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Volumn 168, Issue 2, 2005, Pages 823-847

Symbolic computation and families of Jacobi elliptic function solutions of the (2 + 1)-dimensional Nizhnik-Novikov-Veselov equation

Author keywords

Further improved F expansion method; Jacobi elliptic function solution; Symbolic computation; The (2 + 1) dimensional Nizhnik Novikov Veselov equations

Indexed keywords

CHAOS THEORY; FUNCTIONS; PARTIAL DIFFERENTIAL EQUATIONS;

EID: 26044441346     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2004.09.051     Document Type: Article
Times cited : (14)

References (24)
  • 10
    • 0034384726 scopus 로고    scopus 로고
    • The HirotaCSatsuma coupled KdV equation and a coupled Ito system revisited
    • H.W. Tam, W.X. Ma, X.B. Hu, and D.L. Wang The HirotaCSatsuma coupled KdV equation and a coupled Ito system revisited J. Phys. Soc. Jpn. 69 2000 45 51
    • (2000) J. Phys. Soc. Jpn. , vol.69 , pp. 45-51
    • Tam, H.W.1    Ma, W.X.2    Hu, X.B.3    Wang, D.L.4
  • 12
    • 0035981969 scopus 로고    scopus 로고
    • Algebro-geometric solution of the (2 + 1) dimensional Burgers equation with a discrete variable
    • C.W. Cao, X.G. Geng, and H.Y. Wang Algebro-geometric solution of the (2 + 1) dimensional Burgers equation with a discrete variable J. Math. Phys. 43 2002 621
    • (2002) J. Math. Phys. , vol.43 , pp. 621
    • Cao, C.W.1    Geng, X.G.2    Wang, H.Y.3
  • 13
    • 0001229736 scopus 로고
    • Solitary wave solutions of nonlinear wave equations
    • W. Malfliet Solitary wave solutions of nonlinear wave equations J. Phys. 60 1992 650
    • (1992) J. Phys. , vol.60 , pp. 650
    • Malfliet, W.1
  • 14
    • 0042237020 scopus 로고    scopus 로고
    • Soliton solutions and doubly periodic wave solutions for a new generalized HirotaCSatsuma coupled system
    • Y.C. Hon, and E. Fan Soliton solutions and doubly periodic wave solutions for a new generalized HirotaCSatsuma coupled system Appl. Math. and Comp. 146 2003 813 827
    • (2003) Appl. Math. and Comp. , vol.146 , pp. 813-827
    • Hon, Y.C.1    Fan, E.2
  • 15
    • 1842581473 scopus 로고    scopus 로고
    • The extended F-expansion method and exact solutions of nonlinear PDEs
    • J.b. Liu, and K.q. Yang The extended F-expansion method and exact solutions of nonlinear PDEs Chaos, Solitons and Fractals 22 2004 111
    • (2004) Chaos, Solitons and Fractals , vol.22 , pp. 111
    • Liu, J.B.1    Yang, K.Q.2
  • 16
    • 0034693656 scopus 로고    scopus 로고
    • On the coherent structures of the Nizhnik-Novikov-Veselov equation
    • Sen-y. Lou On the coherent structures of the Nizhnik-Novikov-Veselov equation Phys. Lett. A 277 2000 94 100
    • (2000) Phys. Lett. A , vol.277 , pp. 94-100
    • Lou, S.-Y.1
  • 17
    • 3042570087 scopus 로고    scopus 로고
    • New Explicit and Exact Solutions for the Nizhnik-Novikov-Vesselov equation
    • T.-C. Xia, B. Li, and H.-q. Zh New Explicit and Exact Solutions for the Nizhnik-Novikov-Vesselov equation Appl. Math. E-Notes 1 2001 139 142
    • (2001) Appl. Math. E-Notes , vol.1 , pp. 139-142
    • Xia, T.-C.1    Li, B.2    Zh, H.-Q.3
  • 18
    • 0037545461 scopus 로고    scopus 로고
    • Abundant families of Jacobi elliptic function solutions of the (2 + 1)-dimensional integrable Davey-Stewartson-type equation via a new method
    • Zh.y. Yan Abundant families of Jacobi elliptic function solutions of the (2 + 1)-dimensional integrable Davey-Stewartson-type equation via a new method Chaos, Solitons and Fractals 18 2003 299 309
    • (2003) Chaos, Solitons and Fractals , vol.18 , pp. 299-309
    • Yan, Zh.Y.1
  • 22
    • 21344484017 scopus 로고
    • Nonlinear superposition formula of the Novikov-Veselov equation
    • X.-b. Hu Nonlinear superposition formula of the Novikov-Veselov equation J. Phys. A: Math. Gen. 27 1994 1331
    • (1994) J. Phys. A: Math. Gen. , vol.27 , pp. 1331
    • Hu, X.-B.1
  • 23
    • 0035828886 scopus 로고    scopus 로고
    • Jacobi elliptic function expansion method and periodic wave solutions of nonlinear wave equations
    • S.K. Liu, Z.T. Fu, S.D. Liu, and Q. Zhao Jacobi elliptic function expansion method and periodic wave solutions of nonlinear wave equations Phys. Lett. A 289 2001 69
    • (2001) Phys. Lett. A , vol.289 , pp. 69
    • Liu, S.K.1    Fu, Z.T.2    Liu, S.D.3    Zhao, Q.4
  • 24
    • 0035813363 scopus 로고    scopus 로고
    • New Jacobi elliptic function expansion and new periodic solutions of nonlinear wave equations
    • Z.T. Fu, S.K. Liu, S.D. Liu, and Q. Zhao New Jacobi elliptic function expansion and new periodic solutions of nonlinear wave equations Phys. Lett. A 290 2001 72
    • (2001) Phys. Lett. A , vol.290 , pp. 72
    • Fu, Z.T.1    Liu, S.K.2    Liu, S.D.3    Zhao, Q.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.