soliton wave solutions
Recently Published Documents


TOTAL DOCUMENTS

30
(FIVE YEARS 22)

H-INDEX

8
(FIVE YEARS 4)

2022 ◽  
Vol 29 (1) ◽  
pp. 19-25
Author(s):  
Raghda A. M. Attia ◽  
Jian Tian ◽  
Dianchen Lu ◽  
José Francisco Gómez Aguilar ◽  
Mostafa M. A. Khater

Author(s):  
S. Şule Şener Kiliç

In this paper, we study the generalized ([Formula: see text])-dimensional Hietarinta equation which is investigated by utilizing Hirota’s bilinear method. Also, the bilinear form is obtained, and the N-soliton solutions are constructed. In addition, multi-wave and breather wave solutions of the addressed equation with specific coefficients are presented. Finally, under certain conditions, the asymptotic behavior of solutions is analyzed in both methods. Moreover, we employ the linear superposition principle to determine [Formula: see text]-soliton wave solutions for the generalized ([Formula: see text])-dimensional Hietarinta equation.


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.


2021 ◽  
Vol 6 (1) ◽  
pp. 4
Author(s):  
Md Ashik Iqbal ◽  
Ye Wang ◽  
Md Mamun Miah ◽  
Mohamed S. Osman

In this article, we construct the exact dynamical wave solutions to the Date–Jimbo–Kashiwara–Miwa equation with conformable derivative by using an efficient and well-established approach, namely: the two-variable G’/G,  1/G-expansion method. The solutions of the Date–Jimbo–Kashiwara–Miwa equation with conformable derivative play a vital role in many scientific occurrences. The regular dynamical wave solutions of the abovementioned equation imply three different fundamental functions, which are the trigonometric function, the hyperbolic function, and the rational function. These solutions are classified graphically into three categories, such as singular periodic solitary, kink soliton, and anti-kink soliton wave solutions. Furthermore, the effect of the fractional parameter on these solutions is discussed through 2D plots.


2021 ◽  
pp. 2150492
Author(s):  
Delmar Sherriffe ◽  
Diptiranjan Behera ◽  
P. Nagarani

The study of nonlinear physical and abstract systems is greatly important in order to determine the behavior of the solutions for Fractional Partial Differential Equations (FPDEs). In this paper, we study the analytical wave solutions of the time-fractional coupled Whitham–Broer–Kaup (WBK) equations under the meaning of conformal fractional derivative. These solutions are derived using the modified extended tanh-function method. Accordingly, different new forms of the solutions are obtained. In order to understand its behavior under varying parameters, we give the visual representations of all the solutions. Finally, the graphs are discussed and a conclusion is given.


2021 ◽  
Vol 53 (10) ◽  
Author(s):  
Haci Mehmet Baskonus ◽  
M. S. Osman ◽  
Hamood ur Rehman ◽  
Muhammad Ramzan ◽  
Muhammad Tahir ◽  
...  

Sign in / Sign up

Export Citation Format

Share Document