Journal
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Volume 45, Issue 8, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1751-8113/45/8/085202
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An integrable coupled short pulse (CSP) equation is proposed for the propagation of ultra-short pulses in optical fibers. Based on two sets of bilinear equations to a two-dimensional Toda lattice linked by a Backlund transformation, and an appropriate hodograph transformation, the proposed CSP equation is derived. Meanwhile, its N-soliton solutions are given by the Casorati determinant in a parametric form. The properties of one-and two-soliton solutions are investigated in detail. Same as the short pulse equation, the two-soliton solution turns out to be a breather type if the wave numbers are complex conjugate. We also illustrate an example of soliton-breather interaction.
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