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Volumn 2, Issue 2, 2008, Pages 242-255

An extended subequation rational expansion method with symbolic computation and solutions of the nonlinear Schrödinger equation model

Author keywords

Like periodic function solution; Like solitons; Schr dinger equation; Subequation rational expansion method

Indexed keywords


EID: 40949140530     PISSN: 1751570X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nahs.2006.04.008     Document Type: Article
Times cited : (10)

References (35)
  • 4
    • 0037821752 scopus 로고    scopus 로고
    • Backlund transformation and exact solutions for a new generalized Zakharov-Kuzentsov equation with nonlinear terms of any order
    • Chen Y., Li B., and Zhang H.Q. Backlund transformation and exact solutions for a new generalized Zakharov-Kuzentsov equation with nonlinear terms of any order. Commun. Theor. Phys. 39 (2003) 135
    • (2003) Commun. Theor. Phys. , vol.39 , pp. 135
    • Chen, Y.1    Li, B.2    Zhang, H.Q.3
  • 5
    • 0037411686 scopus 로고    scopus 로고
    • Auto-Backlund transformation and exact solutions for modified nonlinear dispersive m K (m, n) equations
    • Chen Y., Li B., and Zhang H.Q. Auto-Backlund transformation and exact solutions for modified nonlinear dispersive m K (m, n) equations. Chaos Solitons Fractals 17 (2003) 693
    • (2003) Chaos Solitons Fractals , vol.17 , pp. 693
    • Chen, Y.1    Li, B.2    Zhang, H.Q.3
  • 6
    • 0037121787 scopus 로고    scopus 로고
    • Auto-Backlund transformation and exact solutions for compound KdV-type and compound KdV-Burgers-type equations with nonlinear terms of any order
    • Li B., Chen Y., and Zhang H.Q. Auto-Backlund transformation and exact solutions for compound KdV-type and compound KdV-Burgers-type equations with nonlinear terms of any order. Phys. Lett. A 305 (2002) 377
    • (2002) Phys. Lett. A , vol.305 , pp. 377
    • Li, B.1    Chen, Y.2    Zhang, H.Q.3
  • 8
    • 18944408338 scopus 로고
    • Soliton solution of a coupled KdV equation
    • Hirota R., and Satsuma J. Soliton solution of a coupled KdV equation. Phys. Lett. A 85 (1981) 407
    • (1981) Phys. Lett. A , vol.85 , pp. 407
    • Hirota, R.1    Satsuma, J.2
  • 11
    • 0026413035 scopus 로고    scopus 로고
    • Exact solitary wave solutions of coupled nonlinear evolution equations using MACSYMA
    • Hereman W. Exact solitary wave solutions of coupled nonlinear evolution equations using MACSYMA. Comput. Phys. Comm. 65 (1996) 143
    • (1996) Comput. Phys. Comm. , vol.65 , pp. 143
    • Hereman, W.1
  • 12
    • 0030284901 scopus 로고    scopus 로고
    • An automated tanh-function method for finding solitary wave solutions to nonlinear evolution equations
    • Parkes E.J., and Duffy B.R. An automated tanh-function method for finding solitary wave solutions to nonlinear evolution equations. Comput. Phys. Comm. 98 (1996) 288
    • (1996) Comput. Phys. Comm. , vol.98 , pp. 288
    • Parkes, E.J.1    Duffy, B.R.2
  • 13
    • 0037458753 scopus 로고    scopus 로고
    • Jacobi elliptic function solutions of nonlinear wave equations via the new sinh-Gordon equation expansion method
    • Yan Z.Y. Jacobi elliptic function solutions of nonlinear wave equations via the new sinh-Gordon equation expansion method. J. Phys. A: Math. Gen. 36 (2003) 1961
    • (2003) J. Phys. A: Math. Gen. , vol.36 , pp. 1961
    • Yan, Z.Y.1
  • 14
