Second order nonpersistence of the sine Gordon breather under an exceptional perturbation

Jochen Denzler

Annales de l'I.H.P. Analyse non linéaire (1995)

  • Volume: 12, Issue: 2, page 201-239
  • ISSN: 0294-1449

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Denzler, Jochen. "Second order nonpersistence of the sine Gordon breather under an exceptional perturbation." Annales de l'I.H.P. Analyse non linéaire 12.2 (1995): 201-239. <http://eudml.org/doc/78358>.

@article{Denzler1995,
author = {Denzler, Jochen},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {number theoretic techniques; sine Gordon equation; breather; first order perturbation theory; second order perturbation theory},
language = {eng},
number = {2},
pages = {201-239},
publisher = {Gauthier-Villars},
title = {Second order nonpersistence of the sine Gordon breather under an exceptional perturbation},
url = {http://eudml.org/doc/78358},
volume = {12},
year = {1995},
}

TY - JOUR
AU - Denzler, Jochen
TI - Second order nonpersistence of the sine Gordon breather under an exceptional perturbation
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 1995
PB - Gauthier-Villars
VL - 12
IS - 2
SP - 201
EP - 239
LA - eng
KW - number theoretic techniques; sine Gordon equation; breather; first order perturbation theory; second order perturbation theory
UR - http://eudml.org/doc/78358
ER -

References

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  1. [1] B. Birnir, H. Mckean and A. Weinstein, The Rigidity of Sine-Gordon Breathers, Comm. Pure Appl. Math., Vol. 47, 1994, pp. 1043-1051. Zbl0814.35112MR1288631
  2. [2] B. Birnir, Qualitative Analysis of Radiating Breathers, Comm. Pure Appl. Math., Vol. 47, 1994, pp. 1-18. Zbl0793.35088MR1258194
  3. [3] Borewics and Šafarevič, Zahlentheorie, Birkhäuser, 1966 (translated from the Russian). MR195802
  4. [4] J. Denzler, Nonpersistence of Breather Solutions under Perturbation of the Sine Gordon Equation; in: Seminar on Dynamical Systems, Euler International Mathematical Institute, Sankt Petersburg November 1991, V. F. LAZUTKIN, Ed., Birkhäuser, Basel, 1994. Zbl0799.35193MR1279400
  5. [5] J. Denzler, Nonpersistence of Breather Families for the Perturbed Sine Gordon Equation, Comm. Math. Phys., Vol. 158, 1993, pp. 397-430. Zbl0802.35132MR1249601
  6. [6] J. Denzler, Nonpersistence of Breathers for the Perturbed Sine Gordon Equation, PhD thesis, No. 9954, ETHZürich, Switzerland, 1992. Copy available from the author. Zbl0802.35132
  7. [7] D.W. Mclaughlin and A.C. Scott, Perturbation analysis of fluxon dynamics, Physical Review A, Vol. 18, 4, 1978, pp. 1652-1680. 
  8. [8] I. Niven and H.S. Zuckerman, An Introduction to the Theory of Numbers, Wiley. Zbl0098.03602
  9. [9] M. Peyrard and D.K. Campbell, Kink-Antikink interactions in a modified sine Gordon model, Physica, Vol. D, 1983, pp. 33-51. 
  10. [10] K. Prachar, Primzahlverteilung, SpringerGrundlehren91, 1957. Zbl0080.25901MR87685
  11. [11] H. Segur and M.D. Kruskal, Nonexistence of Small Amplitude Breather Solutions in φ4 Theory, Phys. Review Letters, Vol. 58, 1987, pp. 747-750. MR879720

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