Results 71 to 80 of about 7,864 (230)

Bilinear form and soltion solutions for (3+1)-dimensional negative-order KdV-CBS equation

Open Physics
This article investigates a significant mathematical model for multiwave interactions. For the first time, the bilinear form of the (3+1)-dimensional negative-order Korteweg–de Vries (KdV)-Calogero–Bogoyavlenskii–Schiff (CBS) equation is derived using ...
Chen Dan
doaj   +1 more source

Exact Solution of (4+1)-Dimensional Boiti–Leon–Manna–Pempinelli Equation

Advances in Mathematical Physics, 2023
Based on the Hirota bilinear method, using the heuristic function method and mathematical symbolic computation system, various exact solutions of the (4+1)-dimensional Boiti–Leon–Manna–Pempinelli equation including the block kink wave solution, block ...
Qili Hao
doaj   +1 more source

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

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

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

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

Hyperbolic, Trigonometric, and Rational Function Solutions of Hirota-Ramani Equation via -Expansion Method [PDF]

, 2011
The -expansion method is proposed to construct the exact traveling solutions to Hirota-Ramani equation: , where . Our work is motivated by the fact that the -expansion method provides not only more general forms of solutions but also periodic and ...
Rasoul Abazari, Reza Abazari
core   +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

A case of maturity‐onset diabetes of the young with a pathogenic HNF1A variant and a coexisting NEUROD1 variant

Journal of Diabetes Investigation, EarlyView.
ABSTRACT Aims/Introduction Maturity‐onset diabetes of the young (MODY) accounts for at least 1%–5% of diabetes cases and is usually caused by single gene variants. Accurate diagnosis of MODY is important for effective management, especially in young individuals who are lean and lack islet autoantibodies.
Tomofumi Takayoshi, Yushi Hirota, Kenji Sugawara, Aki Sugano, Mika Ohta, Takehito Takeuchi, Akane Yamamoto, Wataru Satake, Yutaka Takaoka, Wataru Ogawa   +9 more
wiley   +1 more source