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 paper, the discrete complex cubic-quintic Ginzburg-Landau (dCCQGL) equation with a non-local quintic term was studied analytically.
22 citations
TL;DR: In this article , the cubic-quintic nonlinear Schrödinger equation (CQ-NLSE) was used to describe the propagation properties of nonlinear periodic waves (PW) in an optical fiber.
Abstract: In this paper, we study the cubic-quintic nonlinear Schrödinger equation (CQ-NLSE) to describe the propagation properties of nonlinear periodic waves (PW) in an optical fiber . We find chirped periodic waves (CPW) with some Jacobi elliptic functions (JEF). We also obtain some solitary waves (SW) like dark, bright, hyperbolic and singular solitons. The chirp that corresponds to each of these optical solitons is also determined. The pair intensity is shown to be related to the nonlinear chirp, which is determined by self-frequency shift and pause self-steepening (SS). The shape of profile for these waves will also be display.
21 citations
TL;DR: In this paper, the authors derived accurate end conditions for quintic spline interpolation at equally spaced knots, in terms of available function values at the knots and lead to 0(h) covergence uniformly on the interval of interpolation.
Abstract: Accurate end conditions are derived for quintic spline interpolation at equally spaced knots. These conditions are in terms of available function values at the knots and lead to 0(h) covergence uniformly on the interval of interpolation.
21 citations
TL;DR: In this paper, the quintic non-linear Schrodinger equation on a two-dimensional torus is studied and the main point is to reduce to a sufficiently simple toy model, similar in many ways to the one used in the case of the cubic NLS.
Abstract: We study the quintic Non Linear Schrodinger equation on a two dimensional torus and exhibit orbits whose Sobolev norms grow with time. The main point is to reduce to a sufficiently simple toy model, similar in many ways to the one used in the case of the cubic NLS. This requires an accurate combinatorial analysis.
21 citations
TL;DR: Sixth order accurate method based on quintic nonpolynomial spline function for the numerical solution of 2μth order two point BVPs is presented, which gives better approximations than existing polynomial spline and finite difference methods and has a lower computational cost.
21 citations