메뉴 건너뛰기




Volumn 197, Issue 1, 2008, Pages 288-296

Generalized multiple Riccati equations rational expansion method with symbolic computation to construct exact complexiton solutions of nonlinear partial differential equations

Author keywords

(2 + 1) Dimensional Burgers equation; Complexiton solution; Generalized multiple Riccati equations rational expansion method; Symbolic computation

Indexed keywords

CODES (SYMBOLS); COMPUTATION THEORY; PARTIAL DIFFERENTIAL EQUATIONS; PROBLEM SOLVING; RICCATI EQUATIONS;

EID: 38949127273     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2007.07.050     Document Type: Article
Times cited : (6)

References (23)
  • 2
    • 0001157492 scopus 로고
    • Bäcklund transformations for solitons of the Korteweg-de Vriu equation
    • Wahlquist H.D., and Estabrook F.B. Bäcklund transformations for solitons of the Korteweg-de Vriu equation. Phys. Rev. Lett. 31 (1973) 1386
    • (1973) Phys. Rev. Lett. , vol.31 , pp. 1386
    • Wahlquist, H.D.1    Estabrook, F.B.2
  • 4
    • 0000092898 scopus 로고
    • Painleve analysis and Bäcklund transformation in the Kuramoto-Sivashinsky equation
    • Conte R., and Musette M. Painleve analysis and Bäcklund transformation in the Kuramoto-Sivashinsky equation. J. Phys. A: Math. Gen. 22 (1989) 169
    • (1989) J. Phys. A: Math. Gen. , vol.22 , pp. 169
    • Conte, R.1    Musette, M.2
  • 7
    • 18944400520 scopus 로고
    • New similarity reductions of Boussinesq equation
    • Clarkson P.A., and Kruskal M.D. New similarity reductions of Boussinesq equation. J. Math. Phys. 30 (1989) 2202
    • (1989) J. Math. Phys. , vol.30 , pp. 2202
    • Clarkson, P.A.1    Kruskal, M.D.2
  • 8
    • 0033241164 scopus 로고    scopus 로고
    • A new integrable Davey-Stewartson type equation
    • Maccari A. A new integrable Davey-Stewartson type equation. J. Math. Phys. 40 (1999) 3971
    • (1999) J. Math. Phys. , vol.40 , pp. 3971
    • Maccari, A.1
  • 9
    • 0001291912 scopus 로고    scopus 로고
    • Special solutions from variable separation approach: Davey-Stewartson equation
    • Lou S.Y., and Lu J.Z. Special solutions from variable separation approach: Davey-Stewartson equation. J. Phys. A: Math. Gen. 29 (1996) 4029
    • (1996) J. Phys. A: Math. Gen. , vol.29 , pp. 4029
    • Lou, S.Y.1    Lu, J.Z.2
  • 10
    • 0034606149 scopus 로고    scopus 로고
    • Extended tanh-function method and its applications to nonlinear equations
    • Fan E.G. Extended tanh-function method and its applications to nonlinear equations. Phys. Lett. A 277 (2000) 212
    • (2000) Phys. Lett. A , vol.277 , pp. 212
    • Fan, E.G.1
  • 11
    • 0039303470 scopus 로고    scopus 로고
    • Travelling wave solutions for two generalized Hirota-Satsuma KdV systems
    • Fan E.G. Travelling wave solutions for two generalized Hirota-Satsuma KdV systems. Z. Naturforsch. A 56 (2001) 312
    • (2001) Z. Naturforsch. A , vol.56 , pp. 312
    • Fan, E.G.1
  • 12
    • 0036692551 scopus 로고    scopus 로고
    • Generalized tanh method extended to special types of nonlinear equations
    • Fan E.G., and Hon Y.C. Generalized tanh method extended to special types of nonlinear equations. Z. Naturforsch. A 57 (2002) 692
    • (2002) Z. Naturforsch. A , vol.57 , pp. 692
    • Fan, E.G.1    Hon, Y.C.2
  • 13
    • 0035945332 scopus 로고    scopus 로고
    • New explicit travelling wave solutions for two new integrable coupled nonlinear evolution equations
    • Yan Z.Y. New explicit travelling wave solutions for two new integrable coupled nonlinear evolution equations. Phys. Lett. A 292 (2001) 100
    • (2001) Phys. Lett. A , vol.292 , pp. 100
