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Kinks in systems with cubic and quartic anharmonicity

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Literature Cited

  1. K. Nakajima, Y. Sawada, and Y. Onodera, J. Appl. Phys.,46, 5272 (1975).

    Google Scholar 

  2. M. A. Collins, A. Blumen, J. F. Currie, and J. Ross, Phys. Rev. B,19, 3630 (1979).

    Google Scholar 

  3. H. Bilz, H. Büttiker, and H. Fröhlich, Z. Naturforsch. Teil B,36, 208 (1981).

    Google Scholar 

  4. J. F. Currie, J. A. Krumhansl, and A. R. Bishop, Phys. Rev. B,22, 477 (1980).

    Google Scholar 

  5. R. Rajaraman, Solitons and Instantons, North-Holland, Amsterdam (1984).

    Google Scholar 

  6. P. Lal, Phys. Lett. A,111, 389 (1985).

    Google Scholar 

  7. J. M. Cervero and P. G. Estevez, Phys. Lett. A,114, 435 (1986).

    Google Scholar 

  8. V. N. Kashcheev, “Self-similar solutions of nonlinear equations in the presence of dissipation and a constant force,” Preprint LAFI-085 [in Russian], Institute of Physics, Latvian SSR, Salaspils (1986).

    Google Scholar 

  9. J. Geicke, Phys. Lett. A,111, 10 (1985).

    Google Scholar 

  10. I. G. Malkin, Some Problems of the Theory of Nonlinear Oscillations [in Russian], Gostekhteorizdat, Moscow (1956).

    Google Scholar 

  11. C. Hayashi, Nonlinear Oscillations in Physical Systems, McGraw-Hill, New York (1964).

    Google Scholar 

  12. A. Blaquière, Nonlinear System Analysis, Academic Press (1966).

  13. J. Guckenheimer and P. Holmes, Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Fields, Springer Verlag, Berlin (1983), Chap. 7.3.

    Google Scholar 

  14. P. J. Holmes and D. A. Rand, J. Nonlinear Mech.,15, 449 (1980).

    Google Scholar 

  15. A. I. Lur'e, Analytic Mechanics [in Russian], Fizmatgiz, Moscow (1961), pp. 232–233.

    Google Scholar 

  16. J. A. Krumhansl and J. Schrieffer, Phys. Rev. B,11, 3535 (1975).

    Google Scholar 

  17. S. Aubry, J. Chem. Phys.,64, 3392 (1975).

    Google Scholar 

  18. R. Hirota “Direct methods in soliton theory,” in: Solitons (eds. R. K. Bullough and P. J. Caudrey), Springer, Berlin (1980).

    Google Scholar 

  19. V. N. Kashcheev, “Self-similar solutions of nonlinear equations in the presence of dissipation and a constant force. II,” Preprint LAFI-088 [in Russian], Institute of Physics, Latvian SSR, Salaspils (1986).

    Google Scholar 

  20. H. Ito and H. Tasaki, Phys. Lett. A,113, 179 (1985).

    Google Scholar 

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Institute of Physics, Latvian SSR Academy of Sciences. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 74, No. 1, pp. 61–68, January, 1988.

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Kashcheev, V.N. Kinks in systems with cubic and quartic anharmonicity. Theor Math Phys 74, 43–48 (1988). https://doi.org/10.1007/BF01018209

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  • DOI: https://doi.org/10.1007/BF01018209

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