@article{ZVMMF_2010_50_12_a7,
author = {S. P. Popov},
title = {Application of the quasi-spectral fourier method to soliton equations},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {2176--2183},
year = {2010},
volume = {50},
number = {12},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_12_a7/}
}
TY - JOUR AU - S. P. Popov TI - Application of the quasi-spectral fourier method to soliton equations JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2010 SP - 2176 EP - 2183 VL - 50 IS - 12 UR - http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_12_a7/ LA - ru ID - ZVMMF_2010_50_12_a7 ER -
S. P. Popov. Application of the quasi-spectral fourier method to soliton equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 12, pp. 2176-2183. http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_12_a7/
[1] Benjamin T. B., Bona J. G., Mahony J. J., “Model equations for long waves in nonlinear dispersive systems”, Philos. Trans. Roy. Soc., 272A (1972), 47–78 | MR | Zbl
[2] Camassa R., Holm D., “An intergrable shallow water equation with peaked soliton”, Phys. Rev. Letts., 71 (1993), 1661–1664 | DOI | MR | Zbl
[3] Dai H.-H., “Model equations for nonlinear dispersive waves in a compressible Money–Rivlin rod”, Acta Mech., 127:1–4 (1998), 193–207 | DOI | MR | Zbl
[4] Kholm D. D., Khon A. N. V., “Integriruemost uravneniya pyatogo poryadka s integriruemoi dinamikoi dvukh tel”, Teor. i matem. fiz., 137:1 (2003), 121–136 | MR
[5] Duran A., Lopez-Marcos M. A., “Conservative numerical methods for solitary wave interaction”, J. Phys. A: Math. Gen., 2003, no. 36, 7761–7770 | DOI | MR | Zbl
[6] Zhou Y., “Wave breaking for shallow water equation”, Nonlinear Analys., 57 (2004), 137–152 | DOI | MR | Zbl
[7] Bogoyavlenskii O. I., Oprokidyvayuschiesya solitony, Nauka, M., 1991 | MR | Zbl
[8] Hui-Hui Dai, Yishen Li, “The interaction of the $\omega$-soliton and $\omega$-cuspon of the Camassa–Holm equation”, J. Phys. A: Math. Gen., 2005, no. 42, L685–L694 | MR | Zbl