Advanced Mathematical Physics Problems

Özet henüz yok.

• HACI MEHMET BAŞKONUŞ

In this note, we consider a vertical cable which is pinched at the upper end. A mass is attached at the lower end where a control force is also applied. We show that this hybrid system is uniformly stabilized by choosing a suitable control law for the control force depending on the velocity and angular velocity at the…

Özet henüz yok.

• MASAHİRO YAMAMOTO

A linearized implicit finite difference method to obtain numerical solution of the one‐dimensional regularized long‐wave (RLW) equation is presented. The performance and the accuracy of the method are illustrated by solving three test examples of the problem: a single solitary wave, two positive solitary waves interac…

• ALAATTİN ESEN

Özet henüz yok.

• GÜLÇİN MİHRİYE MUSLU

We consider a system described by the one-dimensional linear wave equation in a bounded domain with appropriate boundary conditions. To stabilize the system, we propose a dynamic boundary controller applied at the free end of the system. The transfer function of the proposed controller is a proper rational function of…

Abstract In this manuscript, the application of the extended sinh-Gordon equation expansion method to the Davey-Stewartson equation and the (2+1)-dimensional nonlinear complex coupled Maccari system is presented. The Davey-Stewartson equation arises as a result of multiple-scale analysis of modulated nonlinear surface…

In the paper we find conditions on the pair $(\omega _1,\omega _2)$ which ensure the boundedness of the maximal operator and the Calderón-Zygmund singular integral operators from one generalized Morrey space $\mathcal {M}_{p,\omega _1}$ to another $\mathcal {M}_{p,\omega _2}$, $1<p<\infty $, and from the space $\mathc…

Özet henüz yok.

• MEHMET ŞENOL

Abstract In this paper, we use the modified auxiliary expansion method to seek some new solutions of the paraxial nonlinear Schrödinger equation. The solutions have a hyperbolic function, trigonometric function, exponential function, and rational function forms The linear stability analysis of paraxial NLSE is also pr…

• HACI MEHMET BAŞKONUŞ

Özet henüz yok.

• HACI MEHMET BAŞKONUŞ

We establish local well-posedness in the Sobolev space H s with any for the generalized Camassa–Holm equation. Furthermore, we consider the stability and instability problem of the solitary wave solutions.