    • 0037121825 scopus 로고    scopus 로고
    • Applications of the Jacobi elliptic function method to special-type nonlinear equations
    • Fan E., and Zhang J. Applications of the Jacobi elliptic function method to special-type nonlinear equations. Phys. Lett. A 305 (2002) 383
    • (2002) Phys. Lett. A , vol.305 , pp. 383
    • Fan, E.1    Zhang, J.2
  • 15
    • 11144250787 scopus 로고    scopus 로고
    • Explicit exact solutions for a new generalized Hamiltonian amplitude equation with nonlinear terms of any order
    • Chen Y., Li B., and Zhang H.Z. Explicit exact solutions for a new generalized Hamiltonian amplitude equation with nonlinear terms of any order. Z. Angew. Math. Phys. 55 (2004) 983
    • (2004) Z. Angew. Math. Phys. , vol.55 , pp. 983
    • Chen, Y.1    Li, B.2    Zhang, H.Z.3
  • 16
    • 0034606149 scopus 로고    scopus 로고
    • Extended tanh-function method and its applications to nonlinear equations
    • Fan E. 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.1
  • 17
    • 0038285047 scopus 로고    scopus 로고
    • A direct approach with computerized symbolic computation for finding a series of traveling waves to nonlinear equations
    • Fan E., and Dai H.H. A direct approach with computerized symbolic computation for finding a series of traveling waves to nonlinear equations. Comput. Phys. Comm. 153 (2003) 17
    • (2003) Comput. Phys. Comm. , vol.153 , pp. 17
    • Fan, E.1    Dai, H.H.2
  • 18
    • 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
  • 19
    • 21144479106 scopus 로고
    • Link between solitary and projective Riccati equation
    • Conte R., and Musette M. Link between solitary and projective Riccati equation. J. Phys. A 25 (1992) 5609
    • (1992) J. Phys. A , vol.25 , pp. 5609
    • Conte, R.1    Musette, M.2
  • 20
    • 4644356502 scopus 로고    scopus 로고
    • Jacobi elliptic function rational expansion method with symbolic computation to construct new doubly-periodic solutions of nonlinear evolution equations
    • Chen Y., Wang Q., and Li B. Jacobi elliptic function rational expansion method with symbolic computation to construct new doubly-periodic solutions of nonlinear evolution equations. Z. Naturforsch. A 59 (2004) 529
    • (2004) Z. Naturforsch. A , vol.59 , pp. 529
    • Chen, Y.1    Wang, Q.2    Li, B.3
  • 21
    • 19444365777 scopus 로고    scopus 로고
    • An extended Jacobi elliptic function rational expansion method and its application to (2+1)-dimensional dispersive long wave equation
    • Wang Q., and Chen Y. An extended Jacobi elliptic function rational expansion method and its application to (2+1)-dimensional dispersive long wave equation. Phys. Lett. A 340 (2005) 411
    • (2005) Phys. Lett. A , vol.340 , pp. 411
    • Wang, Q.1    Chen, Y.2
  • 22
    • 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. A 60 (2005) 1
    • (2005) Z. Naturforsch. A , vol.60 , pp. 1
    • Chen, Y.1    Wang, Q.2
  • 23
    • 18444379366 scopus 로고    scopus 로고
    • A new Riccati equation rational expansion method and its application to (2+1)-dimensional Burgers equation
    • Wang Q., and Chen Y. A new Riccati equation rational expansion method and its application to (2+1)-dimensional Burgers equation. Chaos, Solitons Fractals 25 5 (2005) 1019-1028
    • (2005) Chaos, Solitons Fractals , vol.25 , Issue.5 , pp. 1019-1028
    • Wang, Q.1    Chen, Y.2
  • 24
