Journal
OPTIK
Volume 172, Issue -, Pages 622-627Publisher
ELSEVIER GMBH, URBAN & FISCHER VERLAG
DOI: 10.1016/j.ijleo.2018.07.080
Keywords
Sine-Gordon equation; Complex forms of the simplified Hirota's method; multiple complex soliton solutions
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In this work, we study the integrable sine-Gordon equation which is related to the short pulse equation (SPE). We show that this equation passes the Painleve test to confirm its integrability. We introduce new complex forms of the simplified Hirota's method to formally derive multiple complex soliton solutions for this equation. Our results show that the complex simplified Hirota's method explicitly constructs new multiple complex soliton solutions for more integrable equations.
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