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Volumn 243, Issue 1, 2000, Pages 64-84

Some Generalizations of the Kadomtsev-Petviashvili Equations

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EID: 0011706862     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1999.6661     Document Type: Article
Times cited : (8)

References (26)
  • 1
    • 0001628959 scopus 로고
    • The structure of two-dimensional solitons in media with anomalously small dispersion
    • L. A. Abramyan and Yu. A. Stepanyants, The structure of two-dimensional solitons in media with anomalously small dispersion, Sov. Phys. JETP 61 (1985), 963-966.
    • (1985) Sov. Phys. JETP , vol.61 , pp. 963-966
    • Abramyan, L.A.1    Stepanyants, Yu.A.2
  • 3
    • 0013099792 scopus 로고
    • Fully discrete Galerkin methods for the Korteweg-de Vries equations
    • J. Bona, V. A. Dougalis, and O. A. Karakashian, Fully discrete Galerkin methods for the Korteweg-de Vries equations, Comput. Math. Appl. 1 (1986), 859-884.
    • (1986) Comput. Math. Appl. , vol.1 , pp. 859-884
    • Bona, J.1    Dougalis, V.A.2    Karakashian, O.A.3
  • 4
    • 0000392499 scopus 로고    scopus 로고
    • Solitary waves of generalized Kadomtsev-Petviashvili equations
    • Annales Institut Henri Poincaré
    • A. De Bouard and J.-C. Saut, Solitary waves of generalized Kadomtsev-Petviashvili equations, Annales Institut Henri Poincaré, Analyse Non Linéaire 14 (1997), 211-236.
    • (1997) Analyse Non Linéaire , vol.14 , pp. 211-236
    • De Bouard, A.1    Saut, J.-C.2
  • 5
    • 0002267149 scopus 로고    scopus 로고
    • Remarks on the stability of generalized KP solitary waves
    • American Mathematical Society, Providence, RI
    • A. De Bouard and J.-C. Saut, Remarks on the stability of generalized KP solitary waves, in "Contemporary Mathematics," American Mathematical Society, Vol. 200, pp. 75-84, Providence, RI, 1996.
    • (1996) Contemporary Mathematics , vol.200 , pp. 75-84
    • De Bouard, A.1    Saut, J.-C.2
  • 6
    • 0001285869 scopus 로고
    • On the Cauchy Problem for the Kadomtsev-Petviashvili Equations
    • J. Bourgain, On the Cauchy Problem for the Kadomtsev-Petviashvili Equations, Geometric Funct. Anal. 3 (1993), 315-341.
    • (1993) Geometric Funct. Anal. , vol.3 , pp. 315-341
    • Bourgain, J.1
  • 7
    • 49149142420 scopus 로고
    • Nonlinear Schrodinger evolution equations
    • H. Brezis and T. Gallouet, Nonlinear Schrodinger evolution equations, Nonlinear Anal. TMA 4 (1980), 677-681.
    • (1980) Nonlinear Anal. TMA , vol.4 , pp. 677-681
    • Brezis, H.1    Gallouet, T.2
  • 8
    • 0346166989 scopus 로고
    • On the Cauchy problem for certain multidimensional generalizations of the KDV equation
    • Universidad Nacional de Colombia
    • A. V. Faminskii, On the Cauchy problem for certain multidimensional generalizations of the KDV equation, in "Memorias Escueia de Verano," pp. 15-26, Universidad Nacional de Colombia, 1994.
    • (1994) Memorias Escueia de Verano , pp. 15-26
    • Faminskii, A.V.1
  • 9
    • 0001605032 scopus 로고
    • On the solvability of the N-wave, Davey-Stewartson and Kadomtsev-Petviashvili equations
    • A. S. Fokas and L. Y. Sung, On the solvability of the N-wave, Davey-Stewartson and Kadomtsev-Petviashvili equations, Inverse Problems 8 (1992), 673-708.
    • (1992) Inverse Problems , vol.8 , pp. 673-708
    • Fokas, A.S.1    Sung, L.Y.2
  • 10
    • 0000468151 scopus 로고
    • Stability theory of solitary waves in the presence of symmetry, 1
    • M. Grillakis, J. Shatah, and W. Strauss, Stability theory of solitary waves in the presence of symmetry, 1, J. Funct. Anal. 74 (1987), 160-197.
    • (1987) J. Funct. Anal. , vol.74 , pp. 160-197
    • Grillakis, M.1    Shatah, J.2    Strauss, W.3
  • 12
    • 85031555292 scopus 로고
    • Efectos regularizantes de la ecuacion KP-II linealizada
    • Universidad Nacional de Colombia
    • P. Isaza, J. Mejia, and V. Stallhohm, Efectos regularizantes de la ecuacion KP-II linealizada, Memorias Escueia de Verano," pp. 55-70, Universidad Nacional de Colombia, 1994.
    • (1994) Memorias Escueia de Verano , pp. 55-70
