On the dynamics of scalar wave collapse

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 239, Issue 1-2, 1998, Pages 46-50

  Maslov, E M ^a   Shagalov, A G ^b  

^a PUSHKOV INSTITUTE OF TERRESTRIAL MAGNETISM   (Russian Federation)

^b INSTITUTE OF METAL PHYSICS   (Russian Federation)

Author keywords

Collapse; Multidimensional solitons

Indexed keywords

EQUATIONS OF MOTION; NONLINEAR EQUATIONS;

COLLAPSE; DIFFERENTIAL INEQUALITIES; NONLINEAR KLEIN-GORDON EQUATION; SCALAR WAVES;

NONLINEAR OPTICS;

EID: 0042357194     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0375-9601(97)00958-4     Document Type: Article

References (16)

1. V.E. Zakharov, in: Handbook of Plasma Physics, Vol. 2, eds. A.A. Galeev, R.N. Sudan (North-Holland, Amsterdam, 1984) p. 81.
2. M.V. Goldman, Rev. Mod. Phys. 56 (1984) 709.
3. J.J. Rasmussen, K. Rypdal, Physica Scripta 33 (1986) 481.
4. K. Rypdal, J.J. Rasmussen, Physica Scripta 33 (1984) 498.
5. E.A. Kuznetsov, J.J. Rasmussen, K. Rupdal, S.K. Turitsyn, Physica D 87 (1995) 273.
6. P.M. Lushnikov, Pis'ma Zh. Eksp. Teor. Fiz. 62 (1995) 447.
7. E.M. Maslov, A.G. Shagalov, in: Nonlinear evolution equations and dynamical systems, Proc. NEEDS'92, eds. V. Makhankov, I. Puzynin, O. Pashaev (World Scientific, Singapore, 1993) p. 159.
8. E.M. Maslov, A.G. Shagalov, in: Nonlinear Physics: Theory and Experiment, eds. E. Alfinito, M. Boiti, L. Martina, F. Pempinelli (World Scientific, Singapore, 1996) p. 421.
9. E.M. Maslov, A.G. Shagalov, Phys. Lett. A 224 (1997) 277.
10. E.A. Kuznetsov, P.M. Lushnikov, Zh. Eksp. Teor. Fiz. 108 (1995) 614.
11. G.H. Hardy, J.E. Littlewood, G. Polya, Inequalities (Cambridge Univ. Press, Cambridge, 1951).
12. J. Szarski, Differential Inequalities (Warsaw, 1965) Ch. 4.
13. A.R. Bishop, J.A. Krumhansl, S.E. Trullinger, Physica D 1 (1980) 1.
14. A. Linde, Particle Physics and Cosmology (Gordon and Breach, London, 1990).
15. A.L. Larsen, N. Sànchez, Phys. Rev. D 54 (1996) 2801.
16. D. Montgomery, G. Joyce, Phys. Fluids 17 (1974) 1139.