Programs in Physics & Physical Chemistry
|[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.
The package PDEBellII is developed by using the Bell polynomials which is linked with Hirota operators.
The program can only handle single nonlinear evolution equations.
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.
Depends strongly on the complexity of the equation. Different tasks take from 0.4 to 20 seconds.
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