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Volumn 216, Issue 12, 2010, Pages 3522-3535

The interaction processes of the N-soliton solutions for an extended generalization of Vakhnenko equation

Author keywords

Extended generalization of Vakhnenko equation; Improved Hirota method; Interaction process; N soliton solution; Variable transformation

Indexed keywords

HIROTA METHOD; INTERACTION PROCESS; N-SOLITON SOLUTIONS; VAKHNENKO EQUATION; VARIABLE TRANSFORMATION;

EID: 77953622077     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2010.04.072     Document Type: Article
Times cited : (29)

References (20)
  • 1
    • 36149031729 scopus 로고
    • Solitons in a nonlinear model medium
    • Vakhnenko V.A. Solitons in a nonlinear model medium. J. Phys. A: Math. Nucl. Gen. 25 (1992) 4181-4187
    • (1992) J. Phys. A: Math. Nucl. Gen. , vol.25 , pp. 4181-4187
    • Vakhnenko, V.A.1
  • 2
    • 21344498072 scopus 로고
    • The stablility of solutions of Vakhnenko's equation
    • Parkes E.J. The stablility of solutions of Vakhnenko's equation. J. Phys. A: Math. Nucl. Gen. 26 (1993) 6469-6475
    • (1993) J. Phys. A: Math. Nucl. Gen. , vol.26 , pp. 6469-6475
    • Parkes, E.J.1
  • 3
    • 0013232245 scopus 로고    scopus 로고
    • The two loop soliton solution of the Vakhnenko equation
    • Vakhnenko V.O., and Parkes E.J. The two loop soliton solution of the Vakhnenko equation. Nonlinearity 11 (1998) 1457-1464
    • (1998) Nonlinearity , vol.11 , pp. 1457-1464
    • Vakhnenko, V.O.1    Parkes, E.J.2
  • 4
    • 0000173741 scopus 로고    scopus 로고
    • The Vakhnenko equation from the viewpoint of the inverse scattering method for the KdV equation
    • Vakhnenko V.O., Parkes E.J., and Michtchenko A.V. The Vakhnenko equation from the viewpoint of the inverse scattering method for the KdV equation. Int. J. Differ. Equat. Appl. 1 (1998) 429-450
    • (1998) Int. J. Differ. Equat. Appl. , vol.1 , pp. 429-450
    • Vakhnenko, V.O.1    Parkes, E.J.2    Michtchenko, A.V.3
  • 5
    • 0033239772 scopus 로고    scopus 로고
    • High-frequency soliton-like waves in a relaxing medium
    • Vakhnenko V.O. High-frequency soliton-like waves in a relaxing medium. J. Math. Phys. 40 (1999) 2011-2020
    • (1999) J. Math. Phys. , vol.40 , pp. 2011-2020
    • Vakhnenko, V.O.1
  • 6
    • 0033196104 scopus 로고    scopus 로고
    • The N-loop soliton solution of the Vakhnenko equation
    • Morrison A.J., Parkes E.J., and Vakhnenko V.O. The N-loop soliton solution of the Vakhnenko equation. Nonlinearity 12 (1999) 1427-1437
    • (1999) Nonlinearity , vol.12 , pp. 1427-1437
    • Morrison, A.J.1    Parkes, E.J.2    Vakhnenko, V.O.3
  • 7
    • 0036643094 scopus 로고    scopus 로고
    • The calculation of multi-soliton solutions of the Vakhnenko equation by the inverse scattering method
    • Vakhnenko V.O., and Parkes E.J. The calculation of multi-soliton solutions of the Vakhnenko equation by the inverse scattering method. Chaos Solitons Fractals 13 (2002) 1819-1826
    • (2002) Chaos Solitons Fractals , vol.13 , pp. 1819-1826
    • Vakhnenko, V.O.1    Parkes, E.J.2
  • 8
    • 23044527600 scopus 로고    scopus 로고
    • The N-soliton solution of a generalized Vakhnenko equation
    • Morrison A.J., and Parkes E.J. The N-soliton solution of a generalized Vakhnenko equation. Glasgow Math. J. 43A (2001) 65-90
    • (2001) Glasgow Math. J. , vol.43 A , pp. 65-90
    • Morrison, A.J.1    Parkes, E.J.2
  • 9
    • 0037332793 scopus 로고    scopus 로고
    • The N-soliton solution of the modified generalized Vakhnenko equation (a new nonlinear evolution equation)
    • Morrison A.J., and Parkes E.J. The N-soliton solution of the modified generalized Vakhnenko equation (a new nonlinear evolution equation). Chaos Solitons Fractals 16 (2003) 13-26
    • (2003) Chaos Solitons Fractals , vol.16 , pp. 13-26