    • Isaza, P.1    Mejia, J.2    Stallhohm, V.3
  • 13
    • 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), 131-139.
    • (1991) Phys. Lett. A , vol.154 , pp. 131-139
    • Karpman, V.I.1    Belashov, V.Yu.2
  • 14
    • 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), 140-144.
    • (1991) Phys. Lett. A , vol.154 , pp. 140-144
    • Karpman, V.I.1    Belashov, V.Yu.2
  • 16
    • 0002362136 scopus 로고
    • On the Cauchy problem for the (generalized) Korteweg-de Vries equation
    • T. Kato, On the Cauchy problem for the (generalized) Korteweg-de Vries equation, Adv. Math. Supplementary Studies, Stud. Appl. Math. 8 (1983), 93-128.
    • (1983) Adv. Math. Supplementary Studies, Stud. Appl. Math. , vol.8 , pp. 93-128
    • Kato, T.1
  • 17
    • 84990617895 scopus 로고
    • Commutator estimates and the Euler and Navier Stokes equations
    • T. Kato and G. Ponce, Commutator estimates and the Euler and Navier Stokes equations, Comm. Pure Appl. Math. 41 (1988), 891-907.
    • (1988) Comm. Pure Appl. Math. , vol.41 , pp. 891-907
    • Kato, T.1    Ponce, G.2
  • 18
    • 0001969794 scopus 로고
    • Oscillatory integrals and regularity of dispersive equations
    • C. E. Kenig, G. Ponce, and L. Vega, Oscillatory integrals and regularity of dispersive equations, Ind. Univ. Math. J. 40 (1991), 33-69.
    • (1991) Ind. Univ. Math. J. , vol.40 , pp. 33-69
    • Kenig, C.E.1    Ponce, G.2    Vega, L.3
  • 19
    • 0001349105 scopus 로고
    • Remarks on the Generalized Kadomtsev-Petviashvili equations
    • J.-C. Saut, Remarks on the Generalized Kadomtsev-Petviashvili equations, Ind. Univ. Math. J. 42 (1993), 1011-1026.
    • (1993) Ind. Univ. Math. J. , vol.42 , pp. 1011-1026
    • Saut, J.-C.1
  • 20
    • 0000944104 scopus 로고
    • Recent results on the Generalized Kadomtsev-Petviashvili Equations
    • J.-C. Saut, Recent results on the Generalized Kadomtsev-Petviashvili Equations, Acta Appl. Math. 39 (1995), 477-487.
    • (1995) Acta Appl. Math. , vol.39 , pp. 477-487
    • Saut, J.-C.1
  • 21
    • 0001857482 scopus 로고
    • Sur quelques généralisation de l'équation de Kortweg-de Vries
    • J.-C. Saut, Sur quelques généralisation de l'équation de Kortweg-de Vries, J. Math. Pure Appl. 58 (1979), 21-61.
    • (1979) J. Math. Pure Appl. , vol.58 , pp. 21-61
    • Saut, J.-C.1
  • 22
    • 38249034207 scopus 로고
    • Periodic Solutions of Kadomtsev-Petviashvili
    • M. Schwarz, Periodic Solutions of Kadomtsev-Petviashvili, Adv. Math. 66 (1987), 217-233.
    • (1987) Adv. Math. , vol.66 , pp. 217-233
    • Schwarz, M.1
  • 23
    • 0000595598 scopus 로고    scopus 로고
    • On the Generalized Kadomtsev-Petviashvili equation
    • American Mathematical Society, Providence, RI
    • M. M. Tom, On the Generalized Kadomtsev-Petviashvili equation, in "Contemporary Mathematics," Vol. 200, pp. 193-210. American Mathematical Society, Providence, RI, 1996.
    • (1996) Contemporary Mathematics , vol.200 , pp. 193-210
    • Tom, M.M.1
  • 24
    • 0001300143 scopus 로고
    • Local solutions of the Kadomtsev-Petviashvili equations
    • S. Ukai, Local solutions of the Kadomtsev-Petviashvili equations, J. Rac. Sci. Univ. Tokyo Sect. 1A Math. 36 (1989), 193-209.
    • (1989) J. Rac. Sci. Univ. Tokyo Sect. 1A Math. , vol.36 , pp. 193-209
    • Ukai, S.1
  • 25
    • 0000988035 scopus 로고
    • Wave Collapse and instability of solitary waves of a generalized Kadomtsev-Petviashvili equations
    • X. P. Wang, M. J. Ablowitz, and H. Segur, Wave Collapse and instability of solitary waves of a generalized Kadomtsev-Petviashvili equations, Physics D 78 (1994), 241-265.
    • (1994) Physics D , vol.78 , pp. 241-265
    • Wang, X.P.1    Ablowitz, M.J.2    Segur, H.3
  • 26
    • 0001667050 scopus 로고
    • Inverse scattering transform for the time dependent Schrödinger equations with application to the KP equations
    • X. Zhou, Inverse scattering transform for the time dependent Schrödinger equations with application to the KP equations, Comm. Math. Phys. 128 (1990), 551-564.
    • (1990) Comm. Math. Phys. , vol.128 , pp. 551-564
    • Zhou, X.1


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