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Non-completely elastic interactions in (2+1)-dimensional dispersive long wave equation |
| Chen Wei-Lu (陈未路), Zhang Wen-Ting (张雯婷), Zhang Li-Pu (张立溥), Dai Chao-Qing (戴朝卿 ) |
| School of Sciences, Zhejiang Agriculture and Forestry University, Lin'an 311300, China |
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Abstract With the help of a modified mapping method, we obtain two kinds of variable separation solutions with two arbitrary functions for the (2+1)-dimensional dispersive long wave equation. When selecting appropriate multi-valued functions in the variable separation solution, we investigate the interactions among special multi-dromions, dromion-like multi-peakons, and dromion-like multi-semifoldons, which all demonstrate non-completely elastic properties.
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Received: 02 May 2012
Revised: 28 May 2012
Accepted manuscript online:
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PACS:
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05.45.Yv
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(Solitons)
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03.65.Ge
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(Solutions of wave equations: bound states)
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| Fund: Supported by the National Natural Science Foundation of China (Grant No. 11005092), the Program for Innovative Research Team of Young Teachers, China (Grant No. 2009RC01), the Undergraduate Innovative Base of Zhejiang A & F University, China, and the Zhejiang Province Undergraduate Scientific and Technological Innovation Project, China (Grant No. 2012R412018). |
Corresponding Authors:
Dai Chao-Qing
E-mail: dcq424@126.com
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Cite this article:
Chen Wei-Lu (陈未路), Zhang Wen-Ting (张雯婷), Zhang Li-Pu (张立溥), Dai Chao-Qing (戴朝卿 ) Non-completely elastic interactions in (2+1)-dimensional dispersive long wave equation 2012 Chin. Phys. B 21 110507
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