메뉴 건너뛰기




Volumn 34, Issue 49, 2001, Pages 11139-11148

Classification of integrable polynomial vector evolution equations

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0035862017     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/34/49/327     Document Type: Article
Times cited : (55)

References (29)
  • 1
    • 0001482317 scopus 로고
    • Classification of integrable evolution equations
    • Sokolov V V and Shabat AB 1984 Classification of integrable evolution equations Sov. Sci. Rev. C 4 221
    • (1984) Sov. Sci. Rev. C , vol.4 , pp. 221
    • Sokolov, V.V.1    Shabat, A.B.2
  • 2
    • 33947180234 scopus 로고
    • The symmetry approach to the classification of non-linear equations. Complete lists of integrable systems
    • Mikhailov A V, Shabat A B and Yamilov R I 1987 The symmetry approach to the classification of non-linear equations. Complete lists of integrable systems Russ. Math. Surv. 42 1
    • (1987) Russ. Math. Surv. , vol.42 , pp. 1
    • Mikhailov, A.V.1    Shabat, A.B.2    Yamilov, R.I.3
  • 3
    • 0023542072 scopus 로고
    • Symmetries and integrability
    • Fokas A S 1987 Symmetries and integrability Stud. Appl. Math. 77 253
    • (1987) Stud. Appl. Math. , vol.77 , pp. 253
    • Fokas, A.S.1
  • 5
    • 0041046840 scopus 로고
    • Evolutionary equations with nontrivial Lie-Bäcklund algebra
    • Ibragimov N Kh and Shabat A B 1980 Evolutionary equations with nontrivial Lie-Bäcklund algebra Funct. Anal. Appl. 14 19
    • (1980) Funct. Anal. Appl. , vol.14 , pp. 19
    • Ibragimov, N.Kh.1    Shabat, A.B.2
  • 6
    • 36749119273 scopus 로고
    • A symmetry approach to exactly solvable evolution equations
    • Fokas A S 1980 A symmetry approach to exactly solvable evolution equations J. Math. Phys. 21 1318
    • (1980) J. Math. Phys. , vol.21 , pp. 1318
    • Fokas, A.S.1
  • 7
    • 0001514810 scopus 로고
    • Vector-matrix generalizations of classical integrable equations
    • Sokolov V V and Svinolupov SI 1994 Vector-matrix generalizations of classical integrable equations Theor. Math. Phys. 100 959
    • (1994) Theor. Math. Phys. , vol.100 , pp. 959
    • Sokolov, V.V.1    Svinolupov, S.I.2
  • 8
    • 0000916049 scopus 로고
    • Jordan algebras and generalized KdV equations
    • Svinolupov S I 1991 Jordan algebras and generalized KdV equations Teor. Mat. Fiz. 87 391
    • (1991) Teor. Mat. Fiz. , vol.87 , pp. 391
    • Svinolupov, S.I.1
  • 9
    • 0000470791 scopus 로고
    • Generalized Schrödinger equations and Jordan pairs
    • Svinolupov S I 1992 Generalized Schrödinger equations and Jordan pairs Commun. Math. Phys. 143 559
    • (1992) Commun. Math. Phys. , vol.143 , pp. 559
    • Svinolupov, S.I.1
  • 10
    • 0040440025 scopus 로고
    • Jordan algebras and integrable systems
    • Svinolupov S I 1993 Jordan algebras and integrable systems Funct. Analiz Pril. 27 40
    • (1993) Funct. Analiz Pril. , vol.27 , pp. 40
    • Svinolupov, S.I.1
  • 11
    • 0041112879 scopus 로고    scopus 로고
    • Deformations of Jordan triple systems and integrable equations
    • Sokolov V V and Svinolupov S I 1996 Deformations of Jordan triple systems and integrable equations Theor. Math. Phys. 108 1160
    • (1996) Theor. Math. Phys. , vol.108 , pp. 1160
    • Sokolov, V.V.1    Svinolupov, S.I.2
  • 13
    • 36149028944 scopus 로고
    • Generalised KdV and MKdV equations associated with symmetric spaces
    • Athorne C and Fordy A P 1987 Generalised KdV and MKdV equations associated with symmetric spaces J. Phys. A: Math. Gen. 20 1377
    • (1987) J. Phys. A: Math. Gen. , vol.20 , pp. 1377
    • Athorne, C.1    Fordy, A.P.2
  • 14
    • 0039405439 scopus 로고
    • O(N)-invariant nonlinear Schrodinger equation - A new completely integrable system
    • Kulish P P and Sklyanin E K 1981 O(N)-invariant nonlinear Schrodinger equation - a new completely integrable system Phys. Lett. A 84 349
    • (1981) Phys. Lett. A , vol.84 , pp. 349
    • Kulish, P.P.1    Sklyanin, E.K.2
  • 15
    • 0001680501 scopus 로고
    • On theory of two-dimensional self-focussing of electromagnetic waves
    • Manakov S V 1973 On theory of two-dimensional self-focussing of electromagnetic waves Zh Eksp Teor. Fiz. 65 505
    • (1973) Zh Eksp Teor. Fiz. , vol.65 , pp. 505
