메뉴 건너뛰기




Volumn 41, Issue 9, 2000, Pages 6173-6185

Classification of certain integrable coupled potential KdV and modified KdV-type equations

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0034345883     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1287643     Document Type: Article
Times cited : (32)

References (24)
  • 1
    • 0002318306 scopus 로고
    • The symmetry approach to classification of integrable equations
    • edited by V. E. Zakharov (Springer-Verlag, Berlin)
    • A. V. Mikhailov, A. B. Shabat, and V. V. Sokolov, "The symmetry approach to classification of integrable equations," in What is Integrability?, edited by V. E. Zakharov (Springer-Verlag, Berlin, 1991), pp. 115-184.
    • (1991) What is Integrability? , pp. 115-184
    • Mikhailov, A.V.1    Shabat, A.B.2    Sokolov, V.V.3
  • 2
    • 33947180234 scopus 로고
    • The symmetry approach to the classification of nonlinear equations. Complete lists of integrable systems
    • A. V. Mikhailov, A. B. Shabat, and R. I. Yamilov, "The symmetry approach to the classification of nonlinear equations. Complete lists of integrable systems," Russ. Math. Surveys 42, 1-63 (1987).
    • (1987) Russ. Math. Surveys , vol.42 , pp. 1-63
    • Mikhailov, A.V.1    Shabat, A.B.2    Yamilov, R.I.3
  • 3
    • 0000338481 scopus 로고
    • Why are certain nonlinear PDEs both widely applicable and integrable?
    • edited by V. E. Zakharov (Springer-Verlag, Berlin)
    • F. Calogero, "Why are certain nonlinear PDEs both widely applicable and integrable?." in What is Integrability?, edited by V. E. Zakharov (Springer-Verlag, Berlin, 1991), pp. 1-62.
    • (1991) What is Integrability? , pp. 1-62
    • Calogero, F.1
  • 4
    • 0001292378 scopus 로고    scopus 로고
    • On integrable coupled KdV-type systems
    • M. V. Foursov, "On integrable coupled KdV-type systems," Inverse Probl. 16, 259-274 (2000).
    • (2000) Inverse Probl. , vol.16 , pp. 259-274
    • Foursov, M.V.1
  • 5
    • 0034679391 scopus 로고    scopus 로고
    • On integrable coupled burgers-type equations
    • M. V. Foursov, "On integrable coupled Burgers-type equations," Phys. Lett. A 272, 57-64 (2000).
    • (2000) Phys. Lett. A , vol.272 , pp. 57-64
    • Foursov, M.V.1
  • 6
    • 14944339642 scopus 로고
    • Nonlinear evolution equations of physical significance
    • M. J. Ablowitz, D. J. Kaup, A. C. Newell, and H. Segur, "Nonlinear evolution equations of physical significance," Phys. Rev. Lett. 31, 125-127 (1973).
    • (1973) Phys. Rev. Lett. , vol.31 , pp. 125-127
    • Ablowitz, M.J.1    Kaup, D.J.2    Newell, A.C.3    Segur, H.4
  • 8
    • 0024879690 scopus 로고
    • Nonlinear wave propagation in micropolar media. I. The general theory
    • S. Erbay and E. S. Şuhubi, "Nonlinear wave propagation in micropolar media. I. The general theory," Int. J. Eng. Sci. 27, 895-914 (1989).
    • (1989) Int. J. Eng. Sci. , vol.27 , pp. 895-914
    • Erbay, S.1    Şuhubi, E.S.2
  • 9
    • 0024940448 scopus 로고
    • Nonlinear wave propagation in micropolar media. Ii. Special cases, solitary waves and painlevé analysis
    • S. Erbay and E. S. Şuhubi, "Nonlinear wave propagation in micropolar media. II. Special cases, solitary waves and Painlevé analysis," Int. J. Eng. Sci. 27, 915-917 (1989).
    • (1989) Int. J. Eng. Sci. , vol.27 , pp. 915-917
    • Erbay, S.1    Şuhubi, E.S.2
  • 10
    • 21844508960 scopus 로고
    • Exact solutions of the complex modified Korteweg-de Vries equation
    • A. A. Mohammad and M. Can, "Exact solutions of the complex modified Korteweg-de Vries equation," J. Phys. A 28, 3223-3233 (1995).
