13,057 research outputs found

    The Rogue Wave and breather solution of the Gerdjikov-Ivanov equation

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    The Gerdjikov-Ivanov (GI) system of qq and rr is defined by a quadratic polynomial spectral problem with 2×22 \times 2 matrix coefficients. Each element of the matrix of n-fold Darboux transformation of this system is expressed by a ratio of (n+1)×(n+1)(n+1)\times (n+1) determinant and n×nn\times n determinant of eigenfunctions, which implies the determinant representation of q[n]q^{[n]} and r[n]r^{[n]} generated from known solution qq and rr. By choosing some special eigenvalues and eigenfunctions according to the reduction conditions q[n]=(r[n])q^{[n]}=-(r^{[n]})^*, the determinant representation of q[n]q^{[n]} provides some new solutions of the GI equation. As examples, the breather solutions and rogue wave of the GI is given explicitly by two-fold DT from a periodic "seed" with a constant amplitude.Comment: 8 figures, 17 page

    Resonant Leptogenesis and Verifiable Seesaw from Large Extra Dimensions

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    In the presence of large extra dimensions, the fundamental scale could be as low as a few TeV. This yields leptogenesis and seesaw at a TeV scale. Phenomenologically two TeV-scale Majorana fermions with a small mass split can realize a resonant leptogenesis whereas a TeV-scale Higgs triplet with a small trilinear coupling to the standard model Higgs doublet can give a verifiable seesaw. We propose an interesting scenario where the small parameters for the resonant leptogenesis and the type-II seesaw can be simultaneously generated by the propagation of lepton number violation from distant branes to our world.Comment: 5 pages. More discussions and references. Published in PR

    The Effectiveness of Facilitated Business-to-Business Word-of Mouth Marketing Strategies on Target Participants’ Information Sharing Behavior

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    This study examines the impact of facilitated business-to-business (B2B) word-of-mouth (WOM) on participants' information transmission decisions. We also examine characteristics of WOM participants and determine the types of participants who spread information. Understanding WOM participants' information sharing decisions is extremely important to agribusinesses using WOM in their marketing mix. For an expendable crop input, the most important factor in determining whether producers share WOM initiative information with peers is how often they are asked for advice by their peers. In contrast, for an expendable companion animal product the most important factor in determining whether veterinarians share WOM initiative information with peers is whether they had a satisfactory experience in the WOM initiative.facilitated B2B WOM, effectiveness of facilitated B2B WOM, indirect impact of facilitated B2B WOM, agribusiness firms’ information sharing decisions, Agribusiness, Industrial Organization, Marketing, Teaching/Communication/Extension/Profession, Q10, Q13,

    Tunable Frequency Comb Generation from a Microring with a Thermal Heater

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    We demonstrate a novel comb tuning method for microresonator-based Kerr comb generators. Continuously tunable, low-noise, and coherent comb generation is achieved in a CMOS-compatible silicon nitride microring resonator.Comment: submitted to CLEO201
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