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The Hirota bilinear method for the coupled Burgers equation and the high-order Boussinesq-Burgers equation 被引量:2

The Hirota bilinear method for the coupled Burgers equation and the high-order Boussinesq-Burgers equation
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摘要 This paper studies the coupled Burgers equation and the high-order Boussinesq-Burgers equation. The Hirota bilinear method is applied to show that the two equations are completely integrable. Multiple-kink (soliton) solutions and multiple-singular-kink (soliton) solutions are derived for the two equations. This paper studies the coupled Burgers equation and the high-order Boussinesq-Burgers equation. The Hirota bilinear method is applied to show that the two equations are completely integrable. Multiple-kink (soliton) solutions and multiple-singular-kink (soliton) solutions are derived for the two equations.
机构地区 School of Science
出处 《Chinese Physics B》 SCIE EI CAS CSCD 2011年第1期69-75,共7页 中国物理B(英文版)
基金 Project supported by the National Natural Science Foundation of China(Grant Nos.10871117 and 10571110)
关键词 coupled Burgers equation high-order Boussinesq-Burgers equation Hirota's bilinear method coupled Burgers equation, high-order Boussinesq-Burgers equation, Hirota's bilinear method
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参考文献22

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  • 2Hirota R 2004 The Direct Method in Soliton Theory (Cambridge: Cambridge University Press).
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