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Interactions among special embed-solitons for the (3+1)-dimensional Burgers equation |
| Zhang Wen-Ting (张雯婷), Dai Chao-Qing (戴朝卿), Chen Wei-Lu (陈未路) |
| School of Sciences, Zhejiang A & F University, Lin'an 311300, China |
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Abstract With the help of a modified mapping method and a new mapping method, we re-study the (3+1)-dimensional Burgers equation, and derive two families of variable separation solutions. By selecting appropriate functions in the variable separation solution, we discuss interaction behaviors among taper-like, plateau-type ring, and rectangle-type embed-solitons in the periodic wave background. All interaction behaviors among them are completely elastic, and no phase shift appears after interaction.
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Received: 05 August 2012
Revised: 15 October 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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02.30.Ik
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(Integrable systems)
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03.65.Ge
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(Solutions of wave equations: bound states)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11005092), the Undergraduate Scientific and Technological Innovation Project of Zhejiang Province of China (Grant No. 2012R412018), and the Undergraduate Innovative Base Program of Zhejiang A & F University. |
Corresponding Authors:
Dai Chao-Qing
E-mail: dcq424@126.com
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Cite this article:
Zhang Wen-Ting (张雯婷), Dai Chao-Qing (戴朝卿), Chen Wei-Lu (陈未路) Interactions among special embed-solitons for the (3+1)-dimensional Burgers equation 2013 Chin. Phys. B 22 040509
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