Journal
APPLIED MATHEMATICS LETTERS
Volume 88, Issue -, Pages 1-7Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2018.08.004
Keywords
Negative-order kdV equation; Negative-order MKdV equation; Multiple complex soliton solutions
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In this work we show that the integrable negative-order Korteweg-de Vries (nKdV) and the integrable negative-order modified Korteweg-de Vries (nMKdV) equation admit multiple complex soliton solutions. To achieve this goal, we introduce two complex forms of the simplified Hirota's method, the first works effectively for the nKdV equation, and the other form is nicely applicable for the nMKdV equation. We believe that the newly proposed complex forms and the obtained findings will shed light on complex solitons of other integrable equations. (C) 2018 Elsevier Ltd. All rights reserved.
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