Prog. Theor. Phys. Vol. 68 No. 3 (1982) pp. 992-995

[ Full Text PDF : FREE ACCESS (145K) ]

Letters

Multi-(Resonant-Soliton)-Soliton Solutions an Vortex-Like Solutions to Two- and Three-Dimensional Sine-Gordon Equations

Shozo Takeno

Department of Physics, Kyoto Technical University, Kyoto 606

(Received July 5, 1982)

Abstract:

It is shown that for the two- and three-dimensional sine-Gordon equations there exist exact multi-(resonant-soliton)-soliton solutions and vortex-like solutions, in addition to exact multi-soliton and resonant-soliton solutions.

URL : http://ptp.ipap.jp/link?PTP/68/992/
DOI : 10.1143/PTP.68.992

References:

See for example, A. Barone, F. Esposito, C. J. Magee and A. C. Scott, Riv. Nuovo Cim. 1 (1971), 227 and references cited therein.
R. Hirota, J. Phys. Soc. Jpn. 33 (1972), 1459[JPSJ]; ibid. 35 (1973), 1566[JPSJ].
K. K. Kobayashi and M. Izutsu, J. Phys. Soc. Jpn. 41 (1976), 1091[JPSJ].
J. W. Miles, J. Fluid Mech. 79 (1977), 157[CrossRef]; ibid. 79 (1977), 171[CrossRef].
J. D. Gibbon, N. C. Freeman and A. Davey, J. of Phys. A 11 (1978), L93[CrossRef].
F. Kako and N. Yajima, J. Phys. Soc. Jpn. 49 (1980), 2063[JPSJ]; ibid. 51 (1982), 311[JPSJ].
R. Hirota, in Bäcklund Transformations, the Inverse Scattering Method, Solitons and Their Applications, Lecture Notes in Mathematics No. 515 ed. by A. Dold and B. Eckmann (Springer-Verlag, Berlin-Heidelberg-New York, 1974), p.40.

Citing Article(s) :

Journal of the Physical Society of Japan 62 (1993) pp. 2192-2195 :
Exact and Approximate Analytical Solutions of Stationary Vortexlike Modes in the d-Dimensional AnisotropicClassical O(2) (XY) Spin Model

Shozo Takeno, Kazuko Kawasaki and Kazuko Taniguchi
Journal of the Physical Society of Japan 63 (1994) pp. 1295-1310 :
Approximate (Asymptotically Exact) Solutions for Anharmonic Localized Modes and Vortexlike Modesand Exact Static Vortexlike Mode Solutions in the D-Dimensional Sine-Lattice Equation

Shozo Takeno, Kazunari Hori, Kazushi Ohtsuka and Shigeo Homma