Results 11 to 20 of about 549 (46)

Inverse problem for an inhomogeneous Schr\"odinger equation [PDF]

open access: yes, 1999
An inverse problem is considered for an inhomogeneous Schr\"odinger equation. Assuming that the potential vanishes outside a finite interval and satisfies some other technical assumptions, one proves the uniqueness of the recovery of this potential from ...
A. G. Ramm, Schrödinger Equation
core   +5 more sources

Optimal system, nonlinear self-adjointness and conservation laws for generalized shallow water wave equation

open access: yesOpen Physics, 2018
In this article, the generalized shallow water wave (GSWW) equation is studied from the perspective of one dimensional optimal systems and their conservation laws (Cls).
Baleanu Dumitru   +3 more
doaj   +1 more source

On the libration collinear points in the restricted three – body problem

open access: yesOpen Physics, 2017
In the restricted problem of three bodies when the primaries are triaxial rigid bodies, the necessary and sufficient conditions to find the locations of the three libration collinear points are stated.
Alzahrani F.   +3 more
doaj   +1 more source

Oscillation criteria for nonlinear fractional differential equation with damping term

open access: yesOpen Physics, 2016
In this paper, we study the oscillation of solutions to a non-linear fractional differential equation with damping term. The fractional derivative is defined in the sense of the modified Riemann-Liouville derivative. By using a variable transformation, a
Bayram Mustafa   +2 more
doaj   +1 more source

New Complex Solutions to the Nonlinear Electrical Transmission Line Model

open access: yesOpen Physics, 2019
In this paper, with the help of an analytical approach, new complex singular and travelling dark solutionsto the nonlinear electrical transmission line are successfully constructed. 2D and 3Dfigures along with contour figures are plotted. Finally, at the
Gulluoglu Mehmet Tahir
doaj   +1 more source

Solitary Wave Solution of Nonlinear PDEs Arising in Mathematical Physics

open access: yesOpen Physics, 2019
The solution of nonlinear mathematical models has much importance and in soliton theory its worth has increased. In the present article, we have investigated the Caudrey-Dodd-Gibbon and Pochhammer-Chree equations, to discuss the physics of these ...
Rani Attia   +6 more
doaj   +1 more source

A comparison study of steady-state vibrations with single fractional-order and distributed-order derivatives

open access: yesOpen Physics, 2017
We conduct a detailed study and comparison for the one-degree-of-freedom steady-state vibrations under harmonic driving with a single fractional-order derivative and a distributed-order derivative.
Duan Jun-Sheng   +2 more
doaj   +1 more source

Normalization Integrals of Orthogonal Heun Functions

open access: yes, 1997
A formula for evaluating the quadratic normalization integrals of orthogonal Heun functions over the real interval 0
Becker, Peter A.
core   +2 more sources

Vibration Equation of Fractional Order Describing Viscoelasticity and Viscous Inertia

open access: yesOpen Physics, 2019
The steady state response of a fractional order vibration system subject to harmonic excitation was studied by using the fractional derivative operator −∞Dtβ,${}_{-\infty} D_t^\beta,$where the order β is a real number satisfying 0 ≤ β ≤ 2.
Duan Jun-Sheng, Xu Yun-Yun
doaj   +1 more source

Integrals of motion and the shape of the attractor for the Lorenz model

open access: yes, 1997
In this paper, we consider three-dimensional dynamical systems, as for example the Lorenz model. For these systems, we introduce a method for obtaining families of two-dimensional surfaces such that trajectories cross each surface of the family in the ...
Doering   +10 more
core   +1 more source

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