Vladimir Zakharov the scientist - SOLITONS, COLLAPSES AND ...

Vladimir Zakharov the scientist
E.A. Kuznetsov
P.N. Lebedev Physical Institute, Moscow, Russia
and
L.D. Landau Institute for Theoretical Physics, Moscow, Russia
Vladimir Zakharov the scientist – p.

Biography data
1939: Born on August 1, in Kazan, USSR.
1946-1956: Scholarship in Kazan and Smolensk, finished
secondary school with honor.
1956-1963: Student of Moscow Power Engineering
Institute (1956–1960) and Novosibirsk State University,
Physics Faculty (1960–1963) (Honors Graduate).
1964-1974: Institute for Nuclear Physics, Novosibirsk,
Graduate Student (1964-1965), Candidate of Physics and
Mathematics (1966) (Supervisor: R.Z. Sagdeev), Doctor
of Mathematics and Physics (1971).
Vladimir Zakharov the scientist – p.

Biography data
1974-pres: L.D. Landau Institute of Theoretical Physics,
Head of Plasma Theory Division (1974–1992), in 1977
State Certificate of Professor, in 1984 elected
Corresponding Member of the USSR Academy of
Sciences, in 1991 elected Academician of the Russian
Academy of Sciences, Director (1993-2003), since 2004
Principle Research Fellow (half position).
2004-pres: University of Arizona, Regent’s Professor of
Mathematics.
2004-pres: P.N. Lebedev Physical Institute, Head of
Sector of mathematical physics.
Vladimir Zakharov the scientist – p.

PHOTOS
Vladimir Zakharov the scientist – p.

PHOTOS
Vladimir Zakharov the scientist – p.

PHOTOS
Vladimir Zakharov the scientist – p.

PHOTOS
Vladimir Zakharov the scientist – p.

PHOTOS
Vladimir Zakharov the scientist – p.

PHOTOS
Vladimir Zakharov the scientist – p.

PHOTOS
Vladimir Zakharov the scientist – p. 1

Publications & Citations
According to SSCI, the total number of citations since
1985 is more than 17000; about 260 articles on
mathematical and physical aspects of nonlinear wave
theory in plasmas, optics, solid state physics,
hydrodynamics, oceanology, geophysics, Gauge field
theory and general relativity.
Vladimir Zakharov the scientist – p. 1

Theory of Surface Waves
Weak turbulence of capillary waves, Prikl. Mekh.Tekh.Fiz.,
(1967), No 5, 62–67: English: J. Appl. Mech. Tech.
Phys., 4 (1967), 506–515, (with N.N. Filonenko).
The energy spectrum for stochastic oscillations of a fluid surface,
Doclady Akad. Nauk SSSR, 170 (1966), 1292–1295;
English: Sov. Phys. Docl. 11 (1967), 881–884, (with N.N.
Filonenko).
Stability of periodic waves of finite amplitude on the surface of a deep
fluid, Zh. Prikl. Mekh. Tekh. Fiz., (1968),9, 86–94; English:
J. Appl. Mech. Tech. Phys., 9, 190–194.
Modulation instability of Stokes - freak wave, JETP Letters 81
(2005), 255 (with A.I.Dyachenko).
Vladimir Zakharov the scientist – p. 1

Inverse Scattering Method and its Applications
Exact theory of two–dimensional self–focusing and one–dimensional
self–modulation of waves in nonlinear media, Eksper. Teoret.
Fiz., 61 (1971), No. 1, 118–134; English: Sov. Phys.
JETP, 34 (1972), No. 1, 62–69, (with A.B. Shabat).
A scheme for integrating the nonlinear equations of numerical physics
by the method of the inverse scattering problem. 1, Funk. Anal.
Ego Prilozh., 8 (1974) 43–53; English: Funct. Anal. Appl.,
8 (1974), 226–235, (with A.B. Shabat).
Integration of the nonlinear equations of mathematical physics by the
method of the inverse scattering problem. II, Funk. Anal. Prilozh.,
13 (1979), No. 3, 13–22; English: Funct. Anal. Appl., 13
(1979), 166-174, (with A.B. Shabat).
Vladimir Zakharov the scientist – p. 1

