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Volumn 25, Issue 8-9, 1997, Pages 91-100

Algorithmic determination of infinite-dimensional symmetry groups for integrable systems in 1+1 dimensions

Author keywords

[No Author keywords available]

Indexed keywords

INTEGRATION; NUMERICAL METHODS; PARTIAL DIFFERENTIAL EQUATIONS; VECTORS;

EID: 0031127260     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0895-7177(97)00061-7     Document Type: Article
Times cited : (5)

References (16)
  • 1
    • 0043031487 scopus 로고
    • Dirac structures and integrabillty of nonlinear equations
    • John Wiley and Sons, Chichester
    • I. Dorfman, Dirac structures and integrabillty of nonlinear equations, Nonlinear Science: Theory and Applications, John Wiley and Sons, Chichester, (1993).
    • (1993) Nonlinear Science: Theory and Applications
    • Dorfman, I.1
  • 3
    • 0342341814 scopus 로고
    • Geometry and action-angle variables of multisoliton systems
    • B. Fuchssteiner and G. Oevel, Geometry and action-angle variables of multisoliton systems, Rev. Math. Phys. 1, 415-479 (1990).
    • (1990) Rev. Math. Phys. , vol.1 , pp. 415-479
    • Fuchssteiner, B.1    Oevel, G.2
  • 4
    • 0342341819 scopus 로고
    • Unified approach to action-angle representation of real and complex multisolitons
    • G. Oevel and B. Fuchssteiner, Unified approach to action-angle representation of real and complex multisolitons, Physica A 181, 364-384 (1992).
    • (1992) Physica A , vol.181 , pp. 364-384
    • Oevel, G.1    Fuchssteiner, B.2
  • 5
    • 0001056404 scopus 로고
    • Mastersymmetries, higher-order time-dependent symmetries and conserved densities of non-linear evolution equations
    • B. Fuchssteiner, Mastersymmetries, higher-order time-dependent symmetries and conserved densities of non-linear evolution equations, Progr. Theor. Phys. 70, 1508-1522 (1983).
    • (1983) Progr. Theor. Phys. , vol.70 , pp. 1508-1522
    • Fuchssteiner, B.1
  • 7
    • 84911744678 scopus 로고
    • The recursion operator of the Kadomtsev-Petviashvili equation and the squared eigenfunctions of the Schrödinger operator
    • A.S. Fokas and P.M. Santini, The recursion operator of the Kadomtsev-Petviashvili equation and the squared eigenfunctions of the Schrödinger operator, Studies in Appl. Math. 75, 179-186 (1986).
    • (1986) Studies in Appl. Math. , vol.75 , pp. 179-186
    • Fokas, A.S.1    Santini, P.M.2
  • 8
    • 0343211526 scopus 로고
    • Algorithms to detect complete integrability in 1+1-dimension
    • Edited by S. Carillo and O. Ragnisco, Springer Verlag, Berlin
    • W. Wiwianka and B. Fuchssteiner, Algorithms to detect complete integrability in 1+1-dimension, In Research Reports in Physics - Nonlinear Dynamics, (Edited by S. Carillo and O. Ragnisco), pp. 131-135, Springer Verlag, Berlin, (1990).
    • (1990) Research Reports in Physics - Nonlinear Dynamics , pp. 131-135
    • Wiwianka, W.1    Fuchssteiner, B.2
  • 10
    • 0342776765 scopus 로고
    • Computer algorithms for the detection of completely integrable quantum spin chains
    • Edited by D. Levi and P. Winternitz, World Scientific Publishers, Singapore
    • B. Fuchssteiner and U. Falck, Computer algorithms for the detection of completely integrable quantum spin chains, In Symmetries and Nonlinear Phenomena, (Edited by D. Levi and P. Winternitz), pp. 22-50, World Scientific Publishers, Singapore, (1988).
    • (1988) Symmetries and Nonlinear Phenomena , pp. 22-50
    • Fuchssteiner, B.1    Falck, U.2
  • 11
    • 0000842014 scopus 로고
    • Mastersymmetries and multi-Hamiltonian formulations for some integrable lattice systems
    • W. Oevel, H. Zhang and B. Fuchssteiner, Mastersymmetries and multi-Hamiltonian formulations for some integrable lattice systems, Progr. Theor. Phys. 81, 294-308 (1989).
    • (1989) Progr. Theor. Phys. , vol.81 , pp. 294-308
    • Oevel, W.1    Zhang, H.2    Fuchssteiner, B.3
  • 13
    • 36449007071 scopus 로고
    • Symmetries, conserved quantities and hierarchies for some lattice systems with soliton structure
    • W. Oevel, H. Zhang, G. Tu and B. Fuchssteiner, Symmetries, conserved quantities and hierarchies for some lattice systems with soliton structure, J. Math. Phys. 32, 1908-1918 (1991).
    • (1991) J. Math. Phys. , vol.32 , pp. 1908-1918
    • Oevel, W.1    Zhang, H.2    Tu, G.3    Fuchssteiner, B.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.