Fast differential elimination in C: The CDiffElim environment ? ? This program can be downloaded fro

[1]  Maurice Janet,et al.  Sur les systèmes d'équations aux dérivées partielles , 1920 .

[2]  Vladimir E. Zakharov,et al.  SELF EXCITATION OF WAVES WITH DIFFERENT POLARIZATIONS IN NONLINEAR MEDIA. , 1970 .

[3]  V. I. Talanov,et al.  Focusing of Light in Cubic Media , 1970 .

[4]  W. S. Brown.  On Euclid's Algorithm and the Computation of Polynomial Greatest Common Divisors , 1971, JACM.

[5]  Roger H.J. Grimshaw,et al.  Slowly varying solitary waves. II. Nonlinear Schrödinger equation , 1979, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[6]  B. Buchberger,et al.  Grobner Bases : An Algorithmic Method in Polynomial Ideal Theory , 1985 .

[7]  Thomas Wolf,et al.  A package for the analytic investigation and exact solution of differential equations , 1987, EUROCAL.

[8]  P. Winternitz,et al.  Lie symmetries of a generalised non-linear Schrodinger equation. II. Exact solutions , 1989 .

[9]  Gregory J. Reid,et al.  Algorithms for reducing a system of PDEs to standard form, determining the dimension of its solution space and calculating its Taylor series solution , 1991, European Journal of Applied Mathematics.

[10]  David Hartley,et al.  A Constructive Implementation of the Cartan-Kähler Theory of Exterior Differential Systems , 1991, J. Symb. Comput..

[11]  Fritz Schwarz,et al.  Reduction and completion algorithms for partial differential equations , 1992, ISSAC '92.

[12]  Gregory J. Reid,et al.  Algorithmic determination of commutation relations for Lie symmetry algebras of PDEs , 1992, ISSAC '92.

[13]  L. Gagnon.  Self-similar solutions for a coupled system of nonlinear Schrodinger equations , 1992 .

[14]  P. Clarkson.  Dimensional reductions and exact solutions of a generalized nonlinear Schrodinger equation , 1992 .

[15]  François Boulier,et al.  Representation for the radical of a finitely generated differential ideal , 1995, ISSAC '95.

[16]  C. C. Pantelides,et al.  A modelling and simulation language for combined lumped and distributed parameter systems , 1996 .

[17]  Gene H. Golub,et al.  Matrix computations (3rd ed.) , 1996 .

[18]  Gregory J. Reid,et al.  Reduction of systems of nonlinear partial differential equations to simplified involutive forms , 1996, European Journal of Applied Mathematics.

[19]  Gregory J. Reid,et al.  Rankings of partial derivatives , 1997, ISSAC.

[20]  P. Olver,et al.  Moving Coframes: I. A Practical Algorithm , 1998 .

[21]  P. Clarkson,et al.  Nonclassical Reductions of a 3+1-Cubic Nonlinear Schrodinger System , 1998 .

[22]  Gregory J. Reid,et al.  Existence and uniqueness theorems for formal power series solutions of analytic differential systems , 1999, ISSAC '99.

[23]  Michael B. Monagan,et al.  On the design and implementation of Brown's algorithm over the integers and number fields , 2000, ISSAC.

[24]  Andrew J. Sommese,et al.  Numerical Homotopies to Compute Generic Points on Positive Dimensional Algebraic Sets , 2000, J. Complex..

[25]  Gregory J. Reid,et al.  Determination of maximal symmetry groups of classes of differential equations , 2000, ISSAC.