{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,30]],"date-time":"2022-03-30T19:00:23Z","timestamp":1648666823332},"reference-count":27,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2013,4,1]],"date-time":"2013-04-01T00:00:00Z","timestamp":1364774400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J Syst Sci Complex"],"published-print":{"date-parts":[[2013,4]]},"DOI":"10.1007\/s11424-013-2031-7","type":"journal-article","created":{"date-parts":[[2013,4,1]],"date-time":"2013-04-01T05:16:35Z","timestamp":1364793395000},"page":"281-290","source":"Crossref","is-referenced-by-count":0,"title":["The generating set of the differential invariant algebra and Maurer-Cartan equations of a (2+1)-dimensional burgers equation"],"prefix":"10.1007","volume":"26","author":[{"given":"Jianqin","family":"Mei","sequence":"first","affiliation":[]},{"given":"Haiyan","family":"Wang","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2013,4,2]]},"reference":[{"key":"2031_CR1","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4612-4350-2","volume-title":"Applications of Lie Groups to Differential Equations","author":"P J Olver","year":"1993","unstructured":"Olver P J, Applications of Lie Groups to Differential Equations, Springer-Verlag, Berlin, 1993."},{"issue":"3","key":"2031_CR2","doi-asserted-by":"crossref","first-page":"779","DOI":"10.1090\/S0002-9939-05-07998-0","volume":"134","author":"G Mari-Beffa","year":"2006","unstructured":"Mari-Beffa G, Poisson geometry of differential invariants of curves in some nonsemisimple homogeneous spaces, Proc. Amer. Math. Soc., 2006, 134(3): 779\u2013791.","journal-title":"Proc. Amer. Math. Soc."},{"key":"2031_CR3","volume-title":"Hamilton-Jacobi Theory via Cartan Geometry","author":"R G McLenaghan","year":"2009","unstructured":"McLenaghan R G and Smirnov R G, Hamilton-Jacobi Theory via Cartan Geometry, World Scientific, Singapore, 2009."},{"issue":"4","key":"2031_CR4","doi-asserted-by":"crossref","first-page":"834","DOI":"10.1016\/j.laa.2007.08.017","volume":"428","author":"V Boyko","year":"2008","unstructured":"Boyko V, Patera J, and Popovych R, Invariants of solvable Lie algebras with triangular nilradicals and diagonal nilindependent elements, Linear Algebra Appl., 2008, 428(4): 834\u2013854.","journal-title":"Linear Algebra Appl."},{"issue":"3","key":"2031_CR5","doi-asserted-by":"crossref","first-page":"903","DOI":"10.1007\/s10440-008-9353-9","volume":"109","author":"S Feng","year":"2010","unstructured":"Feng S, Kogan I A, and Krim H, Classification of curves in 2D and 3D via affine integral signatures, Acta. Appl. Math., 2010, 109(3): 903\u2013937.","journal-title":"Acta. Appl. Math."},{"key":"2031_CR6","first-page":"203","volume":"5","author":"C Shakiban","year":"2004","unstructured":"Shakiban C and Lloyd P, Signature curves statistics of DNA supercoils, Geometry, Integrability, and Quantization, 2004, 5: 203\u2013210.","journal-title":"Geometry, Integrability, and Quantization"},{"issue":"2","key":"2031_CR7","doi-asserted-by":"crossref","first-page":"161","DOI":"10.1023\/A:1005878210297","volume":"51","author":"M Fels","year":"1998","unstructured":"Fels M and Olver P J, Moving coframes I: A practical algorithm, Acta Appl. Math., 1998, 51(2): 161\u2013213.","journal-title":"Acta Appl. Math."},{"issue":"2","key":"2031_CR8","doi-asserted-by":"crossref","first-page":"127","DOI":"10.1023\/A:1006195823000","volume":"55","author":"M Fels","year":"1999","unstructured":"Fels M and Olver P J, Moving coframes II: Regularization and theoretical foundations, Acta Appl. Math., 1999, 55(2): 127\u2013208.","journal-title":"Acta Appl. Math."