Abstract
The classical acoustic spectral problem is considered, and the class of reflectionless potentials for this problem is constructed.
Similar content being viewed by others
References
V. L. Ginzburg, The Propagation of Electromagnetic Waves in Plasmas (Nauka, Moscow, 1967; Pergamon, Oxford, 1970).
L. M. Brekhovskikh, Waves in Layered Media (Akad. Nauk SSSR, Moscow, 1957; Academic, New York, 1960).
A. B. Shabat, Din. Sploshno\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Sredy 5, 130 (1970).
S. Novikov, S. V. Manakov, L. P. Pitaevskii, and V. E. Zakharov, Theory of Solitons: the Inverse Scattering Method (Nauka, Moscow, 1980; Consultants Bureau, New York, 1984).
F. Calogero and A. Degasperis, Spectral Transform and Solitons: Tools to Solve and Investigate Nonlinear Evolution Equations (North-Holland, Amsterdam, 1982; Mir, Moscow, 1985).
V. A. Arkad’ev, A. K. Pogrebkov, and M. K. Polivanov, Singular Solutions of KdV Equation and Inverse Scattering Method, Note of Scientific Seminar of LOMI.
A. P. Veselov and A. B. Shabat, FAN 27, 1 (1993).
A. B. Shabat, Inverse Probl. 8, 303 (1992).
L. A. Dmitrieva, Phys. Lett. A 182, 65 (1993).
L. A. Dmitrieva, J. Phys. A 26, 6005 (1993).
Author information
Authors and Affiliations
Additional information
__________
Translated from Pis’ma v Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 72, No. 3, 2000, pp. 223–228.
Original Russian Text Copyright © 2000 by Novikov.