메뉴 건너뛰기




Volumn 2, Issue , 2006, Pages

Hamiltonian flows of curves in G/SO(N) and vector soliton equations of mKdV and sine-gordon type

Author keywords

bi Hamiltonian; Curve flow; mKdV map; Recursion operator; Schr dinger map; Soliton equation; Symmetric space; Wave map

Indexed keywords


EID: 84889235405     PISSN: None     EISSN: 18150659     Source Type: Journal    
DOI: 10.3842/SIGMA.2006.044     Document Type: Article
Times cited : (36)

References (31)
  • 1
    • 0242298094 scopus 로고    scopus 로고
    • Conservation laws of scaling-invariant field equations
    • math-ph/0303066
    • Anco S.C., Conservation laws of scaling-invariant field equations, J. Phys. A: Math. Gen., 2003, V.36, 8623-8638, math-ph/0303066.
    • (2003) J. Phys. A: Math. Gen. , vol.36 , pp. 8623-8638
    • Anco, S.C.1
  • 2
    • 32944467597 scopus 로고    scopus 로고
    • Bi-Hamiltonian operators, integrable flows of curves using moving frames, and geometric mapequations
    • nlin.SI/0512051
    • Anco S.C., Bi-Hamiltonian operators, integrable flows of curves using moving frames, and geometric mapequations, J. Phys. A: Math. Gen., 2006, V.39, 2043-2072, nlin.SI/0512051.
    • (2006) J. Phys. A: Math. Gen. , vol.39 , pp. 2043-2072
    • Anco, S.C.1
  • 3
    • 85043045150 scopus 로고    scopus 로고
    • note
    • Anco S.C., in preparation.
  • 4
    • 85043063423 scopus 로고    scopus 로고
    • note
    • Anco S.C., Wang J.-P., in preparation.
  • 5
    • 30444441671 scopus 로고    scopus 로고
    • Some symmetry classifications of hyperbolic vector evolution equations
    • Anco S.C., Wolf T., Some symmetry classifications of hyperbolic vector evolution equations, J. Nonlinear Math. Phys., 2005, V.12, suppl. 1, 13-31.
    • (2005) J. Nonlinear Math. Phys. , vol.12 , Issue.SUPPL. 1 , pp. 13-31
    • Anco, S.C.1    Wolf, T.2
  • 6
    • 30444443604 scopus 로고    scopus 로고
    • Erratum, nlin.SI/0412015
    • Erratum, J. Nonlinear Math. Phys., 2005, V.12, 607-608, nlin.SI/0412015.
    • (2005) J. Nonlinear Math. Phys. , vol.12 , pp. 607-608
  • 7
    • 36149028944 scopus 로고
    • Generalised KdV and mKdV equations associated with symmetric spaces
    • Athorne C., Fordy A., Generalised KdV and mKdV equations associated with symmetric spaces, J. Phys. A:Math. Gen., 1987, V.20, 1377-1386.
    • (1987) J. Phys. A:Math. Gen. , vol.20 , pp. 1377-1386
    • Athorne, C.1    Fordy, A.2
  • 8
    • 36149028354 scopus 로고
    • Local Hamiltonian structures of multicomponent KdV equations
    • Athorne C., Local Hamiltonian structures of multicomponent KdV equations, J. Phys. A: Math. Gen., 1988, V.21, 4549-4556.
    • (1988) J. Phys. A: Math. Gen. , vol.21 , pp. 4549-4556
    • Athorne, C.1
  • 9
    • 0042134462 scopus 로고    scopus 로고
    • Lagrangian formulation of symmetric space sine-Gordon models
    • hep-th/9512030
    • Bakas I., Park Q.-H., Shin H.-J., Lagrangian formulation of symmetric space sine-Gordon models, Phys.Lett. B, 1996, V.372, 45-52, hep-th/9512030.
    • (1996) Phys.Lett. B , vol.372 , pp. 45-52
    • Bakas, I.1    Park, Q.-H.2    Shin, H.-J.3
  • 10
    • 0001105208 scopus 로고
    • There is more than one way to frame a curve
    • Bishop R., There is more than one way to frame a curve, Amer. Math. Monthly, 1975, V.82, 246-251.
    • (1975) Amer. Math. Monthly , vol.82 , pp. 246-251
    • Bishop, R.1
  • 11
    • 0036467962 scopus 로고    scopus 로고
    • Integrable equations arising from motions of plane curves
    • Chou K.-S., Qu C., Integrable equations arising from motions of plane curves, Phys. D, 2002, V.162, 9-33.
    • (2002) Phys. D , vol.162 , pp. 9-33
    • Chou, K.-S.1    Qu, C.2
  • 12
    • 0036643124 scopus 로고    scopus 로고
    • Integrable motion of space curves in affine geometry
    • Chou K.-S., Qu C., Integrable motion of space curves in affine geometry, Chaos Solitons Fractals, 2002, V.14, 29-44.
    • (2002) Chaos Solitons Fractals , vol.14 , pp. 29-44
    • Chou, K.-S.1    Qu, C.2
  • 13
    • 84867946808 scopus 로고    scopus 로고
    • Integrable equations arising from motions of plane curves. II
    • Chou K.-S., Qu C., Integrable equations arising from motions of plane curves. II, J. Nonlinear Sci., 2003, V.13, 487-517.
    • (2003) J. Nonlinear Sci. , vol.13 , pp. 487-517
    • Chou, K.-S.1    Qu, C.2
  • 14
    • 0038789009 scopus 로고    scopus 로고
    • Motion of curves in similarity geometries and Burgers-mKdV hierarchies
    • Chou K.-S., Qu C., Motion of curves in similarity geometries and Burgers-mKdV hierarchies, Chaos Solitons Fractals, 2004, V.19, 47-53.
