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Volumn 28, Issue 5, 1997, Pages 1064-1085

Symmetries and decay of the generalized Kadomtsev-Petviashvili solitary waves

Author keywords

Decay; Kadomtsev Petviashvili equations; Solitary waves; Symmetry

Indexed keywords


EID: 0031502156     PISSN: 00361410     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036141096297662     Document Type: Article
Times cited : (103)

References (15)
  • 1
    • 0001628959 scopus 로고
    • The structure of two-dimensional solitons in media with anomalously small dispersion
    • L. A. ABRAMYAN AND Y. A. STEPANYANTS, The structure of two-dimensional solitons in media with anomalously small dispersion, Sov. Phys. JETP, 61 (1985), pp. 963-966.
    • (1985) Sov. Phys. JETP , vol.61 , pp. 963-966
    • Abramyan, L.A.1    Stepanyants, Y.A.2
  • 6
    • 0003197180 scopus 로고
    • An Introduction to Nonlinear Schrödinger Equations
    • Instituto de Matematica-UFRJ Rio de Janeiro, Brazil
    • T. CAZENAVE, An Introduction to Nonlinear Schrödinger Equations, Textos de Métodos Matematicos 26, Instituto de Matematica-UFRJ Rio de Janeiro, Brazil, 1993.
    • (1993) Textos de Métodos Matematicos , vol.26
    • Cazenave, T.1
  • 8
    • 38249000245 scopus 로고
    • Carleman type estimates in an anisotropic case and applications
    • V. ISAKOV, Carleman type estimates in an anisotropic case and applications, J. Differential Equations, 105, (1993), pp. 217-238.
    • (1993) J. Differential Equations , vol.105 , pp. 217-238
    • Isakov, V.1
  • 9
    • 0001758060 scopus 로고
    • Dynamics of two-dimensional solitons in weakly dispersive media
    • V. I. KARPMAN AND V. YU. BELASHOV, Dynamics of two-dimensional solitons in weakly dispersive media, Phys. Lett. A, 154 (1991), pp. 131-139.
    • (1991) Phys. Lett. A , vol.154 , pp. 131-139
    • Karpman, V.I.1    Belashov, V.Yu.2
  • 10
    • 0001758058 scopus 로고
    • Evolution of three-dimensional nonlinear pulses in weakly dispersive media
    • V. I. KARPMAN AND V. YU. BELASHOV, Evolution of three-dimensional nonlinear pulses in weakly dispersive media, Phys. Lett. A, 154 (1991), pp. 140-144.
    • (1991) Phys. Lett. A , vol.154 , pp. 140-144
    • Karpman, V.I.1    Belashov, V.Yu.2
  • 11
    • 0005688260 scopus 로고
    • Multipliers of Fourier integrals
    • P. I. LIZORKIN, Multipliers of Fourier integrals, Proc. Steklov Inst. Math., 89 (1967), pp. 269-290.
    • (1967) Proc. Steklov Inst. Math. , vol.89 , pp. 269-290
    • Lizorkin, P.I.1
  • 12
    • 0002882973 scopus 로고
    • A constrained minimization problem, with integrals on the entire space
    • O. LOPES, A constrained minimization problem, with integrals on the entire space, Bol. Soc. Bras. Mat., 25 (1994), pp. 77-92.
    • (1994) Bol. Soc. Bras. Mat. , vol.25 , pp. 77-92
    • Lopes, O.1
  • 13
    • 0001349105 scopus 로고
    • Remarks on the generalized Kadomtsev-Petviashvili equations
    • J. C. SAUT, Remarks on the generalized Kadomtsev-Petviashvili equations, Indiana Math. J., 42 (1993), pp. 1011-1026.
    • (1993) Indiana Math. J. , vol.42 , pp. 1011-1026
    • Saut, J.C.1
  • 14
    • 0039234990 scopus 로고
    • Wave collapse and instability of solitary waves for a generalized Kadomtsev-Petviashvili equation
    • X. P. WANG, M. J. ABLOWITZ, AND H. SEGUR, Wave collapse and instability of solitary waves for a generalized Kadomtsev-Petviashvili equation, Phys. D, 78 (1994), pp. 97-113.
    • (1994) Phys. D , vol.78 , pp. 97-113
    • Wang, X.P.1    Ablowitz, M.J.2    Segur, H.3
  • 15
    • 0015768944 scopus 로고
    • Sur l'unicité rétrograde des équations paraboliques et quelques questions voisines
    • C. BARDOS AND L. TARTAR, Sur l'unicité rétrograde des équations paraboliques et quelques questions voisines, Arch. Rational Mech. Anal., 50 (1973), pp. 10-25.
    • (1973) Arch. Rational Mech. Anal. , vol.50 , pp. 10-25
    • Bardos, C.1    Tartar, L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.