Zobrazeno 1 - 10
of 8 410
pro vyhledávání: '"Solitary Wave"'
Dark and bright soliton phenomena of the generalized time-space fractional equation with gas bubbles
Autor:
Musawa Yahya Almusawa, Hassan Almusawa
Publikováno v:
AIMS Mathematics, Vol 9, Iss 11, Pp 30043-30058 (2024)
The objective of this work is to provide the method of getting the closed-form solitary wave solution of the fractional $ (3+1) $-generalized nonlinear wave equation that characterizes the behavior of liquids with gas bubbles. The same phenomena are
Externí odkaz:
https://doaj.org/article/46c50649abf6475eb2e6094ce1a4b98a
Autor:
Abeer S. Khalifa, Hamdy M. Ahmed, Niveen M. Badra, Jalil Manafian, Khaled H. Mahmoud, Kottakkaran Sooppy Nisar, Wafaa B. Rabie
Publikováno v:
AIMS Mathematics, Vol 9, Iss 10, Pp 27704-27720 (2024)
This study is focusing on the integrable (3+1)-dimensional equation that combines the potential Kadomtsev-Petviashvili (pKP) equation with B-type Kadomtsev-Petviashvili (BKP) equation, also known as the pKP-BKP equation. The idea of combining integra
Externí odkaz:
https://doaj.org/article/6e4318370adb475d950346c9b173df3f
Publikováno v:
Jurnal Lebesgue, Vol 5, Iss 2, Pp 1060-1065 (2024)
The tanh method is known as an effective method for solving partial differential equations and obtaining traveling wave solutions. While well-used in continuous systems, its application to discrete systems (nonlinear difference-differential equations
Externí odkaz:
https://doaj.org/article/6685ad9885aa4cf0ba198f685bf28ae1
Publikováno v:
Ain Shams Engineering Journal, Vol 15, Iss 12, Pp 103085- (2024)
This article discusses a new integrable wave equation in (3+1)-dimensions that describes shallow water waves. The auto–Bäcklund and Cole-Hopf transformations are constructed by means of the homogeneous balance approach, which results in numerous n
Externí odkaz:
https://doaj.org/article/9a0c064f44f24e509b266febf6c29e11
Autor:
Дiпсiха Маханта, Джнандйотi Сарма
Publikováno v:
East European Journal of Physics, Iss 4 (2024)
TThis paper presents a comprehensive study in a collisionless plasma composed of charged state of heavy positive ion and light positive as wel as negative ion. By deriving the Korteweg-de Vries (KdV) equation and by using its standard solution we ana
Externí odkaz:
https://doaj.org/article/f7c65894071f4c0e9c48fdf20484099a
Publikováno v:
Partial Differential Equations in Applied Mathematics, Vol 12, Iss , Pp 100983- (2024)
This paper focuses on obtaining exact solutions for the nonlinear Van der Waals gas system using the modified Khater method. Renowned as one of the latest and most precise analytical schemes for nonlinear evolution equations, this method has proven i
Externí odkaz:
https://doaj.org/article/e3dd6b5b0dda4011892fa5f3dc64bca1
Publikováno v:
Partial Differential Equations in Applied Mathematics, Vol 12, Iss , Pp 100932- (2024)
In engineering and applied sciences, several physical phenomena can be more precisely characterized by employing nonlinear fractional partial differential equations. The primary goal of this research is to examine the traveling wave solution in close
Externí odkaz:
https://doaj.org/article/835e3683e9a04ac78aa17e6bb0d684a6
Publikováno v:
Partial Differential Equations in Applied Mathematics, Vol 12, Iss , Pp 100923- (2024)
We propose a Lie group method to discuss the modified KP equation appearing in Thomas–Fermi (TM) plasma, characterised by cold and hot electrons. The Lie method facilitates the identification of similarity reductions, infinitesimal symmetries, grou
Externí odkaz:
https://doaj.org/article/1579836f69e34327addf90164f73e9e9
Publikováno v:
AIMS Mathematics, Vol 9, Iss 8, Pp 22590-22601 (2024)
In this article, the dynamic behavior and solitary wave solutions of the Akbota equation were studied based on the analysis method of planar dynamic system. This method can not only analyze the dynamic behavior of a given equation, but also construct
Externí odkaz:
https://doaj.org/article/ae541836b042432f966d8b04e22ddfa1
Autor:
Zhuangcai Tian, Jinjian Huang, Jiaming Xiang, Shaotong Zhang, Jinran Wu, Xiaolei Liu, Tingting Luo, Jianhua Yue
Publikováno v:
Deep Underground Science and Engineering, Vol 3, Iss 2, Pp 149-162 (2024)
Abstract Internal solitary wave (ISW), as a typical marine dynamic process in the deep sea, widely exists in oceans and marginal seas worldwide. The interaction between ISW and the seafloor mainly occurs in the bottom boundary layer. For the seabed b
Externí odkaz:
https://doaj.org/article/711bbac4b31346949ab6efffb1ef5530