{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,11]],"date-time":"2026-03-11T15:52:02Z","timestamp":1773244322560,"version":"3.50.1"},"reference-count":41,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"6","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Appl. Math."],"published-print":{"date-parts":[[1994,12]]},"DOI":"10.1137\/s0036139993251846","type":"journal-article","created":{"date-parts":[[2005,2,23]],"date-time":"2005-02-23T14:56:44Z","timestamp":1109170604000},"page":"1693-1719","source":"Crossref","is-referenced-by-count":104,"title":["Algorithms for the Nonclassical Method of Symmetry Reductions"],"prefix":"10.1137","volume":"54","author":[{"given":"Peter A.","family":"Clarkson","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Elizabeth L.","family":"Mansfield","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"351","reference":[{"key":"R1","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611970913"},{"key":"R2","doi-asserted-by":"publisher","DOI":"10.1063\/1.530365"},{"key":"R3","first-page":"19","volume":"40","author":"Bachmair L.","year":"1976","journal-title":"ACM SIGSAM Bulletin"},{"key":"R4","volume-title":"Computational Algebraic Geometry, Part One: Basic Tools","author":"Bayer D.","year":"1986"},{"key":"R5","doi-asserted-by":"publisher","DOI":"10.1215\/S0012-7094-87-05517-7"},{"key":"R7","first-page":"1025","volume":"18","author":"Bluman George W.","year":"1968","journal-title":"J. Math. Mech."},{"key":"R8","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-4307-4"},{"key":"R9","first-page":"19","volume":"10","author":"Buchberger B.","year":"1976","journal-title":"ACM SIGSAM Bull."},{"key":"R10","doi-asserted-by":"publisher","DOI":"10.1146\/annurev.cs.03.060188.000505"},{"key":"R11","doi-asserted-by":"publisher","DOI":"10.1007\/3-540-51082-6_73"},{"key":"R12","doi-asserted-by":"publisher","DOI":"10.1016\/0010-4655(91)90080-5"},{"key":"R14","doi-asserted-by":"publisher","DOI":"10.1016\/0960-0779(94)E0099-B"},{"key":"R15","doi-asserted-by":"publisher","DOI":"10.1063\/1.528613"},{"key":"R16","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-011-2082-1_36"},{"key":"R17","doi-asserted-by":"publisher","DOI":"10.1016\/0167-2789(94)90017-5"},{"key":"R18","doi-asserted-by":"publisher","DOI":"10.1016\/0167-2789(91)90148-3"},{"key":"R19","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-2181-2"},{"key":"R21","doi-asserted-by":"publisher","DOI":"10.1007\/BF01670077"},{"key":"R22","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-017-3198-0"},{"key":"R23","first-page":"45","volume":"1","author":"Hereman W.","year":"1994","journal-title":"Euromath Bull."},{"key":"R24","volume-title":"Ordinary Differential Equations","author":"Ince E. L.","year":"1956"},{"key":"R25","doi-asserted-by":"publisher","DOI":"10.1088\/0305-4470\/22\/15\/010"},{"key":"R28","doi-asserted-by":"publisher","DOI":"10.1016\/0001-8708(82)90048-2"},{"key":"R30","first-page":"345","volume-title":"Computational and applied mathematics, II (Dublin, 1991)","author":"Nucci M. C.","year":"1992"},{"key":"R31","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-4350-2"},{"key":"R32","doi-asserted-by":"publisher","DOI":"10.1098\/rspa.1994.0035"},{"key":"R33","doi-asserted-by":"publisher","DOI":"10.1016\/0375-9601(86)90534-7"},{"key":"R34","doi-asserted-by":"publisher","DOI":"10.1137\/0147018"},{"key":"R35","volume-title":"Group analysis of differential equations","author":"vsiannikov L. V.","year":"1982"},{"key":"R36","doi-asserted-by":"publisher","DOI":"10.1088\/0305-4470\/25\/9\/032"},{"key":"R37","doi-asserted-by":"publisher","DOI":"10.1016\/0022-247X(92)90269-J"},{"key":"R38","doi-asserted-by":"publisher","DOI":"10.1088\/0305-4470\/23\/17\/001"},{"key":"R39","doi-asserted-by":"publisher","DOI":"10.1017\/S0956792500000577"},{"key":"R41","doi-asserted-by":"publisher","DOI":"10.1007\/3-540-15984-3_321"},{"key":"R42","first-page":"290","volume-title":"Topics in soliton theory and exactly solvable nonlinear equations (Oberwolfach, 1986)","author":"Schwarz Fritz","year":"1987"},{"key":"R43","doi-asserted-by":"publisher","DOI":"10.1016\/0022-314X(78)90019-7"},{"key":"R44","doi-asserted-by":"publisher","DOI":"10.1007\/BF00046918"},{"key":"R45","doi-asserted-by":"publisher","DOI":"10.1063\/1.525721"},{"key":"R46","volume-title":"Linear and nonlinear waves","author":"Whitham G. B.","year":"1974"},{"key":"R47","volume-title":"Modern Analysis","author":"Whittaker E. E.","year":"1927"},{"key":"R48","volume-title":"Mathematics: A System for Doing Mathematics by Computer","author":"Wolfram S.","year":"1991"}],"container-title":["SIAM Journal on Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/S0036139993251846","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,1,29]],"date-time":"2017-01-29T12:13:13Z","timestamp":1485691993000},"score":1,"resource":{"primary":{"URL":"http:\/\/epubs.siam.org\/doi\/10.1137\/S0036139993251846"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1994,12]]},"references-count":41,"journal-issue":{"issue":"6","published-print":{"date-parts":[[1994,12]]}},"alternative-id":["10.1137\/S0036139993251846"],"URL":"https:\/\/doi.org\/10.1137\/s0036139993251846","relation":{},"ISSN":["0036-1399","1095-712X"],"issn-type":[{"value":"0036-1399","type":"print"},{"value":"1095-712X","type":"electronic"}],"subject":[],"published":{"date-parts":[[1994,12]]}}}