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The Hirota bilinear method for the coupled Burgers equation and the high-order Boussinesq—Burgers equation

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2011 Chinese Physical Society and IOP Publishing Ltd
, , Citation Zuo Jin-Ming and Zhang Yao-Ming 2011 Chinese Phys. B 20 010205 DOI 10.1088/1674-1056/20/1/010205

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1 School of Science, Shandong University of Technology, Zibo 255049, China

Dates

  1. Received 14 June 2010
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1674-1056/20/1/010205

Abstract

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.

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