Results 91 to 100 of about 58,852 (283)

The connection of the Degasperis-Procesi equation with the Vakhnenko equation [PDF]

, 2004
Travelling-wave solutions of the Degasperis-Procesi equation (DPE) are investigated. The solutions are characterized by two parameters. Hump-like, loop-like and coshoidal periodicwave solutions are found; hump-like, loop-like and peakon solitary-wave ...
Parkes, John, Vakhnenko, Vyacheslav O.
core  

Periodic and Solitary-Wave Solutions for a Variant of the K(3,2) Equation

International Journal of Differential Equations, 2011
We employ the bifurcation method of planar dynamical systems and qualitative theory of polynomial differential systems to derive new bounded traveling-wave solutions for a variant of the K(3,2) equation. For the focusing branch, we obtain hump-shaped and
Jiangbo Zhou, Lixin Tian
doaj   +1 more source

Solitary wave solution of flat surface internal geophysical waves with vorticity [PDF]

AIP Conference Proceedings, 2017
A fluid system bounded by a flat bottom and a flat surface with an internal wave and depth-dependent current is considered. The Hamiltonian of the system is presented and the dynamics of the system are discussed. A long-wave regime is then considered and extended to produce a KdV approximation. Finally, a solitary wave solution is obtained.
openaire   +3 more sources

Construction of Lean Coal Molecular Structure Model Based on Spectroscopic Characterization

Asia-Pacific Journal of Chemical Engineering, EarlyView.
ABSTRACT The chemical structure of coal exerts a profound influence on its properties and utilization pathways. A comprehensive analysis of coal's molecular structure is crucial for mitigating environmental pollution arising from coal combustion and improving the efficiency of coal utilization.
Song Liu, Hao Xia, Tao Ge, Yaling Bai, Shoulan Wang, Yunfang Liu   +5 more
wiley   +1 more source

Are there morpho‐acoustic patterns of adaptation in nonhuman primate ears? Testing the role of ecology and habitat in shaping ear morphology and function

The Anatomical Record, EarlyView.
Abstract Analysis of the variation in the bony structures of the inner and middle ear provides critical insights into functional morphology, as well as adaptive morphology across primates. In this study, we investigated whether ear morphology patterns are related to the ecological characteristics of species and their habitats to test two acoustic ...
Myriam Marsot, Rémi Laffont, Émilie Steimetz, Patricia Balaresque, Sébastien Couette   +4 more
wiley   +1 more source

A dancing bear, a colleague, or a sharpened toolbox? The cautious adoption of generative artificial intelligence technologies in digital humanities research

Journal of the Association for Information Science and Technology, EarlyView.
Abstract The emergence of generative artificial intelligence (GenAI) is reshaping the research landscape and carries significant implications for Digital Humanities (DH), a field long intertwined with computational methods and technologies. This study examines how DH scholars are adopting and critically evaluating GenAI in their research. Drawing on an
Rongqian Ma, Meredith Dedema, Andrew Cox
wiley   +1 more source

THE SOLITARY WAVE SOLUTIONS FOR A CLASS OF NONLINEAR WAVE EQUATIONS

Acta Physica Sinica, 1997
Some solitary wave solutions for a class of nonlinear wave equations utt－a1uxx＋a2ut＋a3u+a4u3=0 are obtained by homogeneous balance method and Wu-eliminition method. Many well-known equations in physics such as φ4 equation, Klein-Gordon equation, Duffing equation and telegraph equation are special cases of the wave equation presented in this paper.
null FAN EN-GUI, null ZHANG HONG-QING
openaire   +1 more source

Autistic Children With Speech Onset Delay Show Reversed Bias in Spectral Versus Temporal Auditory Processing

Autism Research, EarlyView.
ABSTRACT A recent “hierarchical” reinterpretation of the neurological basis of autism suggests that in autism with early language delay, perceptual processing may be favored over the integration of transmodal information. This model is largely based on neuroimaging findings relating to visual processing, but predicts a corresponding reorganization in ...
Luodi Yu, Shuyu Xie, Li Wang, Laurent Mottron   +3 more
wiley   +1 more source

Solitary wave solutions of the Vakhnenko–Parkes equation

Nonlinear Analysis, 2012
In this paper, two solitary wave solutions are obtained for the Vakhnenko–Parkes equation with power law nonlinearity by the ansatz method. Both topological as well as non-topological solitary wave solutions are obtained.
Fayequa Majid, Houria Triki, Tasawar Hayat, Omar M. Aldossary, Anjan Biswas   +4 more
doaj  

Comparisons of Numerical and Solitary Wave Solutions for the Stochastic Reaction–Diffusion Biofilm Model including Quorum Sensing

Mathematics
This study deals with a stochastic reaction–diffusion biofilm model under quorum sensing. Quorum sensing is a process of communication between cells that permits bacterial communication about cell density and alterations in gene expression.
Muhammad Zafarullah Baber, Nauman Ahmed, Muhammad Waqas Yasin, Muhammad Sajid Iqbal, Ali Akgül, Alicia Cordero, Juan R. Torregrosa   +6 more
doaj   +1 more source