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Volumn 40, Issue 3, 1999, Pages 1420-1431

Symmetry reductions of the BKP hierarchy

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EID: 0033241377     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.532812     Document Type: Article
Times cited : (50)

References (18)
  • 1
    • 0002918206 scopus 로고
    • Volterra operator algebra for zero curvature representation. Universality of KP
    • edited by A. S. Fokas, D. J. Kaup, A. C. Newell, and V. E. Zakharov Springer-Verlag, Berlin
    • A. Y. Orlov, "Volterra operator algebra for zero curvature representation. Universality of KP," in Nonlinear Processes in Physics, edited by A. S. Fokas, D. J. Kaup, A. C. Newell, and V. E. Zakharov (Springer-Verlag, Berlin 1991), pp. 126-131.
    • (1991) Nonlinear Processes in Physics , pp. 126-131
    • Orlov, A.Y.1
  • 2
    • 36449006460 scopus 로고
    • Constraints of the Kadomtsev-Petviashvili hierarchy
    • Y. Cheng, "Constraints of the Kadomtsev-Petviashvili hierarchy," J. Math. Phys. 33, 3774-3782 (1992).
    • (1992) J. Math. Phys. , vol.33 , pp. 3774-3782
    • Cheng, Y.1
  • 3
    • 0001297868 scopus 로고    scopus 로고
    • Constrained KP hierarchies: Additional symmetries, Darboux-Bäcklund solutions and relations to multi-matrix models
    • H. Aratyn, E. Nissimov, and S. Pacheva, "Constrained KP hierarchies: additional symmetries, Darboux-Bäcklund solutions and relations to multi-matrix models," Int. J. Mod. Phys. A 12, 1265-1340 (1997).
    • (1997) Int. J. Mod. Phys. A , vol.12 , pp. 1265-1340
    • Aratyn, H.1    Nissimov, E.2    Pacheva, S.3
  • 4
    • 0031558513 scopus 로고    scopus 로고
    • KP symmetry reductions and a generalized constraint
    • I. Loris and R. Willox, "KP symmetry reductions and a generalized constraint," J. Phys. A 30, 6925-6938 (1997).
    • (1997) J. Phys. A , vol.30 , pp. 6925-6938
    • Loris, I.1    Willox, R.2
  • 5
    • 21144459129 scopus 로고
    • New reductions of the Kadomtsev-Petviashvili and two-dimensional Toda lattice hierarachies via symmetry constraints
    • B. Konopelchenko and W. Strampp, "New reductions of the Kadomtsev-Petviashvili and two-dimensional Toda lattice hierarachies via symmetry constraints," J. Math. Phys. 33, 3676-3686 (1992).
    • (1992) J. Math. Phys. , vol.33 , pp. 3676-3686
    • Konopelchenko, B.1    Strampp, W.2
  • 6
    • 0032073617 scopus 로고    scopus 로고
    • An analytic description of the vector constrained KP hierarchy
    • G. Helminck and J. W. van de Leur, "An analytic description of the vector constrained KP hierarchy," Commun. Math. Phys. 193, 627-641 (1998).
    • (1998) Commun. Math. Phys. , vol.193 , pp. 627-641
    • Helminck, G.1    Van De Leur, J.W.2
  • 8
    • 0001782995 scopus 로고
    • Darboux transformations from reductions of the KP hierarchy
    • edited by V. G. Makhankov, A. R. Bishop, and D. D. Holm World Scientific, Singapore
    • J. J. C. Nimmo, "Darboux transformations from reductions of the KP hierarchy," in Nonlinear Evolution Equations and Dynamical Systems, edited by V. G. Makhankov, A. R. Bishop, and D. D. Holm (World Scientific, Singapore, 1995), pp. 168-177.
    • (1995) Nonlinear Evolution Equations and Dynamical Systems , pp. 168-177
    • Nimmo, J.J.C.1
  • 10
    • 0032069132 scopus 로고    scopus 로고
    • Method of squared eigenfunction potentials in integrable hierarchies of KP type
    • H. Aratyn, E. Nissimov, and S. Pacheva, "Method of squared eigenfunction potentials in integrable hierarchies of KP type," Commun. Math. Phys. 193, 493-525 (1998).
    • (1998) Commun. Math. Phys. , vol.193 , pp. 493-525
    • Aratyn, H.1    Nissimov, E.2    Pacheva, S.3
  • 11
    • 0000266051 scopus 로고
    • Soliton solutions to the BKP equations. I. The Pfaffian technique
    • R. Hirota, "Soliton solutions to the BKP equations. I. the Pfaffian technique," J. Phys. Soc. Jpn. 58, 2285-2296 (1989).
    • (1989) J. Phys. Soc. Jpn. , vol.58 , pp. 2285-2296
    • Hirota, R.1
  • 12
    • 0009282871 scopus 로고    scopus 로고
    • Darboux transformations for the two-dimensional Toda lattice
    • J. J. C. Nimmo and R. Willox, "Darboux transformations for the two-dimensional Toda lattice," Proc. R. Soc. London, Ser. A 453, 2497-2525 (1997).
    • (1997) Proc. R. Soc. London, Ser. A , vol.453 , pp. 2497-2525
    • Nimmo, J.J.C.1    Willox, R.2
  • 14
    • 0003252813 scopus 로고
    • Soliton equations and Hamiltonian systems
    • World Scientific, Singapore
    • L. Dickey, "Soliton equations and Hamiltonian systems," Vol. 12 of Advanced Series in Mathematical Physics (World Scientific, Singapore, 1991).
    • (1991) Advanced Series in Mathematical Physics , vol.12
    • Dickey, L.1
  • 15
    • 0002464716 scopus 로고
    • Direct methods in soliton theory
    • edited by R. K. Bullough and P. J. Caudrey Springer-Verlag, Berlin
    • R. Hirota, "Direct methods in soliton theory," in Solitons, edited by R. K. Bullough and P. J. Caudrey (Springer-Verlag, Berlin, 1980), pp. 157-176.
    • (1980) Solitons , pp. 157-176
    • Hirota, R.1
  • 16
    • 0001037040 scopus 로고
    • Darboux theorems and Wronskian formulas for integrable systems I. Constrained KP flows
    • W. Oevel, "Darboux theorems and Wronskian formulas for integrable systems I. Constrained KP flows," Physica A 195, 533-576 (1993).
    • (1993) Physica A , vol.195 , pp. 533-576
    • Oevel, W.1
  • 17
    • 0031520778 scopus 로고    scopus 로고
    • On solutions of constrained Kadomtsev-Petviashvili equations: Giammians
    • I. Loris and R. Willox, "On solutions of constrained Kadomtsev-Petviashvili equations: Giammians," J. Math. Phys. 38, 5190-5197 (1997).
    • (1997) J. Math. Phys. , vol.38 , pp. 5190-5197
    • Loris, I.1    Willox, R.2
  • 18
    • 0002039001 scopus 로고
    • A bilinear N-soliton formula for the KP equation
    • A. Nakamura, "A bilinear N-soliton formula for the KP equation," J. Phys. Soc. Jpn. 58, 412-422 (1989).
    • (1989) J. Phys. Soc. Jpn. , vol.58 , pp. 412-422
    • Nakamura, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.