On solitary waves for nonlinear schrödinger equations in higher dimensions

References

• Ablowitx , M. and Segur , H. 1981 . Solitions and the Inverse Scattering Transform , SIAM Philadelphia .
   Google Scholar
• Berestycki , H. and Lions , P.L. 1983 . Nonlinear Scalar Field Equations, I Existence of a Ground State . Archive for Rat.Mech.Anal , 82 : 313 – 345 .
   Web of Science ®Google Scholar
• Brull , L. and Lange , H. Solitary waves for Quasilinear Schrodinger Equations
   Google Scholar
• Delfour , M. , Fortin , M. and Payre , G. 1981 . Finite-Difference Solutions of a Non-linear schrodinger Equation . J.Comp.Phys , 44 : 277 – 288 .
   Web of Science ®Google Scholar
• Dodd , R. , Eilbeck , J. , Gibbon , J. and Morris , H. 1982 . Solitions and NOnlinear wave Equations London
   Google Scholar
• Goldman , M. 1984 . Strong Turbulence of Plasma Waves . Rev.Modern.Phys , 56 : 709 – 735 .
   Google Scholar
• Hasse , R. 1980 . A General Method for the Solution of Nonlinear Soliton and Kink Schrodinger Equations . Z.Physik , B 37 : 83 – 87 .
   Web of Science ®Google Scholar
• Kurihara , S. 1981 . Large-amplitude Quasi-solitons in Super-Fluid Films . J.Phys.Soc.Japan , 50 : 3262 – 3267 .
   Google Scholar
• Laedke , E. , Spatschek , K. and Stenflo , L. 1983 . Evolution Theorem for a Class of Perturbed Envelope Solition Solutions . J.Math.Phys , 24 : 2764 – 2769 .
   Web of Science ®Google Scholar
• Litvak , A.G. and Sergeeva , A.M. 1978 . One-dimensional Collapse of Plasma Waves . JETP Lett , 27 : 517 – 520 .
   Web of Science ®Google Scholar
• Nakamura , A. 1977 . Damping and Modification of Exciton Solitary Waves . J.Phys.Soc.Japan , 42 : 1824 – 1835 .
   Google Scholar
• Pnevmatikos , S. 1985 . Solitons in Nonlinear Atomic Chains,Singularities and Dynamical Systems , 397 – 437 . B.V. (North-Holland) : Elsevier science Publ .
   Google Scholar
• Pohozaev , S. 1965 . Eigenfuctions of the Equation δu+λf(u)=0 . Sov.Math.Doklady , 5 : 1408 – 1411 .
   Google Scholar
• Porklab , M. and Goldman , M. 1976 . Upper-hybrid Solitions and Oscillating-two-stream Instabilities . Phys.of Fluids , 19 : 872 – 881 .
   Web of Science ®Google Scholar
• Quispel , G.R.W. and Capel , H.W. 1982 . Equation of Motion for the Heisenberg Spain Chain . Physica , 110A : 41 – 80 .
   Google Scholar
• Scott , A.C. , Chu , F.Y.F. and McLaughlin , D.W. 1973 . The Soliton: A New Concept in Applied Science . Proc.IEEE , 61 : 1443 – 1483 .
   Web of Science ®Google Scholar
• Strauss , W. 1977 . Existence of Solitary Waves in Higher Dimensions . Comm.Math.Phys , 55 : 149 – 162 .
   Web of Science ®Google Scholar
• Strauss , W. 1978 . The Nonlinear Schrodinger Equation, in: Contemporary Developments in Continuum Mechanics and Partial Difierential Equations , North-Holland Pub. Comp .
   Google Scholar
• Takeno , S. and Homma , S. 1981 . Classical Planar Heisenberg Ferromagnet, Complex Scalar Field and Nonlinear Excitations . Progr.Theoret.Phys , 65 : 172 – 189 .
   Google Scholar
• Walter , W. 1976 . Gewohnliche Differentialgleichungen . Heideberger Taschenbuch , 110
   Google Scholar