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[Licence| Download | New Version Template] aeqp_v1_0.tar.gz(42 Kbytes)
Manuscript Title: PDEBellII: A Maple package for finding bilinear forms, bilinear Bäcklund transformations, Lax pairs and conservation laws of the KdV-type equations
Authors: Qian Miao, Yunhu Wang, Yong Chen, Yunqing Yang
Program title: PDEBellII
Catalogue identifier: AEQP_v1_0
Distribution format: tar.gz
Journal reference: Comput. Phys. Commun. 185(2014)357
Programming language: Maple internal language.
Computer: PCs, Dell OptiPlex 390.
Operating system: Windows XP and Windows 7.
RAM: Depends on the complexity of the problem (MB)
Keywords: Bell polynomials, Hirota operator, Lax pair, Bäcklund transformation, Infinite conservation law, Symbolic computation.
PACS: 02.70.Wz, 02.30.Ik, 02.30.Jr.
Classification: 4.3, 5.

Nature of problem:
Determination of integrability of the nonlinear evolution equations, including bilinear forms, bilinear Bäcklund transformations, Lax pairs and conservation laws.

Solution method:
The package PDEBellII is developed by using the Bell polynomials which is linked with Hirota operators.

Restrictions:
The program can only handle single nonlinear evolution equations.

Unusual features:
The program PDEBellII is the first Maple automatic program to construct bilinear Bäcklund transformation, Lax pair and the infinite conservation laws for nonlinear evolution equations.

Running time:
Depends strongly on the complexity of the equation. Different tasks take from 0.4 to 20 seconds.