    • Manakov, S.V.1
  • 16
    • 0001445382 scopus 로고    scopus 로고
    • On the integrability of homogeneous scalar evolution equations
    • Sanders J A and Wang J P 1998 On the integrability of homogeneous scalar evolution equations J. Differ. Equ. 147 410
    • (1998) J. Differ. Equ. , vol.147 , pp. 410
    • Sanders, J.A.1    Wang, J.P.2
  • 17
    • 0032478456 scopus 로고    scopus 로고
    • Integrable evolution equations on associative algebras
    • Olver P J and Sokolov V V 1998 Integrable evolution equations on associative algebras Commun. Math. Phvs 193245
    • (1998) Commun. Math. Phvs , vol.193 , pp. 245
    • Olver, P.J.1    Sokolov, V.V.2
  • 18
    • 0004274515 scopus 로고    scopus 로고
    • Classification of integrable one-component systems on associative algebras
    • Olver P J and Wang J P 2000 Classification of integrable one-component systems on associative algebras Proc. Lond. Math. Soc. 81 566
    • (2000) Proc. Lond. Math. Soc. , vol.81 , pp. 566
    • Olver, P.J.1    Wang, J.P.2
  • 20
    • 0000903345 scopus 로고    scopus 로고
    • The program CRACK for solving PDEs in general relativity
    • ed F W Hehl, R A Puntigam and H Ruder (Berlin: Springer)
    • Wolf T 1996 The program CRACK for solving PDEs in general relativity Relativity and Scientific Computing ed F W Hehl, R A Puntigam and H Ruder (Berlin: Springer) pp 241-57
    • (1996) Relativity and Scientific Computing , pp. 241-257
    • Wolf, T.1
  • 21
    • 0039997445 scopus 로고    scopus 로고
    • Size reduction and partial decoupling of systems of equations
    • University of London (J. Symb. Comput. at press)
    • Wolf T 1999 Size reduction and partial decoupling of systems of equations QMW-preprint University of London (J. Symb. Comput. at press)
    • (1999) QMW-preprint
    • Wolf, T.1
  • 22
    • 0009939882 scopus 로고    scopus 로고
    • A symmetry test for quasilinear coupled systems
    • Sokolov V V and Wolf T 1999 A symmetry test for quasilinear coupled systems Inverse Problems 15 L5
    • (1999) Inverse Problems , vol.15
    • Sokolov, V.V.1    Wolf, T.2
  • 24
    • 3042646755 scopus 로고    scopus 로고
    • On the integrability of systems of second order evolution equations with two components
    • submitted
    • Sanders J A and Wang J P On the integrability of systems of second order evolution equations with two components J. Differ. Eqn. submitted
    • J. Differ. Eqn.
    • Sanders, J.A.1    Wang, J.P.2
  • 25
    • 0000030166 scopus 로고    scopus 로고
    • New integrable systems of derivative nonlinear Schrödinger equations with multiple components
    • Tsuchida T and Wadati M 1999 New integrable systems of derivative nonlinear Schrödinger equations with multiple components Phys. Lett. A 257 53
    • (1999) Phys. Lett. A , vol.257 , pp. 53
    • Tsuchida, T.1    Wadati, M.2
  • 26
    • 0034644480 scopus 로고    scopus 로고
    • Symmetrically coupled higher-order nonlinear Schrödinger equations: Singularity analysis and integrability
    • Sakovich S Yu and Tsuchida T 2000 Symmetrically coupled higher-order nonlinear Schrödinger equations: singularity analysis and integrability J. Phys. A: Math. Gen. 33 7217
    • (2000) J. Phys. A: Math. Gen. , vol.33 , pp. 7217
    • Sakovich, S.Yu.1    Tsuchida, T.2
  • 27
    • 0002775872 scopus 로고    scopus 로고
    • Non-Abelian integrable systems of the derivative nonlinear Schrödinger type
    • Olver P J and Sokolov V V 1998 Non-Abelian integrable systems of the derivative nonlinear Schrödinger type Inverse Problems 14 L5
    • (1998) Inverse Problems , vol.14
    • Olver, P.J.1    Sokolov, V.V.2
  • 28
    • 0001842823 scopus 로고
    • A coupled Korteweg-de Vries equation with dispersion
    • Kupershmidt B A 1985 A coupled Korteweg-de Vries equation with dispersion J. Phys. A: Math. Gen. 18 L571
    • (1985) J. Phys. A: Math. Gen. , vol.18
    • Kupershmidt, B.A.1
  • 29
    • 34250120087 scopus 로고
    • Lie algebras and equations of Korteweg de Vries type
    • Drinfeld V G and Sokolov V V 1985 Lie algebras and equations of Korteweg de Vries type J. Sov. Math. 30 1975
    • (1985) J. Sov. Math. , vol.30 , pp. 1975
    • Drinfeld, V.G.1    Sokolov, V.V.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.