Programs in Physics & Physical Chemistry
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|Manuscript Title: FORMINT: a program for the classification of integrable nonlinear evolution equations.|
|Authors: V.P. Gerdt, A.B. Shvachka, A.Yu. Zharkov|
|Program title: FORMINT|
|Catalogue identifier: ACDJ_v1_0|
Distribution format: gz
|Journal reference: Comput. Phys. Commun. 34(1985)303|
|Programming language: PL/1-FORMAC.|
|Computer: IBM 360/370.|
|Operating system: OS.|
|RAM: 160K words|
|Word size: 32|
|Keywords: Fluid dynamics, Evolution equations, Formal integrability, Conservation laws, Backlund-lie algebra, Backlund transformations, Computer.|
Nature of problem:
Classification of formally integrable evolution equations allows onw to derive all the equations with the property of nontrivial Lie-Backlund algebra or/and infinite series of nontrivial conservation laws. Some of these equations are interesting from the physical point of view due to their soliton solutions.
The classification algorithm is based on the concept of formal integrability. The most tedious steps of the algorithm are implemented in the program FORMINT written in the language of the computer algebra system PL/1 - FORMAC.
In some cases the available computer memory is the severest restriction. It may only be avoided if the problem is split into several smaller ones.
This depends strongly on the form of the evolution equation and on the nature of the subproblem to be solved. It cannot be estimated in advance.
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