spectral methods , 2004, nlin/0512065.

[3]  Bernard Deconinck,et al.  Computing Riemann theta functions , 2002, Math. Comput..

[4]  Charles F. Miller,et al.  Combinatorial Group Theory , 2002 .

[5]  Bernard Deconinck,et al.  Computing Riemann matrices of algebraic curves , 2001 .

[6]  C. Klein,et al.  Exact Relativistic Gravitational Field of a Stationary Counterrotating Dust Disk , 1999, gr-qc/9908042.

[7]  Mika Seppälä,et al.  Riemann Surfaces, Plane Algebraic Curves and Their Period Matrices , 1998, Journal of symbolic computation.

[8]  Boris Dubrovin,et al.  Three‐Phase Solutions of the Kadomtsev–Petviashvili Equation , 1997 .

[9]  Bengt Fornberg,et al.  A practical guide to pseudospectral methods: Introduction , 1996 .

[10]  Mika Seppälä,et al.  Computation of period matrices of real algebraic curves , 1994, Discret. Comput. Geom..

[11]  Mark van Hoeij,et al.  An Algorithm for Computing an Integral Basis in an Algebraic Function Field , 1994, J. Symb. Comput..

[12]  E. Belokolos,et al.  Algebro-geometric approach to nonlinear integrable equations , 1994 .

[13]  Ljudmila A. Bordag,et al.  Periodic multiphase solutions of the Kadomtsev-Petviashvili equation , 1989 .

[14]  D. Korotkin.  Finite-gap solutions of the stationary axisymmetric Einstein equation in vacuum , 1988 .

[15]  William L. Briggs,et al.  The DFT : An Owner's Manual for the Discrete Fourier Transform , 1987 .

[16]  S. Novikov,et al.  Theory of Solitons: The Inverse Scattering Method , 1984 .

[17]  D. Mumford.  Tata Lectures on Theta I , 1982 .

[18]  Boris Dubrovin,et al.  Theta functions and non-linear equations , 1981 .

[19]  John D. Fay.  Theta Functions on Riemann Surfaces , 1973 .

[20]  F. J. Ernst.  New Formulation of the Axially Symmetric Gravitational Field Problem. II , 1968 .

[21]  F. J. Ernst.  NEW FORMULATION OF THE AXIALLY SYMMETRIC GRAVITATIONAL FIELD PROBLEM. II. , 1968 .