메뉴 건너뛰기




Volumn 13, Issue 3, 2000, Pages 131-135

The r-Matrix structure of the restricted coupled AKNS-Kaup-Newell flow

Author keywords

Coupled akns kaup newell spectral problem; Nonlinearization of lax pair; R matrix; Soliton equation

Indexed keywords


EID: 0039248888     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0893-9659(99)00198-6     Document Type: Article
Times cited : (3)

References (16)
  • 1
    • 77952754614 scopus 로고
    • A generalization of inverse scattering method
    • M. Wadati, K. Konno and Y. Ichikawa, A generalization of inverse scattering method, J. Phy. Soc. Japan. 46 (6), 1965-1966, (1979).
    • (1979) J. Phy. Soc. Japan. , vol.46 , Issue.6 , pp. 1965-1966
    • Wadati, M.1    Konno, K.2    Ichikawa, Y.3
  • 2
    • 0011293516 scopus 로고
    • Coupled nonlinear evolution equation solvable via the inverse spectral transform, and solitons that come back: Booberon
    • F. Calogero and A. Degasperis, Coupled nonlinear evolution equation solvable via the inverse spectral transform, and solitons that come back: Booberon, Lett. Nuovo Cimento 16 (14), 425-433, (1976).
    • (1976) Lett. Nuovo Cimento , vol.16 , Issue.14 , pp. 425-433
    • Calogero, F.1    Degasperis, A.2
  • 3
    • 51249182682 scopus 로고
    • Solution by the spectral-transform method of a nonlinear evolution equation including as a special case the cylindrical KdV equation
    • F. Calogero and A. Degasperis, Solution by the spectral-transform method of a nonlinear evolution equation including as a special case the cylindrical KdV equation, Lett. Nuovo Cimento 23 (4), 150-154, (1978).
    • (1978) Lett. Nuovo Cimento , vol.23 , Issue.4 , pp. 150-154
    • Calogero, F.1    Degasperis, A.2
  • 4
    • 36749109491 scopus 로고
    • An exact solution for a derivative nonlinear Schrödinger equation
    • D.J. Kaup and A.C. Newell, An exact solution for a derivative nonlinear Schrödinger equation, J. Math. Phys. 19 (4), 798-801, (1978).
    • (1978) J. Math. Phys. , vol.19 , Issue.4 , pp. 798-801
    • Kaup, D.J.1    Newell, A.C.2
  • 6
    • 0009105078 scopus 로고    scopus 로고
    • The completely integrable systems of the complex form and the coupled AKNS-Kaup-Newell equation hierarchy
    • B.C. Zhang, The completely integrable systems of the complex form and the coupled AKNS-Kaup-Newell equation hierarchy, Ann. Diff. Eqs. 13 (4), 408-418, (1997).
    • (1997) Ann. Diff. Eqs. , vol.13 , Issue.4 , pp. 408-418
    • Zhang, B.C.1
  • 7
    • 0003058680 scopus 로고
    • Classical integrable systems generated through nonlinearization of eigenvalue problems
    • Shanghai 1989, Research Reports in Physics, Springer, Berlin
    • C.W. Cao and X.G. Geng, Classical integrable systems generated through nonlinearization of eigenvalue problems, In Proc. Conf. on Nonlinear Physics, (Shanghai 1989), Research Reports in Physics, pp. 66-78, Springer, Berlin, (1990).
    • (1990) Proc. Conf. on Nonlinear Physics , pp. 66-78
    • Cao, C.W.1    Geng, X.G.2
  • 8
    • 0001176461 scopus 로고
    • Nonlinearization of Lax system for AKNS hierarchy
    • C.W. Cao, Nonlinearization of Lax system for AKNS hierarchy, Sci. China Ser. A 33 (5), 528-536, (1990).
    • (1990) Sci. China Ser. A , vol.33 , Issue.5 , pp. 528-536
    • Cao, C.W.1
  • 9
    • 45149136807 scopus 로고
    • Constrained flows of integrable PDEs and bi-Hamiltonian structure of the gamier system
    • M. Antonowicz and S. Rauch-Wojciechowski, Constrained flows of integrable PDEs and bi-Hamiltonian structure of the Gamier system, Phys. Lett. A 147 (8-9), 455-462, (1990).
    • (1990) Phys. Lett. A , vol.147 , Issue.8-9 , pp. 455-462
    • Antonowicz, M.1    Rauch-Wojciechowski, S.2
  • 10
    • 0002796975 scopus 로고
    • An explicit symmetry constraint for the Lax pairs and the adjoint Lax pairs of AKNS systems
    • W.X. Ma and W. Stramp, An explicit symmetry constraint for the Lax pairs and the adjoint Lax pairs of AKNS systems, Phys. Lett. A 185 (3), 227-286, (1994).
    • (1994) Phys. Lett. A , vol.185 , Issue.3 , pp. 227-286
    • Ma, W.X.1    Stramp, W.2
  • 11
    • 0030288973 scopus 로고    scopus 로고
    • A 3 × 3 matrix spectral problem for AKNS hierarchy and its binary nonlinearization
    • W.X. Ma, B. Fuchssteiner and W. Oevel, A 3 × 3 matrix spectral problem for AKNS hierarchy and its binary nonlinearization, Physica A 233 (1-2), 331-354, (1996).
    • (1996) Physica A , vol.233 , Issue.1-2 , pp. 331-354
    • Ma, W.X.1    Fuchssteiner, B.2    Oevel, W.3
  • 12
    • 0031518253 scopus 로고    scopus 로고
    • The finite-band solution of Jaulent-Miodek equation
    • R.G. Zhou, The finite-band solution of Jaulent-Miodek equation, J. Math. Phys. 38 (5), 2335-2546, (1997).
    • (1997) J. Math. Phys. , vol.38 , Issue.5 , pp. 2335-2546
    • Zhou, R.G.1
  • 13
    • 0001530153 scopus 로고
    • Hamiltonian structures and Lax equations
    • O. Babelon and C.M. Villet, Hamiltonian structures and Lax equations, Phys. Lett. B 237, 411-416, (1990).
    • (1990) Phys. Lett. B , vol.237 , pp. 411-416
    • Babelon, O.1    Villet, C.M.2
  • 14
    • 0003016967 scopus 로고
    • The confocal involutive system and the integrability of the nonlinearized Lax systems of AKNS hierarchy
    • Shanghai 1989, Research Reports in Physics, Springer, Berlin
    • W.X. Ma, The confocal involutive system and the integrability of the nonlinearized Lax systems of AKNS hierarchy, In Proc. Conf. on Nonlinear Physics, (Shanghai 1989), Research Reports in Physics, pp. 79-84, Springer, Berlin, (1990).
    • (1990) Proc. Conf. on Nonlinear Physics , pp. 79-84
    • Ma, W.X.1
  • 15
    • 0039949186 scopus 로고    scopus 로고
    • r-matrices of constrained flows
    • Y.B. Zeng, r-matrices of constrained flows, Kexue Tongbao (Chinese) 41 (5), 389-391, (1996).
    • (1996) Kexue Tongbao (Chinese) , vol.41 , Issue.5 , pp. 389-391
    • Zeng, Y.B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.