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Volumn 453, Issue 1963, 1997, Pages 1671-1688

On the geometry of an integrable (2 + 1)-dimensional sine-Gordon system

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EID: 33746844641     PISSN: 13645021     EISSN: None     Source Type: Journal    
DOI: 10.1098/rspa.1997.0090     Document Type: Article
Times cited : (35)

References (25)
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    • Solutions of Einstein's equations: Techniques and results
    • Hoenselaers, C. & Dietz, W. (eds) Berlin: Springer
    • Hoenselaers, C. & Dietz, W. (eds) 1984 Solutions of Einstein's equations: techniques and results, Springer Lecture Notes in Physics. Berlin: Springer.
    • (1984) Springer Lecture Notes in Physics
  • 8
    • 0000052719 scopus 로고
    • On (2 + 1)-dimensional nonlinear systems of Loewner-type
    • Konopelchenko, B. G. & Rogers, C. 1991 On (2 + 1)-dimensional nonlinear systems of Loewner-type. Phys. Lett. A158, 391-397.
    • (1991) Phys. Lett. , vol.A158 , pp. 391-397
    • Konopelchenko, B.G.1    Rogers, C.2
  • 9
    • 33646819537 scopus 로고
    • On generalized Loewner systems: Novel integrable equations in (2 + 1) dimensions
    • Konopelchenko, B. G. & Rogers, C. 1993 On generalized Loewner systems: novel integrable equations in (2 + 1) dimensions. J. Math. Phys. 34, 214-242.
    • (1993) J. Math. Phys. , vol.34 , pp. 214-242
    • Konopelchenko, B.G.1    Rogers, C.2
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    • A (2 + 1)-dimensional sine-Gordon system: Its auto-Bäcklund transformation
    • Konopelchenko, B. G., Schief, W. & Rogers, C. 1992 A (2 + 1)-dimensional sine-Gordon system: its auto-Bäcklund transformation. Phys. Lett. A172, 39-48.
    • (1992) Phys. Lett. , vol.A172 , pp. 39-48
    • Konopelchenko, B.G.1    Schief, W.2    Rogers, C.3
  • 11
    • 0012849869 scopus 로고
    • Bäcklund transformations at the turn of the century
    • (ed. R. M. Miura), Springer Lecture Notes in Mathematics 515, New York: Springer
    • Lamb Jr, G. L. 1976 Bäcklund transformations at the turn of the century. In Bäcklund transformations (ed. R. M. Miura), Springer Lecture Notes in Mathematics 515, pp. 69-79. New York: Springer.
    • (1976) Bäcklund Transformations , pp. 69-79
    • Lamb Jr., G.L.1
  • 16
    • 0000594092 scopus 로고
    • A class of solutions to the Konopelchenko-Rogers equations
    • Nimmo, J. J. C. 1992b A class of solutions to the Konopelchenko-Rogers equations. Phys. Lett. A168, 113-119.
    • (1992) Phys. Lett. , vol.A168 , pp. 113-119
    • Nimmo, J.J.C.1
  • 18
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    • Squared eigenfunctions of the (modified) KP hierarchy and scattering problems of Loewner type
    • Oevel, W. & Schief, W. K. 1994 Squared eigenfunctions of the (modified) KP hierarchy and scattering problems of Loewner type. Rev. Math. Phys. 6, 1301-1338.
    • (1994) Rev. Math. Phys. , vol.6 , pp. 1301-1338
    • Oevel, W.1    Schief, W.K.2
  • 19
    • 21144471601 scopus 로고
    • On localized solitonic solutions of a (2+1)-dimensional sine-Gordon system
    • Schief, W. K. 1992a On localized solitonic solutions of a (2+1)-dimensional sine-Gordon system. J. Phys. A 25, L1351-L1354.
    • (1992) J. Phys. a , vol.25
    • Schief, W.K.1
  • 21
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    • On a (2 + 1)-dimensional Darboux system: Integrable reductions
    • Schief, W. K. 1994a On a (2 + 1)-dimensional Darboux system: integrable reductions. Inverse Problems 10, 1185-1198.
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  • 22
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    • On a (2 + 1)-dimensional integrable Ernst-type equation
    • Schief, W. K. 1994b On a (2 + 1)-dimensional integrable Ernst-type equation. Proc. R. Soc. Lond. A 446, 381-398.
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  • 24
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    • (ed. E. Alfinito, M. Boiti, L. Martina & F. Pempinelli), Singapore: World Scientific
    • Schief, W. K. & Rogers, C. 1996 The geometry of the LKR system. Application of a Laplace-Darboux-type transformation to Ernst-type equations. In Nonlinear physics. Theory and experiment (ed. E. Alfinito, M. Boiti, L. Martina & F. Pempinelli), pp. 305-312. Singapore: World Scientific.
    • (1996) Nonlinear Physics. Theory and Experiment , pp. 305-312
    • Schief, W.K.1    Rogers, C.2


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