Focusing nonlinear Schro¨dinger equation and wave-packet collapse
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[1] V. Zakharov,et al. Exact Theory of Two-dimensional Self-focusing and One-dimensional Self-modulation of Waves in Nonlinear Media , 1970 .
[2] R. Glassey. On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations , 1977 .
[3] Papanicolaou,et al. Rate of blowup for solutions of the nonlinear Schrödinger equation at critical dimension. , 1988, Physical review. A, General physics.
[4] Jean-Michel Ghidaglia,et al. On the initial value problem for the Davey-Stewartson systems , 1990 .
[5] George Papanicolaou,et al. The focusing singularity of the Davey-Stewartson equations for gravity-capillary surface waves , 1994 .
[6] S. Champeaux,et al. Alfvén-wave filamentation , 1997, Journal of Plasma Physics.
[7] Jerome V Moloney,et al. The effects of normal dispersion on collapse events , 1994 .
[8] Elias A Lipitakis,et al. Advances on computer mathematics and its applications , 1993 .
[9] V. I. Talanov,et al. Self Focusing of Wave Beams in Nonlinear Media , 1965 .
[10] C. Sulem,et al. Generation of acoustic fronts by focusing wave packets , 1996 .
[11] Catherine Sulem,et al. Local structure of the self-focusing singularity of the nonlinear Schro¨dinger equation , 1988 .
[12] Georgios Akrivis,et al. GALERKIN–FINITE ELEMENT METHODS FOR THE NONLINEAR SCHRÖDINGER EQUATION , 1993 .
[13] Nancy Kopell,et al. Spatial Structure of the Focusing Singularity of the Nonlinear Schr[o-umlaut]dinger Equation: A Geometrical Analysis , 1995, SIAM J. Appl. Math..
[14] J. Juul Rasmussen,et al. Multisplitting and collapse of self‐focusing anisotropic beams in normal/anomalous dispersive media , 1996 .
[15] V. Zakharov,et al. Integrability of Nonlinear Systems and Perturbation Theory , 1991 .
[16] Felipe Linares,et al. On the Davey-Stewartson systems , 1993 .
[17] J. Ginibre,et al. On a class of nonlinear Schrödinger equations. II. Scattering theory, general case , 1979 .
[18] Papanicolaou,et al. Stability of isotropic self-similar dynamics for scalar-wave collapse. , 1992, Physical review. A, Atomic, molecular, and optical physics.
[19] J. Ginibre,et al. On a class of nonlinear Schrödinger equations. I. The Cauchy problem, general case , 1979 .
[20] Mark J. Ablowitz,et al. On the evolution of packets of water waves , 1979, Journal of Fluid Mechanics.
[21] James Serrin,et al. Uniqueness of positive radial solutions of Δu+f(u)=0 in ℝn , 1987 .
[22] H. Rose,et al. Initial development of ponderomotive filaments in plasma from intense hot spots produced by a random phase plate , 1993 .
[23] Takayoshi Ogawa,et al. Blow-up of H1 solution for the nonlinear Schrödinger equation , 1991 .
[24] M. Weinstein. Nonlinear Schrödinger equations and sharp interpolation estimates , 1983 .
[25] S. Orszag,et al. Advanced Mathematical Methods For Scientists And Engineers , 1979 .
[26] Papanicolaou,et al. Focusing singularity of the cubic Schrödinger equation. , 1986, Physical review. A, General physics.
[27] Yoshio Tsutsumi,et al. L2 concentration of blow-up solutions for the nonlinear Schrödinger equation with critical power nonlinearity , 1990 .
[28] George Papanicolaou,et al. Stability of isotropic singularities for the nonlinear schro¨dinger equation , 1991 .
[29] Thierry Cazenave,et al. The Cauchy problem for the critical nonlinear Schro¨dinger equation in H s , 1990 .
[30] M. Ablowitz,et al. Solitons, Nonlinear Evolution Equations and Inverse Scattering , 1992 .
[31] Vladimir E. Zakharov,et al. Stability of periodic waves of finite amplitude on the surface of a deep fluid , 1968 .
[32] Vladimir E. Zakharov,et al. Computer simulation of wave collapses in the nonlinear Schro¨dinger equation , 1991 .
[33] Frank Merle,et al. On uniqueness and continuation properties after blow‐up time of self‐similar solutions of nonlinear schrödinger equation with critical exponent and critical mass , 1992 .
[34] Alan C. Newell,et al. Optical turbulence: weak turbulence, condensates and collapsing filaments in the nonlinear Schro¨dinger equation , 1992 .
[35] Yoshio Tsutsumi,et al. Rate of L 2 concentration of blow-up solutions for the nonlinear Schro¨dinger equation with critical power , 1990 .
[36] W. Strauss,et al. Decay and scattering of solutions of a nonlinear Schrödinger equation , 1978 .
[37] B. Gidas,et al. Symmetry of positive solutions of nonlinear elliptic equations in R , 1981 .
[38] Papanicolaou,et al. Beam self-focusing in the presence of a small normal time dispersion. , 1995, Physical review. A, Atomic, molecular, and optical physics.