Results 91 to 100 of about 7,864 (230)

USING THE HIROTA METHOD TO INVESTIGATE THE INTEGRABILITY AND NEW EXACT SOLUTIONS OF THE NON-AUTONOMOUS NONLINEAR SCHRODINGER EQUATION

open access: yes, 2023
In this thesis research, we investigate the existence of Hirota bilinear systems for the non-autonomous nonlinear Schrodinger equation (NLSE) with position- and time-dependent coefficients and external potentials. To that end, we employ a semi-analytical
Albazlamit, Islam Majed
core  

What Are Asset Price Bubbles? A Survey on Definitions of Financial Bubbles

open access: yesJournal of Economic Surveys, Volume 40, Issue 3, Page 1572-1592, July 2026.
ABSTRACT Financial bubbles and crashes have repeatedly caused economic turmoil notably but not just during the 2008 financial crisis. However, both in the popular press as well as scientific publications, the meaning of bubble is sometimes unspecified.
Michael Heinrich Baumann   +1 more
wiley   +1 more source

Unification of integrable q-difference equations

open access: yesElectronic Journal of Differential Equations, 2015
This article presents a unifying framework for q-discrete equations. We introduce a generalized q-difference equation in Hirota bilinear form and develop the associated three-q-soliton solutions which are described in polynomials of power functions ...
Burcu Silindir, Duygu Soyoglu
doaj  

Q-soliton solution for two-dimensional q-Toda lattice

open access: yesҚарағанды университетінің хабаршысы. Физика сериясы, 2019
The Toda lattice is a non-linear evolution equation describing an infinite system of masses on a line that interacts through an exponential force. The paper analyzes the construction of soliton solution for the q-Toda lattice in the two-dimensional case.
Б.Б. Кутум, Г.Н. Шайхова
doaj   +1 more source

Impacts of Deforestation‐Driven Rainfall Reductions on Amazonia Forest Stability

open access: yesGeophysical Research Letters, Volume 53, Issue 11, 16 June 2026.
Abstract The stability of Amazonian vegetation is strongly influenced by land–atmosphere feedbacks. It has been hypothesized that deforestation‐induced precipitation decline may lead to widespread forest decline across the entire basin. Using a moisture‐tracking model, we quantify how deforestation across South America alters downwind rainfall and ...
Luís Gustavo Cattelan   +9 more
wiley   +1 more source

A Breed‐Specific SNP Panel With Higher Theoretical Exclusion Power and Practical Equivalence to International Standards for Parentage Testing in Pura Raza Española Horses

open access: yesAnimal Genetics, Volume 57, Issue 3, June 2026.
ABSTRACT Accurate parentage assignment is essential for managing livestock breeding and genetic improvement. This study evaluated a breed‐specific SNP panel (375 SNPs) for the Pura Raza Española (PRE) horse, comparing its performance against the traditional STR reference panel (18 microsatellite) and the international ISAG SNP core panel (378 SNPs ...
Nora Laseca   +5 more
wiley   +1 more source

Exact Solutions of Boussinesq Equations By Hirota Direct Method

open access: yesAfyon Kocatepe University Journal of Sciences and Engineering
Boussinesq Equations (BSQ) are the focus of this article. First, we provide a basic overview of Hirota's D operator, which is used to build multi-soliton solutions for equations involving nonlinear evolution. After that, some details regarding fourth-order BSQ are provided, and we use Hirota's direct method to find a one-solution solution.
Halide Gümüş, Abdullah Baykal
openaire   +2 more sources

Thicket Formation and Light Limitation Drive Patch‐Scale Vegetation Transitions in a Subtropical Savanna

open access: yesEcology and Evolution, Volume 16, Issue 6, June 2026.
Bush encroachment drives a shift from savanna dominated by Vachellia karroo to thicket vegetation. As canopies close, light availability declines, herbaceous cover and species richness decrease, and shade‐tolerant species replace open‐savanna taxa. Woody cover above ca.
Marina R. Khoza, Susanne Vetter
wiley   +1 more source

An approximate solution for a generalized Hirota-Satsom coupled (Kdv) equation

open access: yes, 2017
In this paper the Homotopy Analysis Method (HAM), is applied to find the approximate solution of Hirota-Satsuma coupled (KdV) equations, which don't need a small parameter for solution.
H.A. Wahab   +2 more
core  

Hirota-sato formalism on some nonlinear waves equations [PDF]

open access: yes, 2013
This article demonstrates that Hirota’s direct method or scheme for solving nonlinear waves equation is linked to Sato theory, and eventually resulted in the Sato equation.
Abdul Aziz, Zainal, Ali, Noor Aslinda
core   +1 more source

Home - About - Disclaimer - Privacy