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Volumn 57, Issue 2, 2007, Pages 435-447

Bäcklund transformations for new integrable hierarchies related to the polynomial Lie algebra g l∞(n)

Author keywords

B cklund Darboux transformation; Classical integrable systems; Integrable hierarchy; Integrable PDEs; Lax equation; Vertex algebras; Zakharov Shabat equation

Indexed keywords


EID: 33750315874     PISSN: 03930440     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.geomphys.2006.03.011     Document Type: Article
Times cited : (8)

References (7)
  • 1
    • 26844478724 scopus 로고    scopus 로고
    • New integrable hierarchies from vertex operator representations of polynomial Lie algebras
    • Casati P., and Ortenzi G. New integrable hierarchies from vertex operator representations of polynomial Lie algebras. J. Geom. Phys. 56 3 (2006) 418-449
    • (2006) J. Geom. Phys. , vol.56 , Issue.3 , pp. 418-449
    • Casati, P.1    Ortenzi, G.2
  • 2
    • 0042220513 scopus 로고    scopus 로고
    • Geometric Bäcklund-Darboux transformations for the KP hierarchy
    • Helminck G.F., and van de Leur J.W. Geometric Bäcklund-Darboux transformations for the KP hierarchy. Publ. Res. Inst. Math. Sci. 37 4 (2001) 479-519
    • (2001) Publ. Res. Inst. Math. Sci. , vol.37 , Issue.4 , pp. 479-519
    • Helminck, G.F.1    van de Leur, J.W.2
  • 3
    • 0348163853 scopus 로고    scopus 로고
    • A vector potential KdV equation and vector Ito equation: Soliton solutions, bilinear Bäcklund transformations and Lax pairs
    • Hirota R., Hu X., and Tang X. A vector potential KdV equation and vector Ito equation: Soliton solutions, bilinear Bäcklund transformations and Lax pairs. J. Math. Anal. Appl. 288 1 (2003) 326-348
    • (2003) J. Math. Anal. Appl. , vol.288 , Issue.1 , pp. 326-348
    • Hirota, R.1    Hu, X.2    Tang, X.3
  • 5
    • 0041728683 scopus 로고    scopus 로고
    • The n-component KP hierarchy and representation theory
    • Kac V.G., and van de Leur J.W. The n-component KP hierarchy and representation theory. J. Math. Phys. 44 8 (2003) 3245-3293
    • (2003) J. Math. Phys. , vol.44 , Issue.8 , pp. 3245-3293
    • Kac, V.G.1    van de Leur, J.W.2
  • 6
    • 0034627686 scopus 로고    scopus 로고
    • Dressing method and the coupled KP hierarchy
    • Kakei S. Dressing method and the coupled KP hierarchy. Phys. Lett. A 264 6 (2000) 449-458
    • (2000) Phys. Lett. A , vol.264 , Issue.6 , pp. 449-458
    • Kakei, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.