Results 71 to 80 of about 64,375 (247)

Exact S‐wave solution of the trigonometric pöschl‐teller potential [PDF]

International Journal of Quantum Chemistry, 2011
AbstractThe trigonometric Pöschl‐Teller (PT) potential describes the diatomic molecular vibration. By using the Nikiforov‐Uvarov method, we have obtained the exact analytical s‐wave solutions of the radial Schrödinger equation (SE) for the trigonometric PT potential. The energy eigenvalues and corresponding eigenfunctions are calculated in closed forms.
Hamzavi, M., Rajabi, A. A.
openaire   +2 more sources

The Benjamin–Ono Equation in the Zero‐Dispersion Limit for Rational Initial Data: Generation of Dispersive Shock Waves

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone, Louise Gassot, Patrick Gérard, Peter D. Miller   +3 more
wiley   +1 more source

Dynamic analysis and derivation of new optical soliton solutions for the modified complex Ginzburg-Landau model in communication systems

Alexandria Engineering Journal
This study mainly focuses on finding new forms of optical soliton solutions of a modified complex Ginzburg-Landau equation. A versatile integration approach, the extended sinh-Gordon expansion technique is utilized.
Nauman Raza, A. Jaradat, Ghada Ali Basendwah, Amna Batool, M.M.M. Jaradat   +4 more
doaj   +1 more source

Classification of All Single Traveling Wave Solutions of Fractional Coupled Boussinesq Equations via the Complete Discrimination System Method

Advances in Mathematical Physics, 2021
In this paper, the complete discrimination system method is used to construct the exact traveling wave solutions for fractional coupled Boussinesq equations in the sense of conformable fractional derivatives.
Tianyong Han, Zhao Li
doaj   +1 more source

Analytical stress solution framework for lined compressed air energy storage chambers and its application to safe burial depth determination and supporting effectiveness evaluation

Deep Underground Science and Engineering, EarlyView.
An analytical framework delivers a closed‐form stress solution for lined compressed air energy storage chambers, enabling the determination of the minimum safe burial depth. The solution quantitatively evaluates lining support effectiveness, offering a reliable tool for chamber design and optimization.
Zeyuan Sun, Cheng Zhao, Jinquan Xing, Qinyuan Luo   +3 more
wiley   +1 more source

A New Variable-Coefficient Riccati Subequation Method for Solving Nonlinear Lattice Equations

Abstract and Applied Analysis, 2013
We propose a new variable-coefficient Riccati subequation method to establish new exact solutions for nonlinear differential-difference equations. For illustrating the validity of this method, we apply it to the discrete (2 + 1)-dimensional Toda lattice ...
Fanwei Meng
doaj   +1 more source

Dynamic response at the terminus of oblique intersecting joints subjected to stress waves

Deep Underground Science and Engineering, EarlyView.
This study derives the propagation equation for stress waves impinging upon nonlinear oblique intersecting joints. It analyzes the dynamic response at the terminus of nonlinear oblique intersecting joints subjected to stress waves. Abstract To investigate the dynamic response at the terminus of oblique intersecting joints subjected to stress waves, a ...
Gang Hu, Xiang Chen, Honglu Fei, Shijie Bao, Jian Guo   +4 more
wiley   +1 more source

Dynamical wave structures for time-fractional (3+1)-dimensional p-type model via two improved techniques

Partial Differential Equations in Applied Mathematics
In this work, we investigates the conformable time-fractional (3+1)-dimensional p-type model for the analytical solutions. The underlying model is explained the material characteristics and spontaneous processes in solid-state physics, such as magnetism ...
Makhdoom Ali, Muhammad Bilal Riaz, Nauman Ahmed, Muhammad Zafarullah Baber, Ali Akgül   +4 more
doaj   +1 more source

Characteristics of Deformation and Damage of Multi‐Thin Composite Oil Shale Top Plate Under the Influence of Different Factors

Energy Science &Engineering, EarlyView.
In this study, the key control mechanism of surrounding rock stability is revealed by theoretical analysis and UDEC‐Trigon numerical simulation method, aiming at the problem that oil shale roof is prone to separation and slip deformation under complex stress.
Jiang Xiao, Yujiang Liu, Yihui Wang, Boyuan Zhang, Yulin Wang, Tongxiaoyu Wang   +5 more
wiley   +1 more source

The Improved Generalized tanh-coth Method Applied to Sixth-Order Solitary Wave Equation

Journal of Mathematics, 2017
The improved generalized tanh-coth method is used in nonlinear sixth-order solitary wave equation. This method is a powerful and advantageous mathematical tool for establishing abundant new traveling wave solutions of nonlinear partial differential ...
M. Torvattanabun, J. Simmapim, D. Saennuad, T. Somaumchan   +3 more
doaj   +1 more source