    • Morrison, A.J.1    Parkes, E.J.2
  • 10
    • 35949040541 scopus 로고
    • Exact solutions of the modified Korteweg-de Vries equation for multiple collisions of solitons
    • Hirota R. Exact solutions of the modified Korteweg-de Vries equation for multiple collisions of solitons. Phys. Rev. Lett. 27 (1971) 1192-1194
    • (1971) Phys. Rev. Lett. , vol.27 , pp. 1192-1194
    • Hirota, R.1
  • 11
    • 0001247353 scopus 로고
    • A new form of Bäcklund transformations and its relation to the inverse scattering problem
    • Hirota R. A new form of Bäcklund transformations and its relation to the inverse scattering problem. Prog. Theor. Phys. 52 (1974) 1498-1512
    • (1974) Prog. Theor. Phys. , vol.52 , pp. 1498-1512
    • Hirota, R.1
  • 13
    • 34249791596 scopus 로고
    • Symbolic software for soliton theory, Acta Applicandae Mathematicae
    • Hereman W., and Zhaung W. Symbolic software for soliton theory, Acta Applicandae Mathematicae. Phys. Lett. A 76 (1980) 95-96
    • (1980) Phys. Lett. A , vol.76 , pp. 95-96
    • Hereman, W.1    Zhaung, W.2
  • 14
    • 0030829213 scopus 로고    scopus 로고
    • Symbolic methods to construct exact solutions of nonlinear partial differential equations
    • Hereman W., and Nuseir A. Symbolic methods to construct exact solutions of nonlinear partial differential equations. Math. Comput. Simul. 43 (1997) 13-17
    • (1997) Math. Comput. Simul. , vol.43 , pp. 13-17
    • Hereman, W.1    Nuseir, A.2
  • 15
    • 0000550412 scopus 로고
    • On classes of integrable systems and the Painlev-property
    • Weiss J. On classes of integrable systems and the Painlev-property. J. Math. Phys. 25 1 (1984) 13-24
    • (1984) J. Math. Phys. , vol.25 , Issue.1 , pp. 13-24
    • Weiss, J.1
  • 16
    • 34249786250 scopus 로고    scopus 로고
    • Multiple-soliton solutions for the KP equation by Hirota's bilinear method and by the tanh-coth method
    • Wazwaz A.M. Multiple-soliton solutions for the KP equation by Hirota's bilinear method and by the tanh-coth method. Appl. Math. Comput. 190 (2007) 633-640
    • (2007) Appl. Math. Comput. , vol.190 , pp. 633-640
    • Wazwaz, A.M.1
  • 17
    • 34247562366 scopus 로고    scopus 로고
    • The tanh-coth and the sech methods for exact solutions of the Jaulent-Miodek equation
    • Wazwaz A.M. The tanh-coth and the sech methods for exact solutions of the Jaulent-Miodek equation. Phys. Lett. A 366 1/2 (2007) 85-90
    • (2007) Phys. Lett. A , vol.366 , Issue.1-2 , pp. 85-90
    • Wazwaz, A.M.1
  • 18
    • 34250643151 scopus 로고    scopus 로고
    • Multiple-front solutions for the Burgers equation and the coupled Burgers equations
    • Wazwaz A.M. Multiple-front solutions for the Burgers equation and the coupled Burgers equations. Appl. Math. Comput. 190 (2007) 1198-1206
    • (2007) Appl. Math. Comput. , vol.190 , pp. 1198-1206
    • Wazwaz, A.M.1
  • 19
    • 41949134292 scopus 로고    scopus 로고
    • The Hirota's direct method and the tanh-coth method for multiple-soliton solutions of the Sawada-Kotera-Ito seventh-order equation
    • Wazwaz A.M. The Hirota's direct method and the tanh-coth method for multiple-soliton solutions of the Sawada-Kotera-Ito seventh-order equation. Appl. Math. Comput. 199 (2008) 133-138
    • (2008) Appl. Math. Comput. , vol.199 , pp. 133-138
    • Wazwaz, A.M.1
  • 20
    • 43049164177 scopus 로고    scopus 로고
    • The Hirota's direct method and the tanh-coth method for multiple-soliton solutions of the Sawada-Kotera-Kadomtsev-Petviashvili equation
    • Wazwaz A.M. The Hirota's direct method and the tanh-coth method for multiple-soliton solutions of the Sawada-Kotera-Kadomtsev-Petviashvili equation. Appl. Math. Comput. 200 (2008) 160-166
    • (2008) Appl. Math. Comput. , vol.200 , pp. 160-166
    • Wazwaz, A.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.