Results 1 to 10 of about 189 (35)

An extension of the method of brackets. Part 1

Open Mathematics, 2017
The method of brackets is an efficient method for the evaluation of alarge class of definite integrals on the half-line. It is based on a small collection of rules, some of which are heuristic.
Gonzalez Ivan, Kohl Karen, Jiu Lin, Moll Victor H.   +3 more
doaj   +1 more source

Study of exact analytical solutions and various wave profiles of a new extended (2+1)-dimensional Boussinesq equation using symmetry analysis

Journal of Ocean Engineering and Science, 2022
This paper systematically investigates the exact solutions to an extended (2+1)-dimensional Boussinesq equation, which arises in several physical applications, including the propagation of shallow-water waves, with the help of the Lie symmetry analysis ...
Sachin Kumar, Setu Rani
doaj  

Estimación de la similitud semántica de tareas entre procesos de negocio de telecomunicaciones

Ingeniería y Ciencia, 2012
Como una medida para mejorar la competitividad en el mercado de las telecomunicaciones, actualmente las empresas del sector crean nuevos servicios de valor agregado, con el fin de ampliar su portafolio de servicios y garantizar bien sea la permanencia de
Leandro Ordóñez Ante, Adriana X Bastidas Narváez, Juan Carlos Corrales   +2 more
doaj   +1 more source

New conservation laws and exact solutions of the special case of the fifth-order KdV equation

Journal of Ocean Engineering and Science, 2022
The current study deals with the Kaup-Kupershmidt (KK) equation to construct formal Lagrangian, conservation laws, and exact solutions. KK is basically a special case of the 5th-order KdV equation. The conservation laws obtained by using the conservation
Arzu Akbulut, Melike Kaplan, Mohammed K.A. Kaabar   +2 more
doaj  

Abundant closed-form wave solutions and dynamical structures of soliton solutions to the (3+1)-dimensional BLMP equation in mathematical physics

Journal of Ocean Engineering and Science, 2022
The physical principles of natural occurrences are frequently examined using nonlinear evolution equations (NLEEs). Nonlinear equations are intensively investigated in mathematical physics, ocean physics, scientific applications, and marine engineering ...
Sachin Kumar, Amit Kumar
doaj  

Abundant analytical soliton solutions and different wave profiles to the Kudryashov-Sinelshchikov equation in mathematical physics

Journal of Ocean Engineering and Science, 2022
The generalized exponential rational function (GERF) method is used in this work to obtain analytic wave solutions to the Kudryashov-Sinelshchikov (KS) equation.
Sachin Kumar, Monika Niwas, Shubham Kumar Dhiman   +2 more
doaj  

Apéry limits and Mahler measures [PDF]

arXiv, 2021
It is the first paper which relates Ap\'ery limits to Mahler measures.
arxiv  

Approximations to -, di- and tri- logarithms [PDF]

J. Comput. Appl. Math. 202 (2007), no. 2, 450--459, 2004
We propose hypergeometric constructions of simultaneous approximations to polylogarithms. These approximations suit for computing the values of polylogarithms and satisfy 4-term Apery-like (polynomial) recursions.
arxiv   +1 more source

Specific wave profiles and closed-form soliton solutions for generalized nonlinear wave equation in (3+1)-dimensions with gas bubbles in hydrodynamics and fluids

Journal of Ocean Engineering and Science, 2023
Nonlinear evolution equations (NLEEs) are frequently employed to determine the fundamental principles of natural phenomena. Nonlinear equations are studied extensively in nonlinear sciences, ocean physics, fluid dynamics, plasma physics, scientific ...
Sachin Kumar, Ihsanullah Hamid, M.A. Abdou   +2 more
doaj  

On the Existence of Telescopers for P-recursive Sequences [PDF]

arXiv, 2023
We extend the criterion on the existence of telescopers for hypergeometric terms to the case of P-recursive sequences. This criterion is based on the concept of integral bases and the generalized Abramov-Petkovsek reduction for P-recursive sequences.
arxiv