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Publications Influence

The tanh method: I. Exact solutions of nonlinear evolution and wave equations

- W. Malfliet, W. Hereman
- Mathematics
- 1 December 1996

A systemized version of the tanh method is used to solve particular evolution and wave equations. If one deals with conservative systems, one seeks travelling wave solutions in the form of a finite… Expand

831 10

The tanh method: II. Perturbation technique for conservative systems

- W. Malfliet, W. Hereman
- Physics
- 1 December 1996

With the aid of the tanh method, nonlinear wave equations are solved in a perturbative way. First, the KdVBurgers equation is investigated in the limit of weak dispersion. As a result, a general… Expand

305 9

Determination of a Position in Three Dimensions using Trilateration and Approximate Dis- tances

- W. S. Murphy, W. Hereman
- Computer Science
- 1995

116 9

Symbolic methods to construct exact solutions of nonlinear partial differential equations

- W. Hereman, Ameina S. Nuseir
- Mathematics
- 15 January 1997

Two straightforward methods for finding solitary-wave and soliton solutions are presented and applied to a variety of nonlinear partial differential equations. The first method is a simplied version… Expand

327 7

Symbolic Computation of Conserved Densities for Systems of Nonlinear Evolution Equations

- Ü. Göktas, W. Hereman
- Computer Science, Mathematics
- J. Symb. Comput.
- 27 February 1997

TLDR

153 6- PDF

Solitary wave solutions of nonlinear evolution and wave equations using a direct method and MACSYMA

- W. Hereman, M. Takaoka
- Mathematics
- 7 November 1990

The direct algebraic method for constructing travelling wave solutions on nonlinear evolution and wave equations has been generalized and systematized. The class of solitary wave solutions is… Expand

154 5- PDF

Review of symbolic software for lie symmetry analysis

- W. Hereman
- Mathematics
- 21 April 1997

Computer algebra packages and tools that aid in the computation of Lie symmetries of differential equations are reviewed. The methods and algorithms of Lie symmetry analysis are briefly outlined.… Expand

98 5

Exact solitary wave solutions of nonlinear evolution and wave equations using a direct algebraic method

- W. Hereman, P. Banerjee, A. Korpel, G. Assanto, A. V. Immerzeele, A. Meerpoel
- Mathematics
- 1 April 1986

The authors present a systematic and formal approach toward finding solitary wave solutions of nonlinear evolution and wave equations from the real exponential solutions of the underlying linear… Expand

160 5- PDF

Symbolic computation of exact solutions expressible in hyperbolic and elliptic functions for nonlinear PDEs

- D. Baldwin, Ü. Göktas, W. Hereman, L. Hong, R. S. Martino, J. C. Miller
- Computer Science, Physics
- J. Symb. Comput.
- 8 January 2002

TLDR

152 4- PDF

Symbolic computation of hyperbolic tangent solutions for nonlinear differential-difference equations

- D. Baldwin, Ü. Göktas, W. Hereman
- Computer Science, Physics
- Comput. Phys. Commun.
- 2 December 2003

TLDR

151 4- PDF

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