@article{AIHPC_1995__12_2_201_0, author = {Denzler, Jochen}, title = {Second order nonpersistence of the sine {Gordon} breather under an exceptional perturbation}, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, pages = {201--239}, publisher = {Gauthier-Villars}, volume = {12}, number = {2}, year = {1995}, mrnumber = {1326668}, zbl = {0842.35102}, language = {en}, url = {http://www.numdam.org/item/AIHPC_1995__12_2_201_0/} }
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 SP - 201 EP - 239 VL - 12 IS - 2 PB - Gauthier-Villars UR - http://www.numdam.org/item/AIHPC_1995__12_2_201_0/ LA - en ID - AIHPC_1995__12_2_201_0 ER -
%0 Journal Article %A Denzler, Jochen %T Second order nonpersistence of the sine Gordon breather under an exceptional perturbation %J Annales de l'I.H.P. Analyse non linéaire %D 1995 %P 201-239 %V 12 %N 2 %I Gauthier-Villars %U http://www.numdam.org/item/AIHPC_1995__12_2_201_0/ %G en %F AIHPC_1995__12_2_201_0
Denzler, Jochen. Second order nonpersistence of the sine Gordon breather under an exceptional perturbation. Annales de l'I.H.P. Analyse non linéaire, Tome 12 (1995) no. 2, pp. 201-239. http://www.numdam.org/item/AIHPC_1995__12_2_201_0/
[1] The Rigidity of Sine-Gordon Breathers, Comm. Pure Appl. Math., Vol. 47, 1994, pp. 1043-1051. | MR | Zbl
, and ,[2] Qualitative Analysis of Radiating Breathers, Comm. Pure Appl. Math., Vol. 47, 1994, pp. 1-18. | MR | Zbl
,[3] Zahlentheorie, Birkhäuser, 1966 (translated from the Russian). | MR
and ,[4] 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. | MR | Zbl
,[5] Nonpersistence of Breather Families for the Perturbed Sine Gordon Equation, Comm. Math. Phys., Vol. 158, 1993, pp. 397-430. | MR | Zbl
,[6] Nonpersistence of Breathers for the Perturbed Sine Gordon Equation, PhD thesis, No. 9954, ETH Zürich, Switzerland, 1992. Copy available from the author.
,[7] Perturbation analysis of fluxon dynamics, Physical Review A, Vol. 18, 4, 1978, pp. 1652-1680.
and ,[8] An Introduction to the Theory of Numbers, Wiley. | Zbl
and ,[9] Kink-Antikink interactions in a modified sine Gordon model, Physica, Vol. D, 1983, pp. 33-51.
and ,[10] Primzahlverteilung, Springer Grundlehren 91, 1957. | MR | Zbl
,[11] Nonexistence of Small Amplitude Breather Solutions in φ4 Theory, Phys. Review Letters, Vol. 58, 1987, pp. 747-750. | MR
and ,