Zobrazeno 1 - 10
of 1 064
pro vyhledávání: '"Law Nonlinearity"'
Autor:
Aly R. Seadawy, Bayan Alsaedi
Publikováno v:
AIMS Mathematics, Vol 9, Iss 3, Pp 6336-6367 (2024)
Our study analyzes the two models of the nonlinear Schrödinger equation (NLSE) with polynomial law nonlinearity by powerful and comprehensible techniques, such as the variational principle method and the amplitude ansatz method. We will derive the f
Externí odkaz:
https://doaj.org/article/0dec5bb60eb34eb291784f5e9ed4a8e4
Publikováno v:
Results in Physics, Vol 60, Iss , Pp 107636- (2024)
The study of optical soliton solutions plays a vital role in nonlinear optics. The foremost area of optical solitons research encompasses around optical fiber, telecommunication, meta-surfaces and others related technologies. The aim of this work is
Externí odkaz:
https://doaj.org/article/c4f5c03900b546a9bd635ef899febf30
Autor:
Emmanuel Yomba, Poonam Ramchandra Nair
Publikováno v:
Mathematics, Vol 12, Iss 19, p 3073 (2024)
In this study, we use an analytical method tailored for the in-depth exploration of coupled nonlinear partial differential equations (NLPDEs), with a primary focus on the dynamics of solitons. Traditional methods are quite effective for solving indiv
Externí odkaz:
https://doaj.org/article/f4f6a48eed0e46fc8dda30cb90635618
Publikováno v:
Mathematics, Vol 12, Iss 10, p 1585 (2024)
This study extensively explores the Biswas–Milovic equation (BME) with Kerr and power law nonlinearity to extract the unique characteristics of optical soliton solutions. These optical soliton solutions have different applications in the field of p
Externí odkaz:
https://doaj.org/article/398093dab5ee46cea71cd6a9e534f096
Autor:
Henri Schurz
Publikováno v:
Results in Applied Mathematics, Vol 20, Iss , Pp 100411- (2023)
A qualitative study of nonlinear, 1D stochastic fractional wave equations with dissipative nonlinearities of power-law form is conducted on (t,x)∈[0,+∞)×D utt+σ2(−uxx)α−a1u+a2‖u‖L2(D)ρu−κut=b0∂W0∂t on (t,x)∈[0,+∞)×D with D
Externí odkaz:
https://doaj.org/article/5bf0ac34ae6d456eb5bf0e0119de6c29
Publikováno v:
Results in Physics, Vol 54, Iss , Pp 107160- (2023)
New exact solutions for the perturbation higher order nonlinear Schrödinger equation (NLSE) with dual-power law nonlinearity are investigated using the ϕ6 expansion method. This type of NLSE models the propagation of femtosecond pulses in fiber opt
Externí odkaz:
https://doaj.org/article/e9a034ea15794b3a8ae12617f1fe9930
Publikováno v:
Results in Physics, Vol 54, Iss , Pp 107046- (2023)
This study focuses on investigating the optical soliton solutions for the perturbed nonlinear Schrödinger equation involving Kerr nonlinearity. It should be noted that the non-integrable nature of the nonlinear Schrödinger equation becomes apparent
Externí odkaz:
https://doaj.org/article/376c864711354b6499a1f8e9e9b5468c
Publikováno v:
Journal of Ocean Engineering and Science, Vol 8, Iss 2, Pp 152-168 (2023)
This paper presents analytical studies carried out explicitly on a higher-dimensional generalized Zakharov–Kuznetsov equation with dual power-law nonlinearity arising in engineering and nonlinear science. We obtain analytic solutions for the underl
Externí odkaz:
https://doaj.org/article/9acd38030ec34243a18753e3b067e5fa
Autor:
Yazid Alhojilan, Hamdy M. Ahmed
Publikováno v:
Results in Physics, Vol 53, Iss , Pp 106952- (2023)
The stochastic complex Ginzburg–Landau model with parabolic law nonlinearity and chromatic dispersion is investigated in this research study. In many fields of science, including fluid dynamics and optical fibers, this model is utilized to represen
Externí odkaz:
https://doaj.org/article/1d80cb85182f4e59a6729f0531fd217e
Publikováno v:
AppliedMath, Vol 3, Iss 1, Pp 1-9 (2022)
The main idea of this paper is to study the chaotic behavior of Zakharov–Kuznetsov equation with perturbation. By taking the traveling wave transformation, we transform the perturbed Zakharov–Kuznetsov equation with dual-power law and triple-powe
Externí odkaz:
https://doaj.org/article/dea897df517d45ea9bd063c0a5e2162a