Солитоны и метод обратной задачи - Абловиц М.
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318. — (1968), Integrals of nonlinear equations of evolution and solitary waves, Comm. Pure Appl. Math., 21, pp. 467— 490. -
[Имеется перевод: П. Д. Лаке (1969). Интегралы нелинейных эволюционных уравнений и уединенные волны. — Математика, 13:5, с. 128—150, M.: Мир.
319. — (1973), Hyperbolic Systems of Conservation Laws and the Mathematical Theory of Shock Waves, CBMS Regional Conference Series in Applied Mathematics 11, Society for Industrial and Applied Mathematics, Philadelphia, 1973.
320.— (1975), Periodic solutions of the KdV equation, Comm. Pure Appl. Math., 28, pp. 141—188. 460 Литература
321. P. D. Lax and D. Levermore (1979), The zero dispersion limit for the Korteweg-de Vries equation, Proc. Nat'l. Acad. Sci., 76, pp. 3602—3606.
322. Lebedev and Yu. I. Manin (1978), Hidden symmetries, ITEP, preprint.
323. S. Leibovich and G. D. Randall (1973), Amplification and decay of long nonlinear waves, J. Fluid Mech., 58, pp. 481—493.
324. C. Leone (1974), Gradual damping of internal solitary waves, M S. Thesis, Clarkson College, New York.
325. C. Leone and H. Segur (1981), Long internal waves of moderate amplitude II. Viscous decay, preprint.
326. J. E. Lewis, В. M. Lake and D. R. S. Ko (1974), On the interaction of internal waves and surface gravity waves, J. Fluid Mech., 63, pp. 773—800.
327. E. H. Lieb and W. Leninger (1963), Exact analysis of an interacting Bose gas I., Phys. Rev., 130, pp. 1605—1616; (E. N. Lieb), II, 130, pp. 1616— 1624.
328. G. Liebbrandt (1978), New exact solutions of the classical sine-Gordon equation in 2 + 1 and 3+1 dimensions, Phys. Rev. Lett., 41, pp. 435— 438.
329. M. J. Lighthill (1958), Introduction to Fourier Analysis and Generalized Functions, University Press, Cambridge.
330. A. Liu and S. H. Davis (1977), Viscous attenuation of mean drift in water waves, J. Fluid. Mech., 81, pp. 63—84.
331. R. R. Long (1964), Solitary waves in the westerlies, J. Atmos. Sci., 21, pp. 156—179.
332. K. Lpnngren and A. C. Scott, eds. (1978), Solitons in Action, Academic Press, New York.
333. M. S. Longuet-Higgins (1975), Integral properties of periodic gravity waves of finite amplitude, Proc. Roy. Soc. London A, 392, pp. 157—174.
334. M. S. Longuet-Higgins and M. J. H. Fox (1977), Theory of the almost-highest wave I. The inner solution, J. Fluid Mech., 80, pp. 721—742.
335. — (1978), Theory of the almost-highest wave II. Matching and analvtic extension, J. Fluid Mech., 85, p. 769—786.
336. A. E. H. Love (1944), A Treatise on the Mathematical Theory of Elasticity, Dover, New York.
337. H. А. Лукашевич (1971). К теории второго уравнения Пенлеве. Дифф. ур., т. VII, вып. 6, с. 1124—1125.
338. F. Lund (1977), Example of a relativistic, completely integrable, Hamil-tonian system, Phys. Rev. Lett., 38, pp. 1175—1178.
339. Y. C. Ma (1978), On the long-wave/short-wave resonant interaction, Stud. Appl. Math., 59, pp. 201—221.
340. Y. C. Ma and L. G. Redekopp (1979), Some solutions pertaining to the resonant interactions of long and short waves, Phys. Fluids, 22, pp. 1872— 1876.
341. W-Magnus and W. Winkler (1966), Hill's Equation, Wiley-Interscience, New York.
342. D. Maison (1978), Are the stationary, axially symmetric Einstein equations completely integrable?, Phys. Rev. Lett., 41, pp. 521—522. Литература
461
343. — (1979), On the complete integrability of the stationary, axially symmetric Einstein equations, J. Math. Phys., 20, pp. 871—877.
344. V. G. Makhankov (1978), Dynamics of classical solutions in non-integrable systems, Phys. Rep., 35, yp. 1 — 128.
345. С. А. Манаков (1973). Нелинейная дифракция Фраунгофера. ЖЭТФ, 65, вып. 10, с. 1392—1398.
346. — (1973). К теории двумерной стационарной самофокусировки электромагнитных волн. — ЖЭТФ, 65, вып. 8, с. 506.
347. — (1974). О полной интегрируемости и стахостизации в дискретных динамических системах. — ЖЭТФ, 67, вып. 2, с. 543—555.
348. — (1981), The inverse scattering transform for the time-dependent Schro-dinger equation and Kadomtsev-Petviashvili equation, Proc. Joint US-USSR Symposium on Soliton Theory, Kiev, 1979, V. E. Zakharov and S. V. Manakov, eds., North-Holland, Amsterdam, pp. 420—427.
349. S. V. Manakov, P. M. Santini and L. A. Takhtadzhyan (1980), Asymptotic behavior of the solutions of the Kadomtsev-Petviashvili equation, Phys. Lett, 75A, pp. 451—454.
350. S. V. Manakov, V. E. Zakharov, L. A. Bordag, A. B. Matveev (1977), Two-dimensional solitons of the Kadomtsev-Petviashvili equation and their interaction, Phys. Lett., 63A, pp. 205—206.
351. Yu. I. Manin, Hidden symmetries of long waves, Proc. Joint US-USSR Symposium on Soliton Theory, Kiev, 1979, V. E. Zakharov and S. V. Manakov, eds, North-Holland, Amsterdam, pp. 400—409,
352. В. А. Марченко (1974). Периодическая задача Кортевега-де Фриза.— Мат. сб., т. 95, № 3, с. 351—356.
353. D. V. Martin and Н. С. Yuen (1980), Quasi-recurring energy leakage in the two-space-dimensional nonlinear Schrodinger equation, Phys. Fluids, 23, pp. 881—883.
