CONSLAW
swMATH ID:  155 
Software Authors:  Yao, RuoXia; Li, ZhiBin 
Description:  An improved algorithm to explicitly compute the polynomialtype conservation laws for nonlinear evolution equations (either uniform in rank or not) is introduced and a software package CONSLAW written in Maple to automate the computation is developed. CONSLAW can construct the polynomialtype conservation laws for polynomial partial differential equations automatically. Furthermore, some new integrable systems can be filtered out by analyzing the compatibility conditions, which guarantee the existence of the conservation laws for a given parameterized nonlinear evolution equations. The explicit forms of the conserved densities play an important role in studying the integrability, such as explicit analytical solutions, biHamiltonian form, oneparameter family of B\"acklund transformations, Lax pairs, and the checking of the accuracy of numerical integration algorithm. The effectiveness of CONSLAW is illustrated by applying it to a variety of equations. 
Homepage:  http://www.springerlink.com/content/h203541633406r87/fulltext.pdf 
Dependencies:  Maple 
Keywords:  nonlinear evolution equation; scaling symmetry; conservation laws; symbolic computation; Kortewegde Vries equation; numerical examples; Boussinesq equation; algorithm; software package CONSLAW; integrable systems; B\"acklund transformations; Lax pairs 
Related Software:  Maple; CONDENS; GeM; WKPtest; PSEUDO; CLawDDEs; JACOBI; DDESpecialSolutions; DifferentialGeometry; TransPDEDensityFlux; DDEDensityFlux; FDCD; Vessiot; ConLaw; Rif; InvariantsSymmetries; CRACK; REDUCE; Mathematica; ATFM 
Cited in:  7 Documents 
Standard Articles
1 Publication describing the Software, including 1 Publication in zbMATH  Year 

CONSLAW: A Maple package to construct the conservation laws for nonlinear evolution equations. Zbl 1090.65124 Yao, RuoXia; Li, ZhiBin 
2006

all
top 5
Cited by 12 Authors
4  Li, Zhibin 
3  Yao, Ruoxia 
1  Adams, Paul J. 
1  Eklund, Holly L. 
1  Fu, Jingzhi 
1  Herbst, Barend M. 
1  Hereman, Willy A. 
1  Hickman, Mark S. 
1  Liu, Yinping 
1  Tu, Guizhang 
1  Zhou, Zhenjiang 
1  Zhu, Jiaofeng 
Cited in 4 Serials
2  Applied Mathematics and Computation 
1  International Journal of Modern Physics B 
1  Acta Mathematicae Applicatae Sinica. English Series 
1  Journal of Systems Science and Complexity 
all
top 5