Generation of acoustic fronts by focusing wave packets

Physica D: Nonlinear Phenomena

Volumn 94, Issue 4, 1996, Pages 168-187

  Passot, T ^a   Sulem, C ^b   Sulem, P L ^a  

^a UNIVERSITÉ CÔTE D'AZUR   (France)

^b UNIVERSITY OF TORONTO   (Canada)

Author keywords

Alfv n waves; Envelope equations; Plasmas; Self focusing

Indexed keywords

EID: 0042117202     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/0167-2789(96)00007-3     Document Type: Article

References (16)

1. V.E. Zakharov and A.M. Rubenchik, Nonlinear interaction between high frequency and low frequency waves, Prikl. Mat. Techn. Fiz. 5 (1972) 84-98 (in Russian).
2. V.E. Zakharov and E.I. Schulman, Integrability of nonlinear systems and perturbation, in: ed., V.E. Zakharov, What is integrability. Springer Series on Nonlinear Dynamics (Springer, Berlin, 1991) pp. 185-250.
3. D.B. Budneva, V.E. Zakharov and V.S. Synakh, Certain models for wave collapse, Fiz. Plasmy I (1975) 606-613;
4. Sov. J. Plasma Phys. 1 (1975) 335-338.
5. V.E. Zakharov, Collapse of Langmuir waves, Zh. Eksp. Teor. Fiz. 62 (1972) 1745;
6. Sov. Phys. JETP 35 (1972) 908-914.
7. T. Passot and P.L. Sulem, Multidimensional modulation of Alfvén waves, Phys. Rev. E 48 (1993) 2966-2974.
8. T. Passot, C. Sulem and P.L. Sulem, Effect of longitudinal modulation on Alfvén wave filamentation, Phys. Rev. E 50 (1994) 1427-1436.
9. S. Champeaux, T. Passot and P.L. Sulem, On Alfvén wave filamentation, J. Plasma Phys., submitted (1996).
10. H. Rose and D.F. Dubois, Initial development of ponderomotive filaments in plasma from intense hot spots produced by a random phase rate, Phys. Fluids B 5 (1993) 3337-3356.
11. G.G. Luther, A.C. Newell and J.V. Moloney, The effect of normal dispersion on collapse events, Physica D 74 (1994) 59-73.
12. G. Fibich, V. Malkin and G. Papanicolaov, Beam self-focusing in the presence of small normal time dispersion, preprint (1995).
13. D. McLaughlin, G. Papanicolaou, C. Sulem and P.L. Sulem, The focusing singularity of the cubic Schrödinger equation, Phys. Rev A 34 (1986) 1200-1210.
14. M. Landman, G. Papanicolaou, C. Sulem, P.L. Sulem, and Wang, X.P., Stability of isotropic singularities for the nonlinear Schrödinger equation, Physica D 47 (1991) 393-415.
15. M.I. Weinstein, Nonlinear Schrödinger equations and sharp interpolation estimates, Com.n. Math. Phys., 87 (1983) 567-576.
16. G.C. Papanicolaou, C. Sulem, P.L. Sulem and X.P. Wang, Singular solutions of the Zakharov equations for Langmuir turbulence, Phys. Fluids B 3 (1991) 969-980.