    • 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 Solitons Fractals 26 (2005) 231
    • (2005) Chaos Solitons Fractals , vol.26 , pp. 231
    • Chen, Y.1    Wang, Q.2    Li, B.3
  • 25
    • 27744467417 scopus 로고    scopus 로고
    • Multiple Riccati equations rational expansion method and complexiton solutions of the Whitham-Broer-Kaup equation
    • Chen Y., and Wang Q. Multiple Riccati equations rational expansion method and complexiton solutions of the Whitham-Broer-Kaup equation. Phys. Lett. A 347 (2005) 215
    • (2005) Phys. Lett. A , vol.347 , pp. 215
    • Chen, Y.1    Wang, Q.2
  • 26
    • 0034932452 scopus 로고    scopus 로고
    • Optimal compression of chirped solitary waves: Importance of raman self-scattering effect and high-order dispersion
    • Serkin V., and Belyaeva T. Optimal compression of chirped solitary waves: Importance of raman self-scattering effect and high-order dispersion. Proc. SPIE 4271 (2001) 280
    • (2001) Proc. SPIE , vol.4271 , pp. 280
    • Serkin, V.1    Belyaeva, T.2
  • 27
    • 0000314492 scopus 로고    scopus 로고
    • Femtosecond soliton amplification in nonlinear dispersive traps and soliton dispersion management
    • Serkin V., and Hasegawa A. Femtosecond soliton amplification in nonlinear dispersive traps and soliton dispersion management. Proc. SPIE 3927 (2000)
    • (2000) Proc. SPIE , vol.3927
    • Serkin, V.1    Hasegawa, A.2
  • 28
    • 0034319701 scopus 로고    scopus 로고
    • Novel soliton solutions of the nonlinear Schrodinger equation model
    • Serkin V., and Hasegawa A. Novel soliton solutions of the nonlinear Schrodinger equation model. Phys. Rev. Lett. 85 (2000) 4502
    • (2000) Phys. Rev. Lett. , vol.85 , pp. 4502
    • Serkin, V.1    Hasegawa, A.2
  • 30
    • 31544450514 scopus 로고    scopus 로고
    • A truncated Painleve expansion and exact analytical solutions for the nonlinear Schrodinger equation with variable coefficients
    • Li B., and Chen Y. A truncated Painleve expansion and exact analytical solutions for the nonlinear Schrodinger equation with variable coefficients. Z. Naturforsch. A 60 (2005) 768
    • (2005) Z. Naturforsch. A , vol.60 , pp. 768
    • Li, B.1    Chen, Y.2
  • 31
    • 0001223067 scopus 로고    scopus 로고
    • Optical solitary waves in the higher-order nonlinear Schrodinger equation
    • Gedalin M., Scott T., and Band Y. Optical solitary waves in the higher-order nonlinear Schrodinger equation. Phys. Rev. Lett. 78 3 (1996) 448
    • (1996) Phys. Rev. Lett. , vol.78 , Issue.3 , pp. 448
    • Gedalin, M.1    Scott, T.2    Band, Y.3
  • 32
    • 0035359466 scopus 로고    scopus 로고
    • Interactions between dispersion-managed solitons in optical-time-division-multiplexed systems
    • Inoue T., Sugahara H., Maruta A., and Kodama Y. Interactions between dispersion-managed solitons in optical-time-division-multiplexed systems. Electron. Comm. Jpn. 2 84 6 (2001) 24
    • (2001) Electron. Comm. Jpn. 2 , vol.84 , Issue.6 , pp. 24
    • Inoue, T.1    Sugahara, H.2    Maruta, A.3    Kodama, Y.4
  • 33
    • 0032209227 scopus 로고    scopus 로고
    • Hermite-Gaussian expansion for pulse propagation in strongly dispersion managed fibers
    • Lakoba T., and Kaup D. Hermite-Gaussian expansion for pulse propagation in strongly dispersion managed fibers. Phys. Rev. E 58 (1998) 6728
    • (1998) Phys. Rev. E , vol.58 , pp. 6728
    • Lakoba, T.1    Kaup, D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.