Results 51 to 60 of about 659,155 (253)

Solitons, Lumps, Breathers, and Interaction Phenomena for a (2+1)-Dimensional Variable-Coefficient Extended Shallow-Water Wave Equation

open access: yesMathematics
In this paper, soliton solutions, lump solutions, breather solutions, and lump-solitary wave solutions of a (2+1)-dimensional variable-coefficient extended shallow-water wave (vc-eSWW) equation are obtained based on its bilinear form.
Tianwei Qiu   +4 more
doaj   +1 more source

M-lump, N-soliton solutions, and the collision phenomena for the (2 + 1)-dimensional Date-Jimbo-Kashiwara-Miwa equation

open access: yesResults in Physics, 2020
In this work, N-soliton waves, fusion solutions, mutiple M-lump solutions and the collision phenomena between one-M-lump and one-, two-soliton solutions to the (2 + 1)-dimensional Date-Jimbo-Kashiwara-Miwa equation are successfully revealed.
Hajar F. Ismael   +3 more
doaj   +1 more source

Different Wave Structures for the (2+1)-Dimensional Korteweg-de Vries Equation

open access: yesAdvances in Mathematical Physics, 2022
In this article, a (2+1)-dimensional Korteweg-de Vries equation is investigated. Abundant periodic wave solutions are obtained based on the Hirota’s bilinear form and a direct test function.
Chun-Rong Qin   +4 more
doaj   +1 more source

N-soliton, breather, M-lump and interaction dynamics for a (2 + 1)-dimensional KdV equation with variable coefficients

open access: yesResults in Physics, 2023
The main purpose of this paper is to learn N-soliton, M-lump, breather solutions and interaction solutions for a KdV equation with variable coeffificients.
Deniu Yang
doaj   +1 more source

Lump, lump-periodic, lump-soliton and multi soliton solutions for the potential Kadomtsev-Petviashvili type coupled system with variable coefficients. [PDF]

open access: yesSci Rep
In this article, the potential Kadomtsev-Petviashvili (pKP) type coupled system with variable coefficients is studied, which have many applications in wave phenomena and soliton interactions in a two-dimensional space with time. In this framework, Hirota
Chen H   +8 more
europepmc   +2 more sources

Implantable Ionic Memristors Based on Natural Polymer Heterojunctions

open access: yesAdvanced Functional Materials, EarlyView.
We report an implantable natural polymer‐based ionic memristor composed of hyaluronic acid, chitosan, and PDMS. The device achieved 98.94% accuracy in MNIST classification while reducing training time by 36.8% compared with a conventional artificial neural network (ANN).
Dong‐yup Lee   +6 more
wiley   +1 more source

Mixed Rational Lump-Solitary Wave Solutions to an Extended (2+1)-Dimensional KdV Equation

open access: yesAdvances in Mathematical Physics, 2021
Based on the bilinear method, rational lump and mixed lump-solitary wave solutions to an extended (2+1)-dimensional KdV equation are constructed through the different assumptions of the auxiliary function in the trilinear form.
Zhigang Yao, Huayong Xie, Hui Jie
doaj   +1 more source

Localized waves and their novel interaction solutions for a dimensionally reduced (2 + 1)-dimensional Kudryashov Sinelshchikov equation

open access: yesResults in Physics, 2023
Propagation of the pressure waves in a liquid with gas bubbles is an important topic in the field of fluid dynamics and mathematical physics. The Kudryashov-Sinelshchikov equation is one of the models that describe the propagation of nonlinear waves in a
Md. Nuruzzaman   +4 more
doaj   +1 more source

An Edible Chitosan‐Based Acoustic Sensor for Sound‐Responsive Actuation in Edible Robots

open access: yesAdvanced Functional Materials, EarlyView.
This study introduces an edible acoustic sensor for robotic food and edible robotics. Built from a chitosan piezoelectric film between gold electrodes, the sensor enables acoustic communication through ON/OFF keying. Integrated into an edible robot with pneumatically actuated arms and neck, it responds to high‐frequency tones.
Valerio Francesco Annese   +8 more
wiley   +1 more source

Creation of weakly interacting lumps by degeneration of lump chains in the KP1 equation

open access: yes, 2023
We present two different paths to degenerate normally interacting lump chains into anomalously interacting lump patterns within the Kadomtsev–Petviashvili (KP1) equation.
Stepanyants, Yury, Zhang, Zhao, Guo, Qi
core   +1 more source

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