References 377
458. Yajima, N. and Oikawa, M. (1976) Formation and Interaction of Sonic–
Langmuir Solitons. Inverse Scattering Method, Progr. Theor. Phys. 56,
1719–1739.
459. Yurov, A.V. (1997) On localized solutions of the Davey–Stewartson 1 equa-
tions, Theor. Math. Phys. 112, 395–398.
460. Yurov, A. (1997) Darboux transformation for Dirac equations with (1 + 1)
potentials, Phys. L ett. A 225, 51–59.
461. Yurov, A.V. (2000) Darboux Transformations in Quantum Mechanics, Kalin-
ingrad State University Press, Kaliningrad.
462. Zabolotskii, A.A. (1987) Self-induced transparency and quadratic Stark effect,
Phys. Lett. A 124, 500–502.
463. Zabolotskii, A.A. (2001) Dynamics of a light field in a composite integrable
model, J. Exper. Theor Phys. 93, 221–235 [Zh. Eksp. Teor. Fiz. 120, 252–268].
464. Zabreyko, P.P., Koshelev, A.I., Krasnosel’skii, M.A., Mikhlin, S. , Rakovschik,
L.S., and Stet’senko, V.Ya. (1975) Integral Equations – A Reference Text,
Noordhoff, Leyden.
465. Zabuski, N.J. and Kruskal, M.D. (1965) Interaction of solitons in a collisionless
plasma and the recurrence of initial states, Phys. Rev. Lett. 15, 240–243.
466. Zaitsev, A.A. and Leble, S.B. (1984) Nonlinear Wave Theory, Kaliningrad
State University, Kaliningrad.
467. Zaitsev, A.A. and Leble, S.B. (2000) Division of differential operators, inter-
twine relations and Darboux transformations, Rep. Math. Phys. 46, 165–174.
468. Zakharov, V.E. (2000) How classical Physics helps Mathematics, in N. Alon,
J. Bourgain, A. Connes, M. Gromov, and V. Milman (eds.), Visions in Mathe-
matics: Towards 2000,Birkh¨auser Verlag, Basel, pp. 859–881.
469. Zakharov, V.E. and Faddeev, L.D. (1971) Korteweg–de Vries equation, a com-
pletely integrable Hamiltonian system, Func. Anal. Appl. 5, 280–287.
470. Zakharov, V.E. and Kuznetsov, E.A. (1986) Multi-scale expansions in the the-
ory of systems integrable by the inverse scattering transform, Physica D 18,
455–463.
471. Zakharov, V.E. and Manakov, S.V. (1973) On resonant interaction of wav e
packets in nonlinear media, Pis’ma v ZhETF 18, 413–416 [(1973) Sov. Phys.
JETP Letters 18, 243–245].
472. Zakharov, V.E. and Manakov, S.V. (1975) On the theory of resonant interac-
tion of wave packets in nonlinear media, Zhurn. Eksp. Teor. Fiz. 69, 1654–1673
[(1975) Sov. Phys. JETP 42, 842–845].
473. Zakharov, V.E. and Shabat, A.B. (1971) Exact theory of two-dimensional self-
focusing and one-dimensional modulation of waves in nonlinear media, Zhurn.
Eksp. Teor. Fiz. 61, 118–134 [(1972) Sov. Phys. JETP 34, 62–69].
474. Zakharov, V.E. and Shabat, A.B. (1974) A scheme for integrating the non-
linear equations of mathematical physics b y the method of the inverse scat-
tering problem, Funk. Anal. Pril. 6, no. 3, 43–53 [Func. Anal. Appl. 8,
226–235].
475. Zakharov, V.E. and Shabat, A.B. (1979) A scheme for integrating the nonlinear
equations of mathematical physics by the metho d of the inverse scattering
problem. II, Funk. Anal. Pril. 13, no. 3, 13–22 [(1980) Func. Anal. Appl. 13,
166–174].
476. Zakharov, V.E. and Takhtajan, L.A. (1979) Equivalence of nonlinear
Schr¨odinger equation and Heisenberg equation for ferromagnets, Te or. Mat.
Fiz. 38, 26–35.