Results 11 to 20 of about 4,021,890 (300)

Cylindrical wave diffraction by a rational wedge [PDF]

open access: yes, 1986
In this paper new expressions for the field produced by the diffraction of a cylindrical wave source by a wedge, whose angle can be expressed as a rational multiple of are given.
Rawlins, A D
core   +8 more sources

A new extended (2+1)-dimensional Kadomtsev–Petviashvili equation with N-solitons, periodic solutions, rogue waves, breathers and lump waves

open access: yesResults in Physics, 2022
In this work, a new extended integrable (2+1)-dimensional Kadomtsev–Petviashvili equation is proposed and investigated, which models slowly varying perturbation wave in dispersion fluids.
Lingfei Li   +3 more
doaj   +1 more source

On Solutions of an Extended Nonlocal Nonlinear Schrödinger Equation in Plasmas

open access: yesMathematics, 2020
The parity-time symmetric nonlocal nonlinear Schrödinger equation with self-consistent sources (PTNNLSESCS) is used to describe the interaction between an high-frequency electrostatic wave and an ion-acoustic wave in plasmas.
Yehui Huang   +4 more
doaj   +1 more source

Rational solutions of Painlevé systems. [PDF]

open access: yes, 2019
arXiv admin note: substantial text overlap with arXiv:1811.09274, arXiv:1912 ...
Gomez-Ullate, David   +2 more
openaire   +2 more sources

Analytical Solution to a Third-Order Rational Difference Equation

open access: yesThe Scientific World Journal, 2023
Inspired by some open conjectures in a rational dynamical system by G. Ladas and Palladino, in this paper, we consider the problem of solving a third-order difference equation. We comment the conjecture by Ladas.
Alvaro H. Salas S.   +2 more
doaj   +1 more source

Rational solutions of Riccati differential equation with coefficients rational [PDF]

open access: yesApplied Mathematics and Computation, 2011
This paper presents a simple and efficient method for determining the rational solution of Riccati differential equation with coefficients rational. In case the differential Galois group of the differential equation , is reducible, we look for the rational solutions of Riccati differential equation , by reducing the number of checks to be made and by
openaire   +4 more sources

Generalized exponential rational function method to the fractional shallow water wave phenomena

open access: yesPartial Differential Equations in Applied Mathematics, 2023
In this study we introduce the fractional shallow water wave phenomena, namely, the new extended (2 + 1)-dimensional fractional Boussinesq equation and in the following we apply the generalized exponential rational function for extracting the soliton ...
Ahmad Sharif, Mostafa Eslami
doaj   +1 more source

Spherical wave diffraction by a rational wedge [PDF]

open access: yes, 1986
In this paper we derive a new expression for the point source Green's function for the reduced wave equation, valid in an angular sector, whoseangle is equal to a rational multiple of . This Green's function is used to find new expressions for the field
Rawlins, A D
core   +6 more sources

Soliton solution, breather solution and rational wave solution for a generalized nonlinear Schrödinger equation with Darboux transformation

open access: yesScientific Reports, 2023
In this paper, the exact solutions of generalized nonlinear Schrödinger (GNLS) equation are obtained by using Darboux transformation(DT). We derive some expressions of the 1-solitons, 2-solitons and n-soliton solutions of the GNLS equation via ...
Chengcheng Fan, Li Li, Fajun Yu
doaj   +1 more source

Rational approximation of discrete data with asymptomatic behaviour [PDF]

open access: yes
This thesis is concerned with the least-squares approximation of discrete data that appear to exhibit asymptotic behaviour. In particular, we consider using rational functions as they are able to display a number of types of asymptotic behaviour.
Cooper, Philip
core   +4 more sources

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