    • (2004) Chaos Solitons Fractals , vol.19 , pp. 47-53
    • Chou, K.-S.1    Qu, C.2
  • 16
    • 0034345883 scopus 로고    scopus 로고
    • Classification of certain integrable coupled potential KdV and modified KdV-type equations
    • Foursov M.V., Classification of certain integrable coupled potential KdV and modified KdV-type equations, J. Math. Phys., 2000, V.41, 6173-6185.
    • (2000) J. Math. Phys. , vol.41 , pp. 6173-6185
    • Foursov, M.V.1
  • 17
    • 0013237518 scopus 로고    scopus 로고
    • Differential geometry, Lie groups, and symmetric spaces, Providence
    • Helgason S., Differential geometry, Lie groups, and symmetric spaces, Providence, Amer. Math. Soc., 2001.
    • (2001) Amer. Math. Soc
    • Helgason, S.1
  • 20
    • 36749106746 scopus 로고
    • Reduction of the two-dimensional O(n) nonlinear σ-model
    • Pohlmeyer K., Rehren K.-H., Reduction of the two-dimensional O(n) nonlinear σ-model, J. Math. Phys.,1979, V.20, 2628-2632.
    • (1979) J. Math. Phys. , vol.20 , pp. 2628-2632
    • Pohlmeyer, K.1    Rehren, K.-H.2
  • 21
    • 0013097341 scopus 로고    scopus 로고
    • Integrable systems in three-dimensional Riemannian geometry
    • Mari Beffa G., Sanders J., Wang J.-P., Integrable systems in three-dimensional Riemannian geometry, J. Nonlinear Sci., 2002, V.12, 143-167.
    • (2002) J. Nonlinear Sci. , vol.12 , pp. 143-167
    • Mari Beffa, G.1    Sanders, J.2    Wang, J.-P.3
  • 22
    • 29544443226 scopus 로고    scopus 로고
    • Integrable systems in n dimensional Riemannian geometry
    • Sanders J., Wang J.-P., Integrable systems in n dimensional Riemannian geometry, Mosc. Math. J., 2003, V.3, 1369-1393.
    • (2003) Mosc. Math. J. , vol.3 , pp. 1369-1393
    • Sanders, J.1    Wang, J.-P.2
  • 24
    • 84889237025 scopus 로고    scopus 로고
    • The structure of cosymmetries and a simple proof of locality for hierarchies of symmetries ofodd order evolution equations, in Proceedings of Fifth International Conference "Symmetry in Nonlinear Mathematical Physics" (June 23-29, 2003, Kyiv)
    • Editors A.G. Nikitin, V.M. Boyko, R.O. Popovych andI.A. Yehorchenko
    • Sergyeyev A., The structure of cosymmetries and a simple proof of locality for hierarchies of symmetries ofodd order evolution equations, in Proceedings of Fifth International Conference "Symmetry in Nonlinear Mathematical Physics" (June 23-29, 2003, Kyiv), Editors A.G. Nikitin, V.M. Boyko, R.O. Popovych andI.A. Yehorchenko, Proceedings of Institute of Mathematics, Kyiv, 2004, V.50, Part 1, 238-245.
    • (2004) Proceedings of Institute of Mathematics, Kyiv , vol.50 , Issue.PART 1 , pp. 238-245
    • Sergyeyev, A.1
  • 25
    • 24144500759 scopus 로고    scopus 로고
    • Why nonlocal recursion operators produce local symmetries: New results and applications
    • nlin.SI/0410049
    • Sergyeyev A., Why nonlocal recursion operators produce local symmetries: new results and applications, J. Phys. A: Math. Gen., 2005, V.38, 3397-3407, nlin.SI/0410049.
    • (2005) J. Phys. A: Math. Gen. , vol.38 , pp. 3397-3407
    • Sergyeyev, A.1
  • 28
    • 0035862017 scopus 로고    scopus 로고
    • Classification of integrable vector polynomial evolution equations
    • Sokolov V.V., Wolf T., Classification of integrable vector polynomial evolution equations, J. Phys. A: Math.Gen., 2001, V.34, 11139-11148.
    • (2001) J. Phys. A: Math.Gen. , vol.34 , pp. 11139-11148
    • Sokolov, V.V.1    Wolf, T.2
  • 29
    • 24144447013 scopus 로고    scopus 로고
    • Classification of polynomial integrable systems of mixed scalar and vector evolutionequations. I
    • nlin.SI/0412003
    • Tsuchida T., Wolf T., Classification of polynomial integrable systems of mixed scalar and vector evolutionequations. I, J. Phys. A: Math. Gen., 2005, V.38, 7691-7733, nlin.SI/0412003.
    • (2005) J. Phys. A: Math. Gen. , vol.38 , pp. 7691-7733
    • Tsuchida, T.1    Wolf, T.2
  • 31
    • 2042467083 scopus 로고    scopus 로고
    • Generalized Hasimoto transformation and vector sine-Gordon equation
    • Editors S. Abenda, G. Gaeta and S. Walcher, River Edge, NJ, World Scientific
    • Wang J.-P., Generalized Hasimoto transformation and vector sine-Gordon equation, in SPT 2002: Symmetryand Perturbation Theory (Cala Gonone), Editors S. Abenda, G. Gaeta and S. Walcher, River Edge, NJ, World Scientific, 2002, 276-283.
    • (2002) SPT 2002: Symmetryand Perturbation Theory (Cala Gonone) , pp. 276-283
    • Wang, J.-P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.