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Volumn 65, Issue 2, 2000, Pages 155-167

Solving Third Order Differential Equations with Maximal Symmetry Group

Author keywords

Computer algebra; Differential equations; Equivalence problems; Lie symmetries

Indexed keywords


EID: 0000303574     PISSN: 0010485X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s006070070017     Document Type: Article
Times cited : (3)

References (14)
  • 4
    • 0005389676 scopus 로고    scopus 로고
    • Rational solutions of Riccati like systems of partial differential equations
    • to appear
    • Li, Z., Schwarz, F.: Rational solutions of Riccati like systems of partial differential equations. J Symb. Comput. (to appear).
    • J Symb. Comput.
    • Li, Z.1    Schwarz, F.2
  • 5
    • 0242292948 scopus 로고
    • Klassifikation und Integration von gewöhnlichen Differentialgleichungen zwischen x, y, die eine Gruppe von Transformationen gestatten. III
    • Lie, S.: Klassifikation und Integration von gewöhnlichen Differentialgleichungen zwischen x, y, die eine Gruppe von Transformationen gestatten. III. Arch. Math. 8, 362-427 (1883) [see also Gesammelte Abhandlungen, vol V].
    • (1883) Arch. Math. , vol.8 , pp. 362-427
    • Lie, S.1
  • 6
    • 0041298623 scopus 로고    scopus 로고
    • Lie, S.: Klassifikation und Integration von gewöhnlichen Differentialgleichungen zwischen x, y, die eine Gruppe von Transformationen gestatten. III. Arch. Math. 8, 362-427 (1883) [see also Gesammelte Abhandlungen, vol V].
    • Gesammelte Abhandlungen , vol.5
  • 8
    • 0011922644 scopus 로고
    • Über gewöhnliche Differentialgleichungen, die lineare homogene Form erhalten können
    • Neumer, W.: Über gewöhnliche Differentialgleichungen, die lineare homogene Form erhalten können, Mitteilungen des Mathematischen Seminars der Universiät Giessen 16, 1-52 (1929).
    • (1929) Mitteilungen des Mathematischen Seminars der Universiät Giessen , vol.16 , pp. 1-52
    • Neumer, W.1
  • 10
    • 21944451409 scopus 로고    scopus 로고
    • Symmetry algebras and normal forms of third order ordinary differential equations
    • Schmucker, A., Czichowski, G.: Symmetry algebras and normal forms of third order ordinary differential equations. J. Lie Theory 8, 129-137 (1998).
    • (1998) J. Lie Theory , vol.8 , pp. 129-137
    • Schmucker, A.1    Czichowski, G.2
  • 11
    • 84961387717 scopus 로고    scopus 로고
    • ALLTYPES: An algebraic language and TYPE system
    • Plattsburgh, NY (Calmet, J., Plaza, J., eds.), Berlin Heidelberg New York Tokyo: Springer
    • Schwarz, F.: ALLTYPES: An algebraic language and TYPE system. In: Proceedings of the 4th Conference on Artificial Intelligence and Symbolic Computations, Plattsburgh, NY (Calmet, J., Plaza, J., eds.), pp. 270-283. Berlin Heidelberg New York Tokyo: Springer, 1998.
    • (1998) Proceedings of the 4th Conference on Artificial Intelligence and Symbolic Computations , pp. 270-283
    • Schwarz, F.1
  • 12
    • 0032674584 scopus 로고    scopus 로고
    • Solving second order ordinary differential equations with maximal symmetry group
    • Schwarz, F.: Solving second order ordinary differential equations with maximal symmetry group. Computing 62, 1-10 (1999).
    • (1999) Computing , vol.62 , pp. 1-10
    • Schwarz, F.1
  • 13
    • 18044404414 scopus 로고    scopus 로고
    • Solving second order differential equations with Lie symmetries
    • Schwarz, F.: Solving second order differential equations with Lie symmetries. Acta Math. Appl. 60, 39-113 (2000).
    • (2000) Acta Math. Appl. , vol.60 , pp. 39-113
    • Schwarz, F.1
  • 14
    • 0041298620 scopus 로고    scopus 로고
    • Über die Integration einer Klasse gewöhnlicher Differentialgleichungen dritter Ordnung
    • (in Polish) [Translation into German by Ilona Bach]
    • Zorawski, K.: Über die Integration einer Klasse gewöhnlicher Differentialgleichungen dritter Ordnung. Krakauer Abhandlungen 34, 141-205 (in Polish) [Translation into German by Ilona Bach].
    • Krakauer Abhandlungen , vol.34 , pp. 141-205
    • Zorawski, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.