Inverse Scattering Method and its Applications
The theory of resonance interaction of wave packets in nonlinear
media, Eksper. Teoret. Fiz., 69 (1975), No. 5, 1654–1673;
English: Sov. Phys. JETP, 42 (1975), No. 5, 842–850,
(with S.V. Manakov).
Nonlinear theory of the superfluorescence, Pisma Zh.ETF, 39
(1984), 703–709. (with I.R. Gabitov and A.V. Mikhailov).
Vladimir Zakharov the scientist – p. 1

Inverse Scattering Method and its Applications
Integration of the Einstein equations by the inverse scattering problem
technique and construction of exact soliton solutions, Zh. Eksper.
Teoret. Fiz., 75 (1978), No. 6, 1955–1971; English: Sov.
Phys. JETP, 48 (1978), No. 6, 985-994, (with V.A.
Belinskii).
On the Benney equation, Physica D, 3 (1981), 193–202.
Description of the n-orthogonal curvilinear coordinate systems and
Hamiltonian integrable systems of hydrodynamic type, I: Integration of
the Lamé equations, Duke Mathematical Journal, 94 (1998),
No. 1, 103–139.
Vladimir Zakharov the scientist – p. 1

Wave Collapse
Collapse of Langmuir waves, Eksper. Teoret. Fiz., 62 (1972),
1745–1751; English: Sov. Phys. JETP, 35 (1972),
908–914.
Numerical simulation of the Langmuir wave collapse, Sov. Phys.
JETP, 57 (1983), 1112–1116, (with S.I. Anisimov, M.A.
Beresovski, I.V. Petrov and A.M. Rubenchik).
On the quasiclassical wave collapse, Pisma Zh.ETF, 41 (1985),
p.154 (with E.A. Kuznetzov and S.L. Musher).
Vladimir Zakharov the scientist – p. 1

Wave Collapse
Collapse and self–focusing of Langmuir waves, in Handbook of
Plasma Physics, Vol. 2, Basic Plasma Physics (A.A.
Galeev and R.N. Sudan eds.), Elsevier, North-Holland,
1984, 81–121.
Ultra-strong wave collapse, JETP Lett., 49 (1989), 492–495,
(with N.E. Kosmatov and V.F. Shvets).
Optical turbulence: weak turbulence, condensates and collapsing
fragments in the nonlinear Schrödinger equation, Physica D, 57
(1992), 96–160, (with A. Dyachenko, A.C. Newell and A.
Pushkarev)
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Singular Spectra
Onset of turbulence during parametric excitation of waves,
Sov.Phys. JETP, 33 (1971), 1113–1119, (with V.S. Lvov).
Stationary nonlinear theory of parametric excitation of waves, Sov.
Phys. JETP, 32 (1971), 656–663, (with V.S. Lvov and S.S.
Starobinets).
Spin–wave turbulence beyond the parametrical excitation, Sov.
Phys. Uspekhi, 17 (1975), 896–919, (with V.S. Lvov and
S.S. Starobinets).
Kinetics of simulated scattering of Langmuir waves by plasma ions,
with B.N. Breizman and S.L. Musher, Sov. Phys. JETP, 37
(1973), 658–665.
Vladimir Zakharov the scientist – p. 1

Zakharov School
PhD Students:
There are more than 20 students for period 1970 -pres. :
A. Rubenchik, E. Kuznetsov, S. Musher, S. Manakov, B.
Sturman, A. Mikhailov, I. Gabitov, etc.
Postdoctoral fellows:
There are about 10 Postdoctoral fellows: V. Lvov, M.
Zaslavskii, L. Degtyarev, A. Smilga, etc.
Vladimir Zakharov the scientist – p. 1

Poetry
His poetic gift is akin to his universality in science. He is a
well known poet, a member of the Russian Union of
Writers.
His poetry has been published over years in the Novyy Mir
and Arion magazines and in book form.
He was awarded by two prestige Russian literature
prices: ”‘Petropol”’ ( St Peterburg) and and ”‘Victor Rozov’s
Cut-glass Rose”’ (Moscow).
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Congratulations
Friends, colleagues and students wholeheartedly
congratulate Vladimir Evgenyevich Zakharov on the
occasion of his jubilee and wish him robust health, many
happy years of creative work and many more research
achievements.
Vladimir Zakharov the scientist – p. 2

THANKS
Vladimir Zakharov the scientist – p. 2