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Collective coordinates by a variational approach: Problems for sine Gordon and ϕ4 models

  • Part VI: Mathematical Methods
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Nonlinear Coherent Structures in Physics and Biology

Part of the book series: Lecture Notes in Physics ((LNP,volume 393))

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References

  1. R. K. Dodd, J. C. Eilbeck, J. D. Gibbon and H. C. Morris “Solitons and Nonlinear wave equations” Academic Press (1982)

    Google Scholar 

  2. A. C. Scott and D. Mclaughlin “Perturbation analysis of fluxon dynamics” Phys. Rev. A 18, nb. 4 (1978) and references 17 and 18 therein.

    Google Scholar 

  3. M. J. Rice and E. J. Mele“Phenomenelogical theory of soliton formation in lihgtly doped polyacetylene” Solid State Comm. 35, p. 487 (1980)

    Google Scholar 

  4. G. Reinisch, J. C. Fernandez, N. Flytzanis, M. Taki and S. Pnevmatikos“Phase lock of a weakly biased inhomogeneous long Josephson junction to an external microwave source” Phys. Rev. B 38, nb. 16, p. 11284 (1988)

    Google Scholar 

  5. O. Legrand “Kink-antikink dissociation and annihilation: a collective-coordinate description” Phys. Rev. A 36, 5068 (1987)

    Google Scholar 

  6. J. G. Caputo and N. Flytzanis “Kink-antikink collisions in sine-Gordon and ø4 models: problems in the variational approach submitted to Phys. Rev. A, December 1991

    Google Scholar 

  7. L. Vazquez “A conservative scheme for lagrangian systems” In preparation.

    Google Scholar 

  8. R. Flesch “Collective coordinates for non-linear Klein-Gordon field theory” PhD doctoral dissertation, USC, (1987)

    Google Scholar 

  9. S. Jeyadev and J. R. Schrieffer “Collective coordinate description of soliton dynamics in trans-polyacetylene-like systems” Synthetic Metals 9, p. 451 (1984)

    Google Scholar 

  10. Z. Fei and L. Vazquez “Resonance phenomena in a dynamcal system with two degrees of freedom” submitted to Physica D

    Google Scholar 

  11. D. K. Campbell, J. F. Schonfeld and C. A. Wingate “Resonance structure in kink-antikink interactions in ø4 theory” Physica 9D, p. 451 (1983Y)

    Google Scholar 

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Author information

Authors and Affiliations

  1. LESP, INSA and URA CNRS 230, BP 8, 76131, Mont-Saint-Aignan cedex, France

    J. G. Caputo

  2. Department of Physics, University of Crete, Heraklion, Greece

    N. Flytzanis

Authors
  1. J. G. Caputo
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  2. N. Flytzanis
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M. Remoissenet M. Peyrand

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© 1991 Springer-Verlag

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Caputo, J.G., Flytzanis, N. (1991). Collective coordinates by a variational approach: Problems for sine Gordon and ϕ4 models. In: Remoissenet, M., Peyrand, M. (eds) Nonlinear Coherent Structures in Physics and Biology. Lecture Notes in Physics, vol 393. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-54890-4_189

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  • DOI: https://doi.org/10.1007/3-540-54890-4_189

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-54890-4

  • Online ISBN: 978-3-540-46458-7

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