Results 51 to 60 of about 6,361 (199)

Unveiling New Perspectives on the Hirota–Maccari System With Multiplicative White Noise

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this study, we delve into the stochastic Hirota–Maccari system, which is subjected to multiplicative noise according to the Itô sense. The stochastic Hirota–Maccari system is significant for its ability to accurately model how stochastic affects nonlinear wave propagation, providing valuable insights into complex systems like fluid dynamics
Mohamed E. M. Alngar, Khaled A. Gepreel, Reham M. A. Shohib, Yakup Yildirim   +3 more
wiley   +1 more source

Diversity of Interaction Solutions of a Shallow Water Wave Equation

Complexity, 2019
In this paper, we study the diversity of interaction solutions of a shallow water wave equation, the generalized Hirota–Satsuma–Ito (gHSI) equation. Using the Hirota direct method, we establish a general theory for the diversity of interaction solutions,
Jian-Ping Yu, Wen-Xiu Ma, Bo Ren, Yong-Li Sun, Chaudry Masood Khalique   +4 more
doaj   +1 more source

Multiple-soliton solutions and a generalized double Wronskian determinant to the ( 2 + 1 ) $(2+1)$ -dimensional nonlinear Schrödinger equations

Advances in Difference Equations, 2017
A ( 2 + 1 ) $(2+1)$ -dimensional nonlinear Schrödinger equation is mainly discussed. Based on the Hirota direct method and the Wronskian technique, multiple-soliton solutions and a generalized double Wronskian determinant are obtained, respectively.
Liu Gao, Li Cheng
doaj   +1 more source

Range‐wide sampling reveals cryptic lineages but largely conserved mycorrhizal associations in the Japanese fairy lantern Thismia kobensis

PLANTS, PEOPLE, PLANET, EarlyView.
The jewel‐like flowers of Thismia are as rare as they are beautiful, often recorded from only a single site per species. Access to 15 populations of T. kobensis has enabled an uncommon, range‐wide assessment of morphology, genetics, and fungal partners. Our analyses showed that T.
Kenji Suetsugu, Kazuma Takizawa, Kazuki Inui, Akihiro Nishimura, Shun K. Hirota   +4 more
wiley   +1 more source

Introduction to the Hirota Direct Method

, 2021
The primary subject matter of the report is the Hirota Direct Method, and the primary goal of the report is to describe and derive the method in detail, and then use it to produce analytic soliton solutions to the Boussinesq equation and the Korteweg-de Vries (KdV) equation.
Capetillo, Pascal, Hornewall, Jonathan
openaire   +1 more source

The pistil as a traffic light: Yellow‐to‐red color change likely influences pollinator visitation patterns in Saxifraga fortunei (Saxifragaceae)

PLANTS, PEOPLE, PLANET, EarlyView.
Flowers can communicate reproductive status to pollinators through visual cues. In Saxifraga fortunei, pistils often changed from yellow to red after pollination, and hoverflies and honeybees preferentially visited flowers with yellow pistils. This pattern suggests that a post‐pollination color shift confined to the pistil can reduce revisits to ...
Kazuma Takizawa, Masayasu Furukawa, Kenji Suetsugu   +2 more
wiley   +1 more source

Application of the Elzaki iterative method to fractional partial differential equations

Boundary Value Problems, 2023
In this article, we present an iterative transformation method for solving fractional partial differential equations that combines the Elzaki transform and iterative methods.
Yong He, Wei Zhang
doaj   +1 more source

Gauge symmetry and the generalization of Hirota's bilinear method [PDF]

Journal of Nonlinear Mathematical Physics, 1996
The author discusses an extension of Hirota's bilinear formalism leading to any degree of multilinearity. The main guideline in this generalization is gauge-invariance: the original nonlinear equation should be transformed into a form that is invariant under a gauge transformation \(f_i\to e^{a\cdot x} f_i\).
openaire   +2 more sources

Multiple barriers maintain species boundaries in sympatric brood‐site deceptive Gastrodia orchids

PLANTS, PEOPLE, PLANET, EarlyView.
Societal Impact Statement Gastrodia orchids are inconspicuous forest plants that lack chlorophyll and obtain carbon from fungi. Their dull‐colored, ground‐level flowers are often hidden among leaf litter, yet they rely on small flies for pollination.
Kenji Suetsugu, Akihiro Nishimura, Shun K. Hirota, Masahito T. Kimura   +3 more
wiley   +1 more source

Finite size spectrum of SU(N) principal chiral field from discrete Hirota dynamics

Nuclear Physics B, 2016
Using recently proposed method of discrete Hirota dynamics for integrable (1+1)D quantum field theories on a finite space circle of length L we derive and test numerically a finite system of nonlinear integral equations for the exact spectrum of energies
Vladimir Kazakov, Sébastien Leurent
doaj   +1 more source