Results 11 to 20 of about 303,480 (313)

New exact solutions for generalized Gardner equation

Kuwait Journal of Science, 2017
In this research, we seek exact solutions of generalized Gardner equation. We make use of extended trial equationmethod to attain exact solutions of generalized Gardner equation. Firstly, we find some exact solutions such as soliton solutions, rational,
Seyma T. Demiray, Hasan Bulut
doaj   +2 more sources

Finding exact solutions for selected nonlinear evolution differential equations [PDF]

, 2023
Burgers, Breaking Soliton and Boussinesq equations are applicable in different areas of physics. Searching their real solutions are particularly important.
Mohammed, Mayada G.., Strunin, Dmitry V., Bhanot, Rajeev P.   +2 more
core   +1 more source

Bifurcations and the Exact Solutions of the Time-Space Fractional Complex Ginzburg-Landau Equation with Parabolic Law Nonlinearity

Fractal and Fractional, 2023
This paper studies the bifurcations of the exact solutions for the time–space fractional complex Ginzburg–Landau equation with parabolic law nonlinearity.
Wenjing Zhu, Zijie Ling, Yonghui Xia, Min Gao   +3 more
doaj   +1 more source

Cosmological Solutions of Integrable F(R) Gravity Models with an Additional Scalar Field

Physical Sciences Forum, 2023
We consider F(R) cosmological models with a scalar field. For the R2 model in the spatially flat Friedmann–Lemaître–Robertson–Walker metric, the Ricci scalar R can smoothly change its sign during the evolution if and only if the scalar field is a phantom
Sergey Vernov, Vsevolod Ivanov
doaj   +1 more source

EXACT INFLATIONARY SOLUTIONS [PDF]

International Journal of Modern Physics D, 1998
We present a new class of exact inflationary solutions for the evolution of a universe with spatial curvature, filled with a perfect fluid, a scalar field with potential V±(ϕ) = λ(ϕ2 ± δ2)2 and a cosmological constant Λ. With the V+(ϕ) potential and a negative cosmological constant, the scale factor experiments a graceful exit.
Piccinelli, Gabriella, Matos, Tonatiuh, Montesinos-Velásquez, Merced   +2 more
openaire   +3 more sources

New traveling wave exact solutions to the coupled Klein–Gordon system of equations

Partial Differential Equations in Applied Mathematics, 2022
A system of coupled Klein–Gordon nonlinear partial differential equations are considered in this paper and several new families of exact solutions for this system are derived.
Subin P. Joseph
doaj   +1 more source

Exact solutions in Chiral cosmology [PDF]

General Relativity and Gravitation, 2019
10 pages, no figures, title changed, version accepted for publication by Gen.
Andronikos Paliathanasis, Genly Leon, Supriya Pan   +2 more
openaire   +3 more sources

Comments on the exact solutions of Mathieu's equation by D. J. Daniel (2020) [PDF]

, 2023
So-called exact solutions of Mathieu’s equation proposed by D. J. Daniel [Prog. Theor. Exp. Phys. 2020, 043A01 (2020)] are flawed and not computable.
Shin, H.
core   +1 more source

Further results about the non-traveling wave exact solutions of nonlinear Burgers equation with variable coefficients

Results in Physics, 2023
Nonlinear Burgers equation with variable coefficients (BEVC) which involves mathematical physics in plasma and fluid dynamics and so on. Investigating the exact solutions of BEVC to show the different dynamics of wave phenomena becomes a hot topic both ...
Jianming Qi, Qinghao Zhu
doaj   +1 more source

Exact Solutions of Some Fractional Power Series

, 2023
: In this paper, we obtain the exact solutions of two fractional power series. A new multiplication of fractional power series and Jumarie type of Riemann-Liouville (R-L) fractional calculus play important roles in this article.
Chii-Huei Yu
core   +1 more source