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On the motion of solitons in discrete molecular chains

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Literature Cited

  1. A. S. Davydov and N. I. Kislukha, Phys. Status Solidi B,59, 465 (1973).

    Google Scholar 

  2. A. S. Davydov and A. A. Eremko, Ukr. Fiz. Zh.,22, 881 (1977).

    Google Scholar 

  3. A. S. Davydov, Solitons in Molecular Systems [in Russian], Naukova Dumka, Kiev (1984).

    Google Scholar 

  4. A. C. Scott, Phys. Rev. A.,26, 578 (1982).

    Google Scholar 

  5. V. A. Kuprievich, Physica (Utrecht),D14, 395 (1985).

    Google Scholar 

  6. N. I. Kislukha, “Effects of discreteness in the theory of Davydov solitions,” Preprint ITF-85-3R [in Russian], Institute of Theoretical Physics, Ukrainian Academy of Sciences, Kiev (1985).

    Google Scholar 

  7. G. Careri, U. Bountempo, F. Galluzzi, A.C. Scott, E. Gratton, and E. Shyamsunder, Phys. Rev. B,30, 4689 (1984).

    Google Scholar 

  8. E. G. Wilson, J. Phys. C,16, 6739 (1983).

    Google Scholar 

  9. A. A. Vakhnenko and Yu. B. Gaididei, “Dynamics of Davydov solitons in a discrete molecular chain,” Preprint ITF-85-58R [in Russian], Institute of Theoretical Physics, Ukrainian Academy of Sciences, Kiev (1985).

    Google Scholar 

  10. N. A. Nevskaya and Yu. N. Chirgadze, Biopolymers,15, 637 (1976).

    Google Scholar 

  11. M. J. Ablowitz and J. F. Ladik, Stud. Appl. Math.,55, 213 (1976).

    Google Scholar 

  12. M. J. Ablowitz and J. F. Ladik, J. Math. Phys.,17, 1011 (1976).

    Google Scholar 

  13. M. J. Ablowitz, Stud. Appl. Math.,58, 17 (1978).

    Google Scholar 

  14. M. Wadati, in: Solitons [Russian translations], Mir, Moscow (1983), pp. 310–322.

    Google Scholar 

  15. D. I. Kaup, SIAM J. Appl. Math.,31, 121 (1976).

    Google Scholar 

  16. V. I. Karpman and E. M. Maslov, Zh. Eksp. Teor. Fiz.,73, 537 (1977).

    Google Scholar 

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Institute of Theoretical Physics, Ukrainian SSR Academy of Sciences. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 68, No. 3, pp. 350–359, September, 1986.

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Vakhnenko, A.A., Gaididei, Y.B. On the motion of solitons in discrete molecular chains. Theor Math Phys 68, 873–880 (1986). https://doi.org/10.1007/BF01019387

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  • DOI: https://doi.org/10.1007/BF01019387

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