메뉴 건너뛰기




Volumn 203, Issue 1, 2004, Pages 1-27

On the integrability of systems of second order evolution equations with two components

Author keywords

Integrable system; Lech Mahler theorem; The symbolic method

Indexed keywords


EID: 3042646755     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jde.2004.04.010     Document Type: Article
Times cited : (11)

References (23)
  • 1
    • 38249005490 scopus 로고
    • Completely integrable systems of Brusselator type
    • Bakirov I.M. Popkov V.Yu. Completely integrable systems of Brusselator type Phys. Lett. A 141 5-6 1989 275-277
    • (1989) Phys. Lett. A , vol.141 , Issue.5-6 , pp. 275-277
    • Bakirov, I.M.1    Popkov, V.Yu.2
  • 5
    • 0003831772 scopus 로고    scopus 로고
    • On integrable evolution equations in commutative and noncommutative variables
    • Ph.D. Thesis, University of Minnesota, Minneapolis
    • M.V. Foursov, On integrable evolution equations in commutative and noncommutative variables, Ph.D. Thesis, University of Minnesota, Minneapolis, 1999
    • (1999)
    • Foursov, M.V.1
  • 6
    • 0034679391 scopus 로고    scopus 로고
    • On integrable coupled Burgers-type equations
    • Foursov M.V. On integrable coupled Burgers-type equations Phys. Lett. A 272 1-2 2000 57-64
    • (2000) Phys. Lett. A , vol.272 , Issue.1-2 , pp. 57-64
    • Foursov, M.V.1
  • 7
    • 0002290012 scopus 로고
    • Asymptotic properties of the resolvent of Sturm-Liouville equations, and the algebra of Korteweg-de Vries equations
    • (185) (English translation, Russian Math. Surveys 30 (5) (1975) 77-113)
    • I.M. Gel'fand, L.A. Dikiǐ Asymptotic properties of the resolvent of Sturm-Liouville equations, and the algebra of Korteweg-de Vries equations, Uspehi Mat. Nauk 30 (5(185)) (1975) 67-100 (English translation, Russian Math. Surveys 30 (5) (1975) 77-113)
    • (1975) Uspehi Mat. Nauk , vol.30 , Issue.5 , pp. 67-100
    • Gel'fand, I.M.1    Dikiǐ, L.A.2
  • 8
    • 0001043198 scopus 로고
    • A note on recurring sequences
    • Lech C. A note on recurring sequences Ark. Mat. 2 1953 417-421
    • (1953) Ark. Mat. , vol.2 , pp. 417-421
    • Lech, C.1
  • 12
    • 0002369259 scopus 로고
    • A symmetric approach to the classification of nonlinear equations. Complete lists of integrable systems
    • (256)
    • A.V. Mikhaǐlov, A.B. Shabat, R.I. Yamilov, A symmetric approach to the classification of nonlinear equations. Complete lists of integrable systems, Uspekhi Mat. Nauk 42 (4(256)) (1987) 3-53
    • (1987) Uspekhi Mat. Nauk , vol.42 , Issue.4 , pp. 3-53
    • Mikhaǐlov, A.V.1    Shabat, A.B.2    Yamilov, R.I.3
  • 14
    • 0037636936 scopus 로고    scopus 로고
    • Classification of symmetry-integrable evolution equations
    • C. Rogers, P. Winternitz (Eds.), Bäcklund and Darboux Transformations, The Geometry of Solitons (Halifax, NS, 1999), American Mathematical Society, Providence, RI
    • P.J. Olver, J.A. Sanders, J.P. Wang, Classification of symmetry-integrable evolution equations, in: C. Rogers, P. Winternitz (Eds.), CRM Proc. Lecture Notes, vol. 29. Bäcklund and Darboux Transformations, The Geometry of Solitons (Halifax, NS, 1999), American Mathematical Society, Providence, RI, 2001, pp. 363-372
    • (2001) CRM Proc. Lecture Notes , vol.29 , pp. 363-372
    • Olver, P.J.1    Sanders, J.A.2    Wang, J.P.3
  • 15
    • 0032478456 scopus 로고    scopus 로고
    • Integrable evolution equations on associative algebras
    • Olver P.J. Sokolov V.V. Integrable evolution equations on associative algebras Comm. Math. Phys. 193 2 1998 245-268
    • (1998) Comm. Math. Phys. , vol.193 , Issue.2 , pp. 245-268
    • Olver, P.J.1    Sokolov, V.V.2
  • 16
    • 0004274515 scopus 로고    scopus 로고
    • Classification of integrable one-component systems on associative algebras
    • (3)
    • Olver P.J. Wang J.P. Classification of integrable one-component systems on associative algebras Proc. London Math. Soc. (3) 81 3 2000 566-586
    • (2000) Proc. London Math. Soc. , vol.81 , Issue.3 , pp. 566-586
    • Olver, P.J.1    Wang, J.P.2
  • 17
    • 0001445382 scopus 로고    scopus 로고
    • On the integrability of homogeneous scalar evolution equations
    • Sanders J.A. Wang J.P. On the integrability of homogeneous scalar evolution equations J. Differential Equations 147 2 1998 410-434
    • (1998) J. Differential Equations , vol.147 , Issue.2 , pp. 410-434
    • Sanders, J.A.1    Wang, J.P.2
  • 18
    • 35748966843 scopus 로고    scopus 로고
    • On the integrability of non-polynomial scalar evolution equations
    • Sanders J.A. Wang J.P. On the integrability of non-polynomial scalar evolution equations J. Differential Equations 166 1 2000 132-150
    • (2000) J. Differential Equations , vol.166 , Issue.1 , pp. 132-150
    • Sanders, J.A.1    Wang, J.P.2
  • 20
    • 0009939882 scopus 로고    scopus 로고
    • A symmetry test for quasilinear coupled systems
    • (Letter to the editor)
    • Sokolov V.V. Wolf T. A symmetry test for quasilinear coupled systems Inverse Problems 15 1999 L5-L11 (Letter to the editor)
    • (1999) Inverse Problems , vol.15
    • Sokolov, V.V.1    Wolf, T.2
  • 21
    • 45249127101 scopus 로고
    • On the analogues of the Burgers equation
    • Svinolupov S.I. On the analogues of the Burgers equation Phys. Lett. A 135 1 1989 32-36
    • (1989) Phys. Lett. A , vol.135 , Issue.1 , pp. 32-36
    • Svinolupov, S.I.1
  • 23
    • 0003607605 scopus 로고    scopus 로고
    • Symmetries and conservation laws of evolution equations
    • Ph.D. Thesis, Vrije Universiteit/Thomas Stieltjes Institute, Amsterdam
    • J.P. Wang, Symmetries and conservation laws of evolution equations, Ph.D. Thesis, Vrije Universiteit/Thomas Stieltjes Institute, Amsterdam, 1998
    • (1998)
    • Wang, J.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.