Multiple soliton solutions for a (2 + 1)-dimensional integrable KdV6 equation |
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| Institution: | 1. School of Computer Science and Engineering, Beijing Technology and Business University, Beijing, 100048, PR China;2. School of Mathematics and Statistics, Beijing Technology and Business University, Beijing, 100048, PR China |
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| Abstract: | In this work, a completely integrable (2 + 1)-dimensional KdV6 equation is investigated. The Cole-Hopf transformation method combined with the Hirota’s bilinear sense are used to determine two sets of solutions for this equation. Multiple soliton solutions are formally derived to emphasize its complete integrability. Moreover, multiple singular soliton solutions are also developed for this equation. The resonance relation for this equation does not exist. |
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