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Volumn 27, Issue 3, 1996, Pages 725-737

Analyticity of solitary-wave solutions of model equations for long waves

Author keywords

Analyticity; Korteweg de Vries type equations; Nonlinear dispersive wave equations; Regularity; Regularized long wave type equations; Schr dinger type equations; Solitary waves

Indexed keywords


EID: 0030545823     PISSN: 00361410     EISSN: None     Source Type: Journal    
DOI: 10.1137/0527039     Document Type: Article
Times cited : (32)

References (13)
  • 1
    • 0025889528 scopus 로고
    • Uniqueness of Benjamin's solitary-wave solutions of the Benjamin-Ono equation
    • C. J. AMICK AND J. F. TOLAND, Uniqueness of Benjamin's solitary-wave solutions of the Benjamin-Ono equation, IMA J. Appl. Math., 46 (1991), pp. 21-28.
    • (1991) IMA J. Appl. Math. , vol.46 , pp. 21-28
    • Amick, C.J.1    Toland, J.F.2
  • 2
    • 0003372381 scopus 로고
    • Lectures on nonlinear wave motion
    • American Mathematical Society, Providence, RI
    • T. B. BENJAMIN, Lectures on Nonlinear Wave Motion, in Lectures in Applied Mathematics 15, American Mathematical Society, Providence, RI, 1974, pp. 3-47.
    • (1974) Lectures in Applied Mathematics , vol.15 , pp. 3-47
    • Benjamin, T.B.1
  • 4
    • 34249773260 scopus 로고
    • On the stability of solitary-wave solutions of model equations for long waves
    • J. L. BONA AND A. SOYEUR, On the stability of solitary-wave solutions of model equations for long waves, J. Nonlinear Sci., 4 (1994), pp. 449-470.
    • (1994) J. Nonlinear Sci. , vol.4 , pp. 449-470
    • Bona, J.L.1    Soyeur, A.2
  • 5
    • 36749113943 scopus 로고
    • A particle representation for Korteweg-de Vries solitons
    • G. BOWTELL AND A. E. G. STUART, A particle representation for Korteweg-de Vries solitons, J. Math. Phys., 24 (1983), pp. 969-981.
    • (1983) J. Math. Phys. , vol.24 , pp. 969-981
    • Bowtell, G.1    Stuart, A.E.G.2
  • 7
    • 12044253199 scopus 로고
    • Compactons: Solitons with finite wavelength
    • J. M. HYMAN AND P. ROSENAU, Compactons: Solitons with finite wavelength, Phys. Rev. Lett., 70 (1993), pp. 564-567.
    • (1993) Phys. Rev. Lett. , vol.70 , pp. 564-567
    • Hyman, J.M.1    Rosenau, P.2
  • 8
    • 0002587383 scopus 로고
    • The Korteweg-de Vries equation and related evolution equations
    • American Mathematical Society, Providence, RI
    • M. D. KRUSKAL, The Korteweg-de Vries Equation and Related Evolution Equations, in Lectures in Applied Mathematics 15, American Mathematical Society, Providence, RI, 1974, pp. 61-83.
    • (1974) Lectures in Applied Mathematics , vol.15 , pp. 61-83
    • Kruskal, M.D.1
  • 9
    • 85033763826 scopus 로고
    • Ph.D. thesis, Pennsylvania State University, University Park, PA
    • Y. LI, Uniqueness and analyticity of solitary waves, Ph.D. thesis, Pennsylvania State University, University Park, PA, 1994.
    • (1994) Uniqueness and Analyticity of Solitary Waves
    • Li, Y.1
  • 12
    • 84946267644 scopus 로고
    • Existence and dynamic stability of solitary wave solutions of equations arising in long wave propagation
    • M. WEINSTEIN, Existence and dynamic stability of solitary wave solutions of equations arising in long wave propagation, Comm. Partial Differential Equations, 12 (1987), pp. 1133-1173.
    • (1987) Comm. Partial Differential Equations , vol.12 , pp. 1133-1173
    • Weinstein, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.