Results 41 to 50 of about 6,221 (189)

The Tanh Methods for the Hirota Equations

International Journal of Computer Applications, 2014
paper we applied the tanh method for analytic study of the nonlinear equations of partial differential equations(PDEs).The proposed method gives more general exact traveling wave solutions without much extra effort. Three applications from literature of nonlinear equation of PDEs were solved by the method. The calculations demonstrate the effectiveness
Zain F. Abu Shaeer, Kamal Raslan
openaire   +1 more source

Spatiotemporal Fire Patterns and Post‐fire Forest Change in Peru (2000–2021)

Land Degradation &Development, EarlyView.
ABSTRACT Fire is increasingly more frequent and severe in many tropical regions, leading to significant forest loss, diminished biodiversity, and reduced Nature's contributions to people (NCPs). In this study, we analyzed the spatiotemporal patterns of fire in Peru and its regions, focusing on: (1) burned area, (2) size, and (3) number of fires, using ...
Maricel Móstiga, Dolors Armenteras, Jordi Vayreda, Javier Retana   +3 more
wiley   +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

Analytical and Numerical Soliton Solutions of the Shynaray II‐A Equation Using the G′G,1G$$ \left(\frac{G^{\prime }}{G},\frac{1}{G}\right) $$‐Expansion Method and Regularization‐Based Neural Networks

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Nonlinear differential equations play a fundamental role in modeling complex physical phenomena across solid‐state physics, hydrodynamics, plasma physics, nonlinear optics, and biological systems. This study focuses on the Shynaray II‐A equation, a relatively less‐explored parametric nonlinear partial differential equation that describes ...
Aamir Farooq, H. W. A. Riaz, Sadique Rehman, M. Mamun Miah, Wen Xiu Ma   +4 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

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

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

Line-soliton, lump and interaction solutions to the (2+1)-dimensional Hirota-Satsuma-Ito equation with time-dependent via Hirota bilinear forms

Results in Physics, 2023
In this paper, we consider the (2+1)-dimensional generalized Hirota-Satsuma-Ito equation with time-dependent, which has applications in describing the propagation of shallow water waves.
Deniu Yang, Xujie Jiang
doaj   +1 more source

Hints on the Hirota Bilinear Method

Acta Physica Polonica A, 2007
We discuss four stages of the Hirota bilinear method, for construction of soliton solutions to partial difierential equations: the proper substitution to express the equation in the bilinear variables (1), reduction of the excess degrees of freedom (2), the perturbation scheme (3), and solution of the system of equations at the successive orders of ...
openaire   +1 more source

Soliton solutions of q-Toda lattice by Hirota direct method [PDF]

Advances in Difference Equations, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources