Journal
APPLIED MATHEMATICS AND COMPUTATION
Volume 200, Issue 1, Pages 437-443Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2007.11.032
Keywords
Burgers equation; KP equation; Hirota's bilinear method; tanh-coth method; multiple-soliton solutions
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In this work, we study a completely integrable dissipative equation. The Burgers equation is extended by using the sense of the Kadomtsev-Petviashvili (KP) equation. The new established Burgers-KP equation is studied by using the tanh-coth method to obtain kink solutions and periodic solutions. We also apply the powerful Hirota's bilinear method to establish exact N-soliton solutions for the derived integrable equation. (C) 2007 Elsevier Inc. All rights reserved.
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