Interactions among special embed-solitons for the (3+1)-dimensional Burgers equation |
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Authors: | Zhang Wen-Ting Dai Chao-Qing Chen Wei-Lu |
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Affiliation: | 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 the interaction behaviors among taper-like, plateau-type rings, and rectangle-type embed-solitons in the periodic wave background. All the interaction behaviors are completely elastic, and no phase shift appears after interaction. |
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Keywords: | (+)-dimensional Burgers equation modified mapping method interaction between special embed-solitons |
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