},{"key":"2031_CR9","doi-asserted-by":"crossref","first-page":"157","DOI":"10.1090\/conm\/285\/04741","volume":"285","author":"I A Kogan","year":"2001","unstructured":"Kogan I A, Inductive construction of moving frames, Contemp. Math., 2001, 285: 157\u2013170.","journal-title":"Contemp. Math."},{"key":"2031_CR10","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9780511623660","volume-title":"Classical Invariant Theory, London Math. Soc. Student Texts","author":"P J Olver","year":"1999","unstructured":"Olver P J, Classical Invariant Theory, London Math. Soc. Student Texts, vol. 44, Cambridge University Press, Cambridge, 1999."},{"key":"2031_CR11","doi-asserted-by":"crossref","first-page":"807","DOI":"10.4310\/CAG.1999.v7.n4.a6","volume":"7","author":"G Mari-Beffa","year":"1999","unstructured":"Mari-Beffa G and Olver P J, Differential invariants for parametrized projective surfaces, Commun. Anal. Geom., 1999, 7: 807\u2013839.","journal-title":"Commun. Anal. Geom."},{"issue":"4","key":"2031_CR12","doi-asserted-by":"crossref","first-page":"335","DOI":"10.1007\/s002080010014","volume":"1","author":"E L Mansfield","year":"2001","unstructured":"Mansfield E L, Algorithms for symmetric differential systems, Found. Comput. Math., 2001, 1(4): 335\u2013383.","journal-title":"Found. Comput. Math."},{"issue":"12","key":"2031_CR13","doi-asserted-by":"crossref","first-page":"2965","DOI":"10.1088\/0305-4470\/35\/12\/317","volume":"35","author":"O Morozov","year":"2002","unstructured":"Morozov O, Moving coframes and symmetries of differential equations, J. Phys. A: Mathematical and General, 2002, 35(12): 2965\u20132977.","journal-title":"J. Phys. A: Mathematical and General"},{"issue":"4","key":"2031_CR14","doi-asserted-by":"crossref","first-page":"455","DOI":"10.1007\/s10208-006-0219-0","volume":"7","author":"E Hubert","year":"2007","unstructured":"Hubert E and Kogan I A, Smooth and algebraic invariants of a group action: Local and global constructions, Found. Comput. Math., 2007, 7(4): 455\u2013493.","journal-title":"Found. Comput. Math."},{"issue":"3","key":"2031_CR15","doi-asserted-by":"crossref","first-page":"235","DOI":"10.1023\/A:1008139427340","volume":"40","author":"M Boutin","year":"2000","unstructured":"Boutin M, Numerically invariant signature curves, Int. J. Computer Vision, 2000, 40(3): 235\u2013248.","journal-title":"Int. J. Computer Vision"},{"issue":"2","key":"2031_CR16","doi-asserted-by":"crossref","first-page":"107","DOI":"10.1023\/A:1007992709392","volume":"26","author":"E Calabi","year":"1998","unstructured":"Calabi E, Olver P J, Shakiban C, Tannenbaum A, and Haker S, Differential and numerically invariant signature curves applied to object recognition, Int. J. Computer Vision, 1998, 26(2): 107\u2013135.","journal-title":"Int. J. Computer Vision"},{"issue":"1","key":"2031_CR17","doi-asserted-by":"crossref","first-page":"99","DOI":"10.1007\/s00029-005-0008-7","volume":"11","author":"P J Olver","year":"2005","unstructured":"Olver P J and Pohjanpelto J, Maurer-Cartan forms and the structure of Lie pseudo-groups, Selecta Math., 2005, 11(1): 99\u2013126.","journal-title":"Selecta Math."},{"key":"2031_CR18","doi-asserted-by":"crossref","first-page":"1336","DOI":"10.4153\/CJM-2008-057-0","volume":"60","author":"P J Olver","year":"2008","unstructured":"Olver P J and Pohjanpelto J, Moving frames for Lie pseudo-groups, Canadian J. Math., 2008, 60: 1336\u20131386.","journal-title":"Canadian J. Math."},{"issue":"2","key":"2031_CR19","doi-asserted-by":"crossref","first-page":"023504","DOI":"10.1063\/1.1836015","volume":"46","author":"J Cheh","year":"2005","unstructured":"Cheh J, Olver P J, and Pohjanpelto J, Maurer-Cartan equations for Lie symmetry pseudo-groups of differential equations, J. Math. Phys., 2005, 46(2): 023504.","journal-title":"J. Math. Phys."