Mots-clés : Darboux transformation, soliton.
@article{TMF_2010_162_1_a3,
author = {Yuqin Yao and Yehui Huang and Yunbo Zeng},
title = {The~two-component {Camassa{\textendash}Holm} equation with self-consistent sources and its multisoliton solutions},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {75--86},
year = {2010},
volume = {162},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2010_162_1_a3/}
}
TY - JOUR AU - Yuqin Yao AU - Yehui Huang AU - Yunbo Zeng TI - The two-component Camassa–Holm equation with self-consistent sources and its multisoliton solutions JO - Teoretičeskaâ i matematičeskaâ fizika PY - 2010 SP - 75 EP - 86 VL - 162 IS - 1 UR - http://geodesic.mathdoc.fr/item/TMF_2010_162_1_a3/ LA - ru ID - TMF_2010_162_1_a3 ER -
%0 Journal Article %A Yuqin Yao %A Yehui Huang %A Yunbo Zeng %T The two-component Camassa–Holm equation with self-consistent sources and its multisoliton solutions %J Teoretičeskaâ i matematičeskaâ fizika %D 2010 %P 75-86 %V 162 %N 1 %U http://geodesic.mathdoc.fr/item/TMF_2010_162_1_a3/ %G ru %F TMF_2010_162_1_a3
Yuqin Yao; Yehui Huang; Yunbo Zeng. The two-component Camassa–Holm equation with self-consistent sources and its multisoliton solutions. Teoretičeskaâ i matematičeskaâ fizika, Tome 162 (2010) no. 1, pp. 75-86. http://geodesic.mathdoc.fr/item/TMF_2010_162_1_a3/
[1] R. Camassa, D. D. Holm, Phys. Rev. Lett., 71:11 (1993), 1661–1664 | DOI | MR | Zbl
[2] R. Camassa, D. D. Holm, J. M. Hyman, Adv. Appl. Mech., 31 (1994), 1–33 | DOI | Zbl
[3] B. Fuchssteiner, A. S. Fokas, Physica D, 4:1 (1981), 47–66 | DOI | MR | Zbl
[4] A. Constantin, V. S. Gerdjikov, R. I. Ivanov, Inverse Probl., 22:6 (2006), 2197–2207 | DOI | MR | Zbl
[5] A. Parker, Proc. R. Soc. Lond. Ser. A, 460:2050 (2004), 2929–2957 | DOI | MR | Zbl
[6] A. Constantin, W. Strauss, Comm. Pure Appl. Math., 53:5 (2000), 603–610 | 3.0.CO;2-L class='badge bg-secondary rounded-pill ref-badge extid-badge'>DOI | MR | Zbl
[7] R. Beals, D. H. Sattinger, J. Szmigielski, Inverse Probl., 15:1 (1999), L1–L4 | DOI | MR | Zbl
[8] A. Constantin, Invent. Math., 166:3 (2006), 523–535 | DOI | MR | Zbl
[9] R. S. Johnson, Proc. R. Soc. Lond. Ser. A, 459:2035 (2003), 1687–1708 | DOI | MR | Zbl
[10] Y. S. Li, J. E. Zhang, Proc. R. Soc. Lond. Ser. A, 460:2049 (2004), 2617–2627 | DOI | MR | Zbl
[11] A. B. Shabat, L. Martínez Alonso, “On the prolongation of a hierarchy of hydrodynamic chains”, New Trends in Integrability, Partial Solvability, NATO Sci. Ser. II Math. Phys. Chem., 132, eds. A. B. Shabat, A. González-López, M. Mañas, L. Martinez Alonso M. A. Rodriguez, Kluwer, Dordrecht, 2004, 263–280 | MR | Zbl
[12] R. I. Ivanov, Z. Naturforsch. A, 61a (2006), 133–138 ; arXiv: nlin/0601066 | Zbl
[13] S.-Q. Liu, Y. Zhang, J. Geom. Phys., 54:4 (2005), 427–453 | DOI | MR | Zbl
[14] M. Chen, S.-Q. Liu, Y. Zhang, Lett. Math. Phys., 75:1 (2006), 1–15 | DOI | MR | Zbl
[15] P. J. Olver, P. Rosenau, Phys. Rev. E, 53:2 (1996), 1900–1906 | DOI | MR
[16] A. Constantin, R. I. Ivanov, Phys. Lett. A, 372:48 (2008), 7129–7132 | DOI | MR | Zbl
[17] J. Lin, B. Ren, H.-mei Li, Y.-shen Li, Phys. Rev. E, 77:3 (2008), 036605 | DOI | MR
[18] H. Aratyn, J. F. Gomes, A. H. Zimerman, J. Phys. A, 39:5 (2006), 1099–1114 | DOI | MR | Zbl
[19] G. Falqui, J. Phys. A, 39:2 (2006), 327–342 | DOI | MR | Zbl
[20] J. Escher, O. Lechtenfeld, Z. Yin, Discrete Contin. Dyn. Syst., 19:3 (2007), 493–513 | DOI | MR | Zbl
[21] V. K. Mel'nikov, Phys. Lett. A, 133:9 (1988), 493–496 | DOI | MR
[22] V. K. Mel'nikov, Comm. Math. Phys., 126:1 (1989), 201–215 | DOI | MR | Zbl
[23] J. Leon, A. Latifi, J. Phys. A, 23:8 (1990), 1385–1403 | DOI | MR | Zbl
[24] D. J. Kaup, Phys. Rev. Lett., 59 (1987), 2063–2066 | DOI | MR
[25] Y. Zeng, Physica D, 73:3 (1994), 171–188 | DOI | MR | Zbl
[26] Y. Zeng, W.-X. Ma, Y. Shao, J. Math. Phys., 42:5 (2001), 2113–2128 | DOI | MR | Zbl
[27] M. Błaszak, J. Math. Phys., 36:9 (1995), 4826–4831 | DOI | MR | Zbl
[28] Y. Zeng, Y. Shao, W. Xue, J. Phys. A, 36:18 (2003), 5035–5043 | DOI | MR | Zbl
[29] R. Lin, Y. Zeng, W.-X. Ma, Physica A, 291:1–4 (2001), 287–298 | DOI | MR | Zbl
[30] Y. Huang, Y. Zeng, O. Ragnisco, J. Phys. A, 41:35 (2008), 355203 | DOI | MR | Zbl