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Volumn 16, Issue 1, 2003, Pages 13-26

The N-soliton solution of the modified generalised Vakhnenko equation (a new nonlinear evolution equation)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; MATHEMATICAL TRANSFORMATIONS; NONLINEAR EQUATIONS; RELAXATION PROCESSES;

EID: 0037332793     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0960-0779(02)00314-4     Document Type: Article
Times cited : (60)

References (14)
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    • Vakhnenko V.O. High-frequency soliton-like waves in a relaxing medium. J. Math. Phys. 40:1999;2011-2020.
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    • Vakhnenko, V.O.1
  • 2
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    • The two loop soliton solution of the Vakhnenko equation
    • Vakhnenko V.O., Parkes E.J. The two loop soliton solution of the Vakhnenko equation. Nonlinearity. 11:1998;1457-1464.
    • (1998) Nonlinearity , vol.11 , pp. 1457-1464
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  • 3
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    • Some remarkable properties of two loop soliton solutions
    • Konno K., Jeffrey A. Some remarkable properties of two loop soliton solutions. J. Phys. Soc. Jpn. 52:1983;1-3.
    • (1983) J. Phys. Soc. Jpn. , vol.52 , pp. 1-3
    • Konno, K.1    Jeffrey, A.2
  • 4
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    • On reciprocal Bäcklund transformations of inverse scattering schemes
    • Rogers C., Wong P. On reciprocal Bäcklund transformations of inverse scattering schemes. Phys. Scr. 30:1984;10-14.
    • (1984) Phys. Scr. , vol.30 , pp. 10-14
    • Rogers, C.1    Wong, P.2
  • 6
    • 0002464716 scopus 로고
    • Direct methods in soliton theory
    • Bullough R.K., Caudrey P.J., editors. New York: Springer
    • Hirota R. Direct methods in soliton theory. Bullough R.K., Caudrey P.J. Solitons. 1980;157-176 Springer, New York.
    • (1980) Solitons , pp. 157-176
    • Hirota, R.1
  • 7
    • 0001413845 scopus 로고
    • A new perspective on the N-soliton solution of the KdV equation
    • Moloney T.P., Hodnett P.F. A new perspective on the N-soliton solution of the KdV equation. Proc. Roy. Irish Acad. 89A:1989;205-217.
    • (1989) Proc. Roy. Irish Acad. , vol.89 A , pp. 205-217
    • Moloney, T.P.1    Hodnett, P.F.2
  • 8
    • 23044527600 scopus 로고    scopus 로고
    • The N-soliton solution of a generalised Vakhnenko equation
    • Morrison A.J., Parkes E.J. The N-soliton solution of a generalised 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
    • 0033196104 scopus 로고    scopus 로고
    • The N loop soliton solution of the Vakhnenko equation
    • Morrison A.J., Parkes E.J., 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
  • 10
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    • Hydrodynamic foundation and Painlevé analysis of Hirota-Satsuma-type equations
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  • 11
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    • The inverse scattering transform - Fourier analysis for nonlinear problems
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  • 12
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  • 14
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    • Exact solution of the Korteweg-de Vries equation for multiple collisions of solitons
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    • Hirota, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.