},{"issue":"4","key":"2031_CR20","doi-asserted-by":"crossref","first-page":"501","DOI":"10.1007\/s10208-005-0206-x","volume":"8","author":"J Cheh","year":"2008","unstructured":"Cheh J, Olver P J, and Pohjanpelto J, Algorithms for differential invariants of symmetry groups of differential equations, Found. Comput. Math., 2008, 8(4): 501\u2013532.","journal-title":"Found. Comput. Math."},{"key":"2031_CR21","first-page":"006","volume":"1","author":"O I Morozov","year":"2005","unstructured":"Morozov O I, Structure of symmetry groups via Cartan\u2019s method: Survey of four approaches, SIGMA: Symmetry Integrability Geom. Methods Appl., 2005, 1: 006.","journal-title":"SIGMA: Symmetry Integrability Geom. Methods Appl."},{"key":"2031_CR22","volume-title":"Application of Moving Frames to Lie Pseudo-Groups","author":"V Francis","year":"2009","unstructured":"Francis V and Olver P J, Application of Moving Frames to Lie Pseudo-Groups, University of Minnesota, 2009."},{"key":"2031_CR23","first-page":"207","volume":"381","author":"P J Olver","year":"2011","unstructured":"Olver P J, Lectures on moving frames, London Math. Soc. Lecture Note Series, 2011, 381: 207\u2013246.","journal-title":"London Math. Soc. Lecture Note Series"},{"issue":"12","key":"2031_CR24","first-page":"433","volume":"37","author":"M Bartucetucetli","year":"1983","unstructured":"Bartucetucetli M and Pantano P, Two-dimensional Burgers equation, Nuovo Cimento, 1983, 37(12): 433\u2013438.","journal-title":"Nuovo Cimento"},{"issue":"23","key":"2031_CR25","doi-asserted-by":"crossref","first-page":"5465","DOI":"10.1088\/0305-4470\/23\/23\/020","volume":"23","author":"G M Webb","year":"1990","unstructured":"Webb G M and Zank G P, Painleve analysis of the two dimensional Burgers equation, J. Phys. A: Mathematical and General, 1990, 23(23): 5465\u20135477.","journal-title":"J. Phys. A: Mathematical and General"},{"issue":"4","key":"2031_CR26","first-page":"29","volume":"31","author":"X Y Du","year":"2006","unstructured":"Du X Y, New exact solutions for (2+1)-dimensional Burgers equation, Journal of Southwest China Normal University (Natural Science), 2006, 31(4): 29\u201331.","journal-title":"Journal of Southwest China Normal University (Natural Science)"},{"issue":"1","key":"2031_CR27","first-page":"138","volume":"27","author":"Z M Zhou","year":"2011","unstructured":"Zhou Z M, Tan X Y, and Zhang J, Lie point symmetry, similarity reduction, and exact solutions of (2+1)-dimensional generalized Burgers equation, Pure and Applied Mathematics, 2011, 27(1): 138\u2013142.","journal-title":"Pure and Applied Mathematics"}],"container-title":["Journal of Systems Science and Complexity"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11424-013-2031-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11424-013-2031-7\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11424-013-2031-7","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,7,24]],"date-time":"2020-07-24T16:51:31Z","timestamp":1595609491000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11424-013-2031-7"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,4]]},"references-count":27,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2013,4]]}},"alternative-id":["2031"],"URL":"https:\/\/doi.org\/10.1007\/s11424-013-2031-7","relation":{},"ISSN":["1009-6124","1559-7067"],"issn-type":[{"value":"1009-6124","type":"print"},{"value":"1559-7067","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013,4]]}}}