Solitons and Condensed Matter Physics: Proceedings of the by R. K. Bullough, R. K. Dodd (auth.), Alan R. Bishop B.Sc.

Solitons and Condensed Matter Physics: Proceedings of the by R. K. Bullough, R. K. Dodd (auth.), Alan R. Bishop B.Sc.

By R. K. Bullough, R. K. Dodd (auth.), Alan R. Bishop B.Sc. Ph.D., Dr. Toni Schneider (eds.)

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Extra info for Solitons and Condensed Matter Physics: Proceedings of the Symposium on Nonlinear (Soliton) Structure and Dynamics in Condensed Matter, Oxford, England, June 27–29, 1978

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L. Bogo1ubsky, V. G. Makhankov, and A. B. Shvachka, Phys. Lett. 63A 225 (1977) 55. G. D. Smith, "Numerical Solution of Partial Differential Equations", Oxford U. P. (1969) 56. P. J. Roache, "Com[Jutationa1 Fluid Dynamics", Hermosa Publishers, Albuquerque, New Mexico (1972) 57. A. C. Scott, private communication. O. Box 88 Manchester M60 100, Great Britain Introducti on The Toda lattice is a simple nonlinear differential-difference equation which was derived by TODA [1] as a model describing the propagation of waves along a chain of particles of equal mass with an exponential restoring force between them.

39 422 (1895) 5. E. Fermi, J. Pasta and S. Ulam, Los Alamos Report LA 1940, 143 (1955) 6. N. J. Zabusky, in Proc. Symp. on Non 1i near Parti a1 Differenti a1; W. F. , Academic Press, Ne\~ York, 223 (1967) 7. N. J. Zabusky and fl. D. Kruskal, Phys. Rev. Lett. 15 240 (1965) 8. J. K. Perring and T. H. R. Skyrme, Nucl. Phys. So (1962) 9. V. G. Makhankov, Phys. Lett. C35 1 (1978) 10. R. D. Richtmyer and K. W. Morton, Difference tlethods for Initial Value Problems, 2nd Ed. Interscience, London (1967) 11.

Newell, SIAM J. App1. Math. 33 133 (1977) 19. S. Duckworth, R. K. Bu11ough, P. J~Caudrey and J. D. Gibbon, Phys. Lett. 52A 19 (1976) 20. rK. Bullough, in "Nonlinear Evolution Equations Solvable by the Spectral Transform", ed. F. Calogero, Pitman, London (1978) 21. A. Kudryavtsev, JETP Lett. 22 82 (1975) 22. J. D. Gibbon, N. C. Freeman-and R. S. Johnson, Phys. Lett. 65A 380 (1978) 23. I. S. Greig and J. Ll. Morris, J. , 2064 (1976)24. A. C. Viliegenthart, J. Engrg. , 51 137 1T971) 25. B. Fornberg and G.

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