Topic
Quintic function
About: Quintic function is a research topic. Over the lifetime, 1677 publications have been published within this topic receiving 26780 citations.
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TL;DR: In this article, the existence and stability of zero-velocity solitons in an optical waveguide equipped with a Bragg grating was investigated in which nonlinearity contains both cubic and quintic terms.
110 citations
TL;DR: In this paper, the stability of the solitary-wave solutions of the nonlinear cubic-quintic Schrodinger equation (NLCQSE) is examined numerically.
Abstract: The stability of the solitary-wave solutions of the nonlinear cubic–quintic Schrodinger equation (NLCQSE) is examined numerically. The solutions are found not to be solitons, but quasi-soliton behaviour is found to persist over wide regions of parameter space. Outside these regions dispersive and explosive behaviour is observed in solitary-wave interactions.
108 citations
TL;DR: In this paper, the existence and stability of localized solutions in the one-dimensional discrete nonlinear Schrodinger (DNLS) equation with a combination of competing self-focusing cubic and defocusing quintic onsite nonlinearities are analyzed.
108 citations
TL;DR: In this paper, the authors applied F-expansion algorithm to obtain highly dispersive optical solitons with cubic-quintic-septic nonlinearity, and their respective existence criteria are also indicated.
107 citations
TL;DR: In this paper, the authors show that the Fan-Jarvis-Ruan-Witten theory of W-curves in genus zero for quintic polynomials in five variables can be computed via a symplectic transformation.
Abstract: We compute the recently introduced Fan–Jarvis–Ruan–Witten theory of W-curves in genus zero for quintic polynomials in five variables and we show that it matches the Gromov–Witten genus-zero theory of the quintic three-fold via a symplectic transformation. More specifically, we show that the J-function encoding the Fan–Jarvis–Ruan–Witten theory on the A-side equals via a mirror map the I-function embodying the period integrals at the Gepner point on the B-side. This identification inscribes the physical Landau–Ginzburg/Calabi–Yau correspondence within the enumerative geometry of moduli of curves, matches the genus-zero invariants computed by the physicists Huang, Klemm, and Quackenbush at the Gepner point, and yields via Givental’s quantization a prediction on the relation between the full higher genus potential of the quintic three-fold and that of Fan–Jarvis–Ruan–Witten theory.
105 citations