    • Yan, Z.Y.1
  • 14
    • 0042635533 scopus 로고    scopus 로고
    • Explicit exact solutions for nonlinear approximate equations with long waves in shallow water
    • (in Chinese)
    • Yan Z.Y., and Zhang H.Q. Explicit exact solutions for nonlinear approximate equations with long waves in shallow water. Acta Phys. Sinica 48 (1999) 1962 (in Chinese)
    • (1999) Acta Phys. Sinica , vol.48 , pp. 1962
    • Yan, Z.Y.1    Zhang, H.Q.2
  • 15
    • 0037408913 scopus 로고    scopus 로고
    • Generalized method and its application in the higher-order nonlinear Schrödinger equation in nonlinear optical fibres
    • Yan Z.Y. Generalized method and its application in the higher-order nonlinear Schrödinger equation in nonlinear optical fibres. Chaos, Soliton. Fract. 16 (2003) 759
    • (2003) Chaos, Soliton. Fract. , vol.16 , pp. 759
    • Yan, Z.Y.1
  • 16
    • 0035620189 scopus 로고    scopus 로고
    • Multi-soliton solutions of the Konopelchenko-Dubrovsky equation
    • Lin J., Lou S.Y., and Wang K.L. Multi-soliton solutions of the Konopelchenko-Dubrovsky equation. Chin. Phys. Lett. 9 (2001) 1173
    • (2001) Chin. Phys. Lett. , vol.9 , pp. 1173
    • Lin, J.1    Lou, S.Y.2    Wang, K.L.3
  • 17
    • 14944375654 scopus 로고    scopus 로고
    • A new Riccati equation rational expansion method and its application
    • Chen Y., and Wang Q. A new Riccati equation rational expansion method and its application. Z. Naturforsch. 60a (2005) 1
    • (2005) Z. Naturforsch. , vol.60 a , pp. 1
    • Chen, Y.1    Wang, Q.2
  • 18
    • 17644415361 scopus 로고    scopus 로고
    • Elliptic equation rational expansion method and new exact travelling solutions for Whitham-Broer-Kaup equations
    • Chen Y., Wang Q., and Li B. Elliptic equation rational expansion method and new exact travelling solutions for Whitham-Broer-Kaup equations. Chaos Soliton. Fract. 26 (2005) 231
    • (2005) Chaos Soliton. Fract. , vol.26 , pp. 231
    • Chen, Y.1    Wang, Q.2    Li, B.3
  • 19
    • 18444379366 scopus 로고    scopus 로고
    • A new Riccati equation rational expansion method and its application to (2 + 1)-dimensional Burgers equation
    • Wang Q., Chen Y., and Zhang H.Q. A new Riccati equation rational expansion method and its application to (2 + 1)-dimensional Burgers equation. Chaos Soliton. Fract. 25 (2005) 1019
    • (2005) Chaos Soliton. Fract. , vol.25 , pp. 1019
    • Wang, Q.1    Chen, Y.2    Zhang, H.Q.3
  • 20
    • 33646162650 scopus 로고    scopus 로고
    • A multiple Riccati equations rational expansion method and novel solutions of the Broer-Kaup-Kupershmidt system
    • Wang Q., and Chen Y. A multiple Riccati equations rational expansion method and novel solutions of the Broer-Kaup-Kupershmidt system. Chaos Soliton. Fract. 30 (2006) 197
    • (2006) Chaos Soliton. Fract. , vol.30 , pp. 197
    • Wang, Q.1    Chen, Y.2
  • 21
    • 0037136277 scopus 로고    scopus 로고
    • Complexiton solutions to the Korteweg-de Vries equation
    • Ma W.X. Complexiton solutions to the Korteweg-de Vries equation. Phys. Lett. A 301 (2002) 35
    • (2002) Phys. Lett. A , vol.301 , pp. 35
    • Ma, W.X.1
  • 22
    • 41349099782 scopus 로고    scopus 로고
    • Interactions among periodic waves and solitary waves of the (n + 1)-dimensional sine-Gordon field
    • 604
    • Lou S.Y., Hu H.C., and Tang X.Y. Interactions among periodic waves and solitary waves of the (n + 1)-dimensional sine-Gordon field. Phys. Rev. E 71 (2005) 036 604
    • (2005) Phys. Rev. E , vol.71 , pp. 036
    • Lou, S.Y.1    Hu, H.C.2    Tang, X.Y.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.