model equation
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2022 ◽  
Vol 2022 ◽  
pp. 1-16
Author(s):  
Aniqa Zulfiqar ◽  
Jamshad Ahmad ◽  
Attia Rani ◽  
Qazi Mahmood Ul Hassan

The present article discovers the new soliton wave solutions and their propagation in nonlinear low-pass electrical transmission lines (NLETLs). Based on an innovative Exp-function method, multitype soliton solutions of nonlinear fractional evolution equations of NLETLs are established. The equation is reformulated to a fractional-order derivative by using the Jumarie operator. Some new results are also presented graphically to understand the real physical importance of the studied model equation. The physical interpretation of waves is represented in the form of three-dimensional and contour graphs to visualize the underlying dynamic behavior of these solutions for particular values of the parameters. Moreover, the attained outcomes are generally new for the considered model equation, and the results show that the used method is efficient, direct, and concise which can be used in more complex phenomena.


Author(s):  
Fco. Javier Toledo ◽  
M. Victoria Herranz ◽  
Jose Manuel Blanes ◽  
Vicente Galiano
Keyword(s):  

2021 ◽  
Vol 47 (6) ◽  
pp. 548-557
Author(s):  
Seog-Jong Lee ◽  
Byoung-Ug Kim ◽  
Young-Kyun Hong ◽  
Yeong-Seob Lee ◽  
Young-Hun Go ◽  
...  

2021 ◽  
Vol 2021 ◽  
pp. 1-14
Author(s):  
Koichi Narahara

A one-dimensional lattice in tunnel-diode (TD) oscillators supports self-sustained solitary pulses resulting from the balance between gain and attenuation. By applying the reduction theory to the device’s model equation, it is found that two relatively distant pulses moving in the lattice are mutually affected by a repulsive interaction. This property can be efficiently utilized in equalizing pulse positions to achieve jitter elimination. In particular, when two pulses rotate in a small, closed lattice, they separate evenly at the asymptotic limit. As a result, the lattice loop can provide an efficient platform to obtain low-phase-noise multiphase oscillatory signals. In this work, the interaction between two self-sustained pulses in a TD-oscillator lattice is examined, and the properties of interpulse interaction are validated by conducting several measurements using a test breadboarded lattice.


2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Bahrom Y. Irgashev

Abstract In the paper, similarity solutions are constructed for a model equation with multiple characteristics of an arbitrary integer order. It is shown that the structure of similarity solutions depends on the mutual simplicity of the orders of derivatives with respect to the variable x and y, respectively. Frequent cases are considered in which they are shown as fundamental solutions of well-known equations, expressed in a linear way through the constructed similarity solutions.


Author(s):  
Xiao Jian ◽  
Liu Yongning ◽  
Li Yong ◽  
Qiu Guibao ◽  
Liu Jinming

Nonlinearity ◽  
2021 ◽  
Vol 35 (1) ◽  
pp. 311-342
Author(s):  
Oreoluwa Adekoya ◽  
John P Albert

Abstract We study the existence of maximisers for a one-parameter family of Strichartz inequalities on the torus. In general, maximising sequences can fail to be precompact in L 2 ( T ) , and maximisers can fail to exist. We provide a sufficient condition for precompactness of maximising sequences (after translation in Fourier space), and verify the existence of maximisers for a range of values of the parameter. Maximisers for the Strichartz inequalities correspond to stable, periodic (in space and time) solutions of a model equation for optical pulses in a dispersion-managed fiber.


2021 ◽  
Vol 24 (2) ◽  
pp. 45-52
Author(s):  
Inad Wasa Nugroho ◽  
Siti Rahayu ◽  
Erna Andajani

Every tourist has a different motivation. One type of tourism that is currently growing very rapidly is the culinary industry. This study is to determine the experiential value of tourists in shaping the place food image of the city of Bandung and influencing behavioral intention. This causal type of quantitative research analyzes data using the Structural Equation Model equation. The results of the study found evidence of all research hypotheses proved to have a positive and significant influence relationship.


Author(s):  
Sheila Bishop ◽  
◽  
Agatha Nnubia ◽  

In this paper, we study Ulam-Hyers-Rassias stability of solutions for nonlocal stochastic Volterra equations. Sufficient conditions for the existence and stability of solutions are derived using the Gronwall lemma. The advantage of our model equation is that it allows for additional measurements leading to better results compared to models with local initial conditions. Examples are solved to illustrate the applications of the results.


2021 ◽  
Vol 2090 (1) ◽  
pp. 012140
Author(s):  
Hideshi Ishida ◽  
Koichi Higuchi ◽  
Taiki Hirahata

Abstract In this study, we are to present that a one-dimensional equation for vertically averaged temperature, modeled on a vertically thin, two-dimensional heat exchanger with variable top solid-fluid interface, recovers the two-dimensional thermal information, i.e. steady temperature and flux distribution on the top and temperature-fixed bottom faces. The relative error of these quantities is less than 5% with the maximum gradient of the height kept approximately below 0.5, while the computational time is reduced to 0.1–5%, when compared with direct two-dimensional computations, depending on the shape of the top face. The model equation, derived by the vertical averaging of the two-dimensional thermal conduction equation, is closed by an approximation that the heat exchanger is sufficiently thin in the sense that the second derivative of temperature with respect to the horizontal coordinate depends only on the coordinate. In this model equation, the fluid equation above the exchanger is decoupled by a conventional equation for the normal heat flux on the top surface. In principle, however, the coupling of the model and the fluid equation is possible through the temperature and heat flux on the top interface, recovered by the model equation. The type of mathematical modeling can be applicable to a wide variety of bodies with extremely small dimensions in some (coordinate-transformed) directions.


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