    • (1995) J. Phys. A , vol.28 , pp. 3223-3233
    • Mohammad, A.A.1    Can, M.2
  • 11
    • 0040440025 scopus 로고
    • Jordan algebras and integrable systems
    • S. I. Svinolupov, "Jordan algebras and integrable systems." Funct. Anal. Appl. 27, 257-265 (1993).
    • (1993) Funct. Anal. Appl. , vol.27 , pp. 257-265
    • Svinolupov, S.I.1
  • 12
    • 0031515070 scopus 로고    scopus 로고
    • Soliton solutions of a coupled modified KdV equations
    • M. Iwao and R. Hirota, "Soliton solutions of a coupled modified KdV equations," J. Phys. Soc. Jpn. 66, 577-588 (1997).
    • (1997) J. Phys. Soc. Jpn. , vol.66 , pp. 577-588
    • Iwao, M.1    Hirota, R.2
  • 13
    • 0002051881 scopus 로고
    • The involutive representation of the solution for the coupled burgers-MKdV equation
    • B. C. Zhang and Z. Q. Gu, "The involutive representation of the solution for the coupled Burgers-MKdV equation," Ann. Diff. Eqs. 10, 82-88 (1994).
    • (1994) Ann. Diff. Eqs. , vol.10 , pp. 82-88
    • Zhang, B.C.1    Gu, Z.Q.2
  • 14
    • 0001445382 scopus 로고    scopus 로고
    • On the integrability of homogeneous scalar evolution equations
    • J. A. Sanders and J. P. Wang, "On the integrability of homogeneous scalar evolution equations," J. Diff. Eqns. 147, 410-434 (1998).
    • (1998) J. Diff. Eqns. , vol.147 , pp. 410-434
    • Sanders, J.A.1    Wang, J.P.2
  • 16
    • 0032478456 scopus 로고    scopus 로고
    • Integrable evolution equations on associative algebras
    • P. J. Olver and V. V. Sokolov, "Integrable evolution equations on associative algebras," Commun. Math. Phys. 193, 245-268 (1998).
    • (1998) Commun. Math. Phys. , vol.193 , pp. 245-268
    • Olver, P.J.1    Sokolov, V.V.2
  • 17
    • 0002775872 scopus 로고    scopus 로고
    • Non-abelian integrable systems of the derivative nonlinear schrödnger type
    • P. J. Olver and V. V. Sokolov, "Non-abelian integrable systems of the derivative nonlinear Schrödnger type," Inverse Probl. 14, L5-L8 (1998).
    • (1998) Inverse Probl. , vol.14
    • Olver, P.J.1    Sokolov, V.V.2
  • 20
    • 0001279175 scopus 로고    scopus 로고
    • One symmetry does not imply integrability
    • F. Beukers, J. A. Sanders, and J. P. Wang, "One symmetry does not imply integrability," J. Diff. Eqns. 146, 251-260 (1998).
    • (1998) J. Diff. Eqns. , vol.146 , pp. 251-260
    • Beukers, F.1    Sanders, J.A.2    Wang, J.P.3
  • 21
    • 0023542072 scopus 로고
    • Symmetries and integrability
    • A. S. Fokas, "Symmetries and integrability," Stud. Appl. Math. 77. 253-299 (1987).
    • (1987) Stud. Appl. Math. , vol.77 , pp. 253-299
    • Fokas, A.S.1
  • 22
    • 0003831774 scopus 로고    scopus 로고
    • Almost integrable evolution equations
    • Vrije Universiteit Amsterdam
    • P. H. van der Kamp and J. A. Sanders, "Almost integrable evolution equations," Technical Report WS 531, Vrije Universiteit Amsterdam (1999).
    • (1999) Technical Report WS , vol.531
    • Van Der Kamp, P.H.1    Sanders, J.A.2
  • 23
    • 0001732956 scopus 로고
    • Symmetries and conservation laws of a coupled nonlinear wave equation
    • M. Ito, "Symmetries and conservation laws of a coupled nonlinear wave equation," Phys. Lett. A 91, 335-338 (1982).
    • (1982) Phys. Lett. A , vol.91 , pp. 335-338
    • Ito, M.1
  • 24
    • 36749117832 scopus 로고
    • A simple model of the integrable hamiltonian equation
    • F. Magri, "A simple model of the integrable Hamiltonian equation," J. Math. Phys. 19, 1156-1162 (1978).
    • (1978) J. Math. Phys. , vol.19 , pp. 1156-1162
    • Magri, F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.