Zobrazeno 1 - 10
of 901
pro vyhledávání: '"travelling-wave solutions"'
Publikováno v:
Partial Differential Equations in Applied Mathematics, Vol 11, Iss , Pp 100815- (2024)
In this study, we investigate the travelling wave solutions of the (2+1)-dimensional new generalized Korteweg–de Vries equation by employing Lie group analysis along with various techniques which include direct integration, simplest equation method
Externí odkaz:
https://doaj.org/article/dba9e553e0874db98c281386c0920a10
Autor:
Ayesha Mahmood, Muhammad Abbas, Tahir Nazir, Farah Aini Abdullah, Ahmed SM. Alzaidi, Homan Emadifar
Publikováno v:
Ain Shams Engineering Journal, Vol 15, Iss 7, Pp 102757- (2024)
One of the fastest growing fields of study in nonlinear optics is optical solitons. This article investigates the optical soliton solutions of the coupled Kaup-Newell equation in birefringent fibers without four wave mixing. This model helps explain
Externí odkaz:
https://doaj.org/article/c00a0ff1716b481c8e3af93c028c822c
Autor:
Fanni Kádár, Gábor Stépán
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2023, Iss 28, Pp 1-8 (2023)
Direct spring operated pressure relief valves connected to a constantly charged vessel and a downstream pipe have a complex dynamics. The vessel-valve subsystem is described with an autonomous system of ordinary differential equations, while the pres
Externí odkaz:
https://doaj.org/article/01a9837a18e845f59f970626e131fe63
Autor:
Mosito Lekhooana, Motlatsi Molati
Publikováno v:
Results in Physics, Vol 59, Iss , Pp 107614- (2024)
In this work, we investigate a partial differential equation (PDE) derived from a Boussinesq system of two equations that describe the wave motion in shallow water when the wavelength is small compared to wave amplitude. The Lie point symmetries of t
Externí odkaz:
https://doaj.org/article/830bff7fedfa4493aa4e570c384d6f4e
Publikováno v:
Universal Journal of Mathematics and Applications, Vol 6, Iss 2, Pp 65-75 (2023)
The Schamel-Korteweg-de Vries (S-KdV) equation including a square root nonlinearity is very important pattern for the research of ion-acoustic waves in plasma and dusty plasma. As known, it is significant to discover the traveling wave solutions of s
Externí odkaz:
https://doaj.org/article/0e257928e40a4a3abbcc98d0f8e77b93
Autor:
Yanzhi Ma, Zenggui Wang
Publikováno v:
Journal of Taibah University for Science, Vol 17, Iss 1 (2023)
In this paper, exp[Formula: see text]-expansion method, modified extended tanh-function method and Kudryashov method are used to investigate the exact solutions of the coupled Benjamin–Bona–Mahony–KdV (BBM-KdV) system. By the travelling wave tr
Externí odkaz:
https://doaj.org/article/fe0d5642dba04012bb2491d9ac9c1e1e
Autor:
Mahmoud Gaballah, Rehab M. El-Shiekh
Publikováno v:
Journal of Taibah University for Science, Vol 17, Iss 1 (2023)
In this study, the two-dimensional Bogoyavlensky–Konopelchenko equation with variable coefficients (vcBK) which describes the interaction of Riemann waves has been solved two times by using the balance technique. First, the balance procedure was us
Externí odkaz:
https://doaj.org/article/ff0952e00ae0463a82f4c0c9fd92c7f2
Autor:
Baskonus Haci Mehmet, Kayan Mustafa
Publikováno v:
Applied Mathematics and Nonlinear Sciences, Vol 8, Iss 1, Pp 81-100 (2023)
This paper applies a powerful scheme, namely Bernoulli sub-equation function method, to some partial differential equations with high non-linearity. Many new travelling wave solutions, such as mixed dark-bright soliton, exponential and complex domain
Externí odkaz:
https://doaj.org/article/241f1786a1194c75a4e972e2d64f5165
Akademický článek
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Autor:
Esin Aksoy, Adem Çevikel
Publikováno v:
Journal of Mathematical Sciences and Modelling, Vol 5, Iss 2, Pp 57-62 (2022)
In this article, two methods are proposed to solve the fractional Cahn-Hilliard equation. This model describes the process of phase separation with nonlocal memory effects. Cahn-Hilliard equations have numerous applications in real-world scenarios, e
Externí odkaz:
https://doaj.org/article/248627fbde5549b088bcb9b37ff4169c