Formint — A program for the classification of integrable nonlinear evolution equations

✍ Scribed by V.P. Gerdt; A.B. Shvachka; A.Yu. Zharkov

• Publisher: Elsevier Science
• Year: 1985
• Tongue: English
• Weight: 586 KB
• Volume: 34
• Category: Article
• ISSN: 0010-4655
• DOI: 10.1016/0010-4655(85)90007-4

✦ Synopsis

Title ofprogram.' FORMINT Lie B'ácklund algebra or/and infinite series of nontrivial conservation laws. Some of these equations are interesting from the Catalogue number: ACDJ physical point of view due to their soliton solutions. Program obtainable from: CPC Program Library, Queen's Uni-Method of solution versity of Belfast, N. Ireland (see application form in this issue) The classification algorithm is based on the concept of formal integrability proposed in ref. [1}.The most tedious steps of the Computer: IBM 360/370 algorithm are implemented in the program FORMINT written in the language of the computer algebra system PL/1-FOR-Operating system.' OS MAC 12]. Programming language used: PL/1-FORMAC Restrictions on the complexity of the problem In some cases the available computer memory is the severest High speed storage required: depends on the problem, minimum restriction. It may only be avoided if the problem is split into 160000 bytes several smaller ones. No. of bits in a word: 32 Running time This depends strongly on the form of the evolution equation No. of lines in combinedprogram and test deck: 344 and on the nature of the subproblem to be solved. It cannot be estimated in advance.