swMATH ID: 155
Software Authors: Yao, Ruo-Xia; Li, Zhi-Bin
Description: An improved algorithm to explicitly compute the polynomial-type 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 polynomial-type 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, bi-Hamiltonian form, one-parameter 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; Korteweg-de 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

Citations by Year