CRACK
Applications of CRACK in the classification of integrable systems. The classifications of integrable systems are obtained by using a computer program. A method to reduce the length of the equations for large bilinear algebraic systems is presented. The integrable polynomial vector evolution equations, quadratic Hamiltonians with an e(3) Lie-Poisson structure and nonlocal 2+1-dimensional evolution equations are studied. An overview of the computer algebra program CRACK used in this paper is given and the algorithm designed to length-reduce differential equations is presented. The program CRACK is a computer algebra package written in REDUCE and it enables the obtaining of solutions of algebraic systems, ordinary, or partial differential equations with at most polynomial nonlinearity
Keywords for this software
References in zbMATH (referenced in 54 articles , 3 standard articles )
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- Cheviakov, Alexei F.: Symbolic computation of nonlocal symmetries and nonlocal conservation laws of partial differential equations using the GeM package for Maple (2014)
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- Anco, Stephen C.; Ali, S.; Wolf, Thomas: Symmetry analysis and exact solutions of semilinear heat flow in multi-dimensions (2011)
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- Cheviakov, Alexei F.: Symbolic computation of local symmetries of nonlinear and linear partial and ordinary differential equations (2010)
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