Abstract
Using extended homogenous balance method, we obtain Bäcklund transformation (BT) and a linear partial differential equation of higher-order Broer-Kaup (HBK) system. As a result, multisoliton and single soliton and other exact solutions of (2+1)-dimensional HBK system are given. By analyzing single soliton solution, we get some dromion solutions.
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R.J. Scott: Report of the 7th meeting of the British Association for the Advancement of science, Liverpool, 1838, p. 417.
C.S. Gardner, J.M. Greene, M.D. Kruskal, and R.M. Miura: Phys. Rev. Lett.191 (1967) 1905.
M. Boiti, J.J.P. Leon, M. Penpinelli, and F. Penpinelli: Phys. Lett. A132 (1988) 432.
S.Y. Lou: J. Phys. A26 (1993) 4387.
R. Radha and M. Lakshmanan: J. Math. Phys.35 (1994) 4746.
S.Y. Lou: J. Phys. A28 (1995) 7227.
S.Y. Lou: J. Phys. A29 (1996) 4209.
S.Y. Lou and X.B. Hu: J. Phys. A27 (1994) L207.
C.L. Bai, C.J. Bai, and B.Z. Xu: Chin. Phys.9 (2000) 161.
C.L. Bai: Commun. Theor. Phys.34 (2000) 729;35 (2001) 409.
S.Y. Lou and X.B. Hu: J. Math. Phys.38 (1997) 6401.
R. Radha and M. Lakshmanan: Phys. Lett. A197 (1995) 7.
J. Hietarinta: Phys. Lett. A149 (1990) 113.
C.L. Bai: Commun. Theor. Phys.41 (2004) 15; 875.
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This work is supported by the National Natural Science Foundation of China and the Natural Science Foundation of Schandong Province in China.
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Bai, Cl., Zhao, H. Dromion and other exact solutions of (2+1)-dimensional higher-order Broer-Kaup system. Czech J Phys 54, 927–939 (2004). https://doi.org/10.1023/B:CJOP.0000042645.25827.9f
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DOI: https://doi.org/10.1023/B:CJOP.0000042645.25827.9f