Voir la notice de l'article provenant de la source Cambridge University Press
MARUNO, KEN-ICHI; OHTA, YASUHIRO; OIKAWA, MASAYUKI. NOTE ON THE TWO-COMPONENT ANALOGUE OF TWO-DIMENSIONAL LONG WAVE – SHORT WAVE RESONANCE INTERACTION SYSTEM. Glasgow mathematical journal, Tome 51 (2009) no. A, pp. 129-135. doi: 10.1017/S0017089508004849
@article{10_1017_S0017089508004849,
author = {MARUNO, KEN-ICHI and OHTA, YASUHIRO and OIKAWA, MASAYUKI},
title = {NOTE {ON} {THE} {TWO-COMPONENT} {ANALOGUE} {OF} {TWO-DIMENSIONAL} {LONG} {WAVE} {\textendash} {SHORT} {WAVE} {RESONANCE} {INTERACTION} {SYSTEM}},
journal = {Glasgow mathematical journal},
pages = {129--135},
year = {2009},
volume = {51},
number = {A},
doi = {10.1017/S0017089508004849},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089508004849/}
}
TY - JOUR AU - MARUNO, KEN-ICHI AU - OHTA, YASUHIRO AU - OIKAWA, MASAYUKI TI - NOTE ON THE TWO-COMPONENT ANALOGUE OF TWO-DIMENSIONAL LONG WAVE – SHORT WAVE RESONANCE INTERACTION SYSTEM JO - Glasgow mathematical journal PY - 2009 SP - 129 EP - 135 VL - 51 IS - A UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089508004849/ DO - 10.1017/S0017089508004849 ID - 10_1017_S0017089508004849 ER -
%0 Journal Article %A MARUNO, KEN-ICHI %A OHTA, YASUHIRO %A OIKAWA, MASAYUKI %T NOTE ON THE TWO-COMPONENT ANALOGUE OF TWO-DIMENSIONAL LONG WAVE – SHORT WAVE RESONANCE INTERACTION SYSTEM %J Glasgow mathematical journal %D 2009 %P 129-135 %V 51 %N A %U http://geodesic.mathdoc.fr/articles/10.1017/S0017089508004849/ %R 10.1017/S0017089508004849 %F 10_1017_S0017089508004849
[1] 1.Ablowitz, M. J., Prinari, B. and Trubatch, A. D., Discrete and continuous nonlinear Schrödinger systems (Cambridge University Press, Cambridge, UK, 2004). Google Scholar
[2] 2.Ablowitz, M. J., Prinari, B. and Trubatch, A. D., Soliton interactions in the vector NLS equation, Inv. Probl. 20 (2004), 1217–1237. Google Scholar | DOI
[3] 3.Date, E., Jimbo, M., Kashiwara, M. and Miwa, T., Transformation groups for soliton equations. III. Operator approach to the Kadomtsev–Petviashvili equation, J. Phys. Soc. Jpn. 50 (1981), 3806–3812. Google Scholar | DOI
[4] 4.Date, E., Jimbo, M., Kashiwara, M. and Miwa, T., Transformation group for soliton equations: Euclidean Lie algebras and reduction of the KP hierarchy, Publ. Res. Inst. Math. Sci. 18 (1982), 1077–1111. Google Scholar | DOI
[5] 5.Gilson, C. R., Resonant behaviour in the Davey–Stewartson equation, Phys. Lett. A 161 (1992), 423–428. Google Scholar | DOI
[6] 6.Hietarinta, J. and Hirota, R., Multidromion solutions to the Davey–Stewartson equation, Phys. Lett. A 145 (1990), 237–244. Google Scholar | DOI
[7] 7.Hirota, R., The direct method in soliton theory (Cambridge University Press, Cambridge, UK, 2004). Google Scholar | DOI
[8] 8.Manakov, S. V., On the theory of two-dimensional stationary self-focusing of electromagnetic waves, Sov. Phys. JETP 38 (1974), 248–253. Google Scholar
[9] 9.Oikawa, M., Ohta, Y. and Maruno, K., Long wave-short wave resonance interaction system, Reports of RIAM Symposium No. 18ME-S5, 2007. Google Scholar
[10] 10.Oikawa, M., Okamura, M. and Funakoshi, M., Two-dimensional resonant interaction between long and short waves, J. Phys. Soc. Jpn. 58 (1989), 4416–4430. Google Scholar | DOI
[11] 11.Ohta, Y., Maruno, K. and Oikawa, M., Two-component analogue of two-dimensional long wave-short wave resonance interaction equations: A derivation and solutions, J. Phys. A: Math. Theor. 40 (2007), 7659–7672. Google Scholar | DOI
[12] 12.Onorato, M., Osborne, A. R. and Serio, M., Modulational instability in crossing sea states: A possible mechanism for the formation of freak waves, Phys. Rev. Lett. 96 (2006), 014503-1–014503-4. Google Scholar | DOI
[13] 13.Radhakrishnan, R., Lakshmanan, M. and Hietarinta, J., Inelastic collision and switching of coupled bright solitons in optical fibers, Phys. Rev. E 56 (1997), 2213–2216. Google Scholar | DOI
[14] 14.Yajima, N. and Oikawa, M., Formation and interaction of sonic-Langmuir solitons – inverse scattering method, Prog. Theor. Phys. 56 (1976), 1719–1739. Google Scholar | DOI
Cité par Sources :