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New Mechanical Feature of Two-Solitary Wave to the KdV Equation |
DAI Zheng-De1**,WU Feng-Xia2,LIU Jun2, and MU Gui2 |
1School of Mathematics and Statistics, Yunnan University, Kunming 650091
2College of Mathematics and Information Science, Qujing Normal University, Qujing 655000 |
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Cite this article: |
DAI Zheng-De, WU Feng-Xia, LIU Jun and MU Gui 2012 Chin. Phys. Lett. 29 040201 |
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Abstract New breather solitary solution and two-solitary solutions depending on constant equilibrium solution to the Korteweg de Vries equation are obtained by using an extended homoclinic test approach. A new mechanical feature of a two-solitary wave, namely, dependence of propagation direction and shape on position of equilibrium point, is investigated.
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Received: 15 November 2011
Published: 04 April 2012
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PACS: |
02.30.Jr
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(Partial differential equations)
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47.20.Ky
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(Nonlinearity, bifurcation, and symmetry breaking)
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47.35.Lf
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(Wave-structure interactions)
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[1] Ablowitz M J and Clarkson P A 1991 Solitons, Nonlinear Evolution Equations and Inverse Scattering (Cambridge: Cambridge University)[2] Hirota R 1971 Phys. Rev. Lett. 27 1192[3] Sawada K and Kotera T 1974 Prog. Theor. Phys. 51 1355[4] Boiti M, Leon J, Manna M and Pempinelli F 1986 Inverse Prob. 2 271[5] He J H 2008 Int. J. Mod. Phys. B 22 3487[6] Zhang S 2008 Appl. Math. Comput. 188 1[7] Zhang S 2008 Appl. Math. Comput. 197 128[8] Dai Z D, Liu J and Li D L 2009 Appl. Math. Comput. 207 360[9] Dai Z D, Li S L, Li D L and Zhu A J 2007 Chin. Phys. Lett. 24 1429 |
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