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[Licence| Download | New Version Template] aeam_v1_0.tar.gz(76 Kbytes)
Manuscript Title: Automatic Computation of the Travelling Wave Solutions to Nonlinear PDEs
Authors: Songxin Liang, David J. Jeffrey
Program title: TWS
Catalogue identifier: AEAM_v1_0
Distribution format: tar.gz
Journal reference: Comput. Phys. Commun. 178(2008)700
Programming language: Maple 10.
Computer: A laptop with 1.6 GHz Pentium CPU.
Operating system: Windows XP Professiona.
RAM: 760M bytes
Keywords: Nonlinear partial differential equation, travelling wave solution, tanh- function method, symbolic computation, exact solution.
PACS: 02.30.Jr, 02.70.Wz, 01.50.Ff.
Classification: 5.

Nature of problem:
Finding the travelling wave solutions to single nonlinear PDEs

Solution method:
Based on tanh-function method

Restrictions:
The current version of this package can only deal with single autonomous PDEs or ODEs, not systems of PDEs or ODEs. However, the PDEs can have any finite number of independent space variables in addition to time t.

Unusual features:
For PDEs whose balancing numbers are not positive integers, TWS works much better than existing packages. Furthermore, TWS obtains more solutions than existing packages for most cases.

Additional comments:
It is easy to use

Running time:
Less than 20 seconds for most cases, between 20 to 100 seconds for some cases, over 100 seconds for few cases.

References:
[1] E.S. Cheb-Terrab and K. von Bulow, Comp. Phys. Comm. 90 (1995) 102.
[2] S.A. Elwakil, S.K. El-labany, M.A. Zahran, R. Sabry, Phys. Lett. A 299 (2002) 179.
[3] E. Fan, Phys. Lett. 277 (2000) 212.
[4] W. Malfliet, Am. J. Phys. 60 (1992) 650.
[5] W. Malfliet, W. Hereman, Physica Scripta 54 (1996) 563.
[6] E.J. Parkes, B.R. Duffy, Comp. Phys. Comm. 98 (1996) 288.