In recent years, numerous scientists committed to the research of water waves, the shallow water wave can not only describe the freedom of the shallow surface under the gravitational influence of ...

The Hirota equation is a higher-order non-linear Schrödinger equation by incorporating third-order dispersion. Two pairs of non-local Hirota equations are studied. One is a parity transformed ...

A new set of modified Legendre rational functions which are mutually orthogonal in L2(0, + ∞) is introduced. Various projection and interpolation results using the modified Legendre rational functions ...

We present some relations that allow the efficient approximate inversion of linear differential operators with rational function coefficients. We employ expansions in terms of a large class of ...

Abstract: The so-called non-linear vector fitting (NL-VF) technique was recently introduced as a new method for rational function approximation in the frequency domain (FD). While the classical vector ...

Department of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, China. In recent years, with the emergence of high-powered computer and the development of ...

Abstract: The study of road traffic flow theory utilizes physics and applied mathematics to analyze relevant parameters and their relationships quanlitatively and quantitatively, in order to explore ...