Results 51 to 60 of about 9,425 (297)

Analytical Solution of Two-Dimensional Sine-Gordon Equation

open access: yesAdvances in Mathematical Physics, 2021
In this paper, the reduced differential transform method (RDTM) is successfully implemented for solving two-dimensional nonlinear sine-Gordon equations subject to appropriate initial conditions.
Alemayehu Tamirie Deresse   +2 more
doaj   +1 more source

The Stability Of Crank – Nicholson and Explicit Methods for Numerical Solution for Sine – Gordon Equation

open access: yesTikrit Journal of Pure Science, 2023
In This Paper, We Solve The Sine – Gordon Equation by two Numerical Methods : Crank – Nicholson and Explicit and we discuss The Stabilities , and we obtained That The Stability Crank – Nicholson Methods is More Than The Stability Of Explicit Methods.
Ramyi N. Ali, Awni M. Gaftan
doaj   +1 more source

On the integrability of the sine-Gordon system [PDF]

open access: yes, 1997
This thesis investigates the integrability of the sine-Gordon system of nonlinear partial differential equations when the dependent variables are subject to some very particular boundary conditions.
MacIntyre, A., MacIntyre, Alistair
core  

A family of interesting exact solutions of the sine-Gordon equation

open access: yes, 2000
By using AKNS [Phys. Rev. Lett. 31 (1973) 125] system and introducing the wave function, a family of interesting exact solutions of the sine-Gordon equation are constructed.
王立联   +3 more
core   +1 more source

Revisiting Stability Criteria in Ball‐Milled High‐Entropy Alloys: Do Hume–Rothery and Thermodynamic Rules Equally Apply?

open access: yesAdvanced Engineering Materials, Volume 27, Issue 6, March 2025.
The stability criteria affecting the formation of high‐entropy alloys, particularly focusing in supersaturated solid solutions produced by mechanical alloying, are analyzed. Criteria based on Hume–Rothery rules are distinguished from those derived from thermodynamic relations. The formers are generally applicable to mechanically alloyed samples.
Javier S. Blázquez   +5 more
wiley   +1 more source

Numerical solution of nonlinear sine–Gordon equation by using the modified cubic B-spline differential quadrature method

open access: yesBeni-Suef University Journal of Basic and Applied Sciences, 2018
This paper deals with numerical solution of one dimensional nonlinear sine–Gordon. “Modified cubic B-spline differential quadrature method” is used to solve one dimensional nonlinear sine–Gordon.
H.S. Shukla, Mohammad Tamsir
doaj   +1 more source

Duality family of scalar field

open access: yesNuclear Physics B, 2021
We show that there exists a duality family of self-interacting massive scalar fields. The scalar fields in a duality family are related by a duality transformation.
Wen-Du Li, Wu-Sheng Dai
doaj   +1 more source

Complex sine-Gordon theory: solitons, defects and boundaries [PDF]

open access: yes, 2008
This thesis presents research into the properties and features of the complex sine- Gordon theory. The CSG theory is a dimensional integrable held theory that admits soliton solutions which carry a Noether charge due to the U(I) invariance of the theory.
Umpleby, James
core  

Recycling of NiTi Shape Memory Alloys: Fundamental and Technological Aspects of a Vacuum Induction Melting Processing Route

open access: yesAdvanced Engineering Materials, EarlyView.
The present study investigates recycling of NiTi shape memory alloys via vacuum induction melting. An ingot was synthesized from elemental Ni and Ti and subjected to three subsequent remelting cycles. Remelting increases process durations and impurity levels and adversely affects microstructures and functional properties.
Sakia Sophia Noorzayee   +7 more
wiley   +1 more source

Exact solutions of some nonlinear evolution equations via the first integral method

open access: yesAin Shams Engineering Journal, 2013
The first integral method can be used to construct exact traveling wave solutions of nonlinear partial differential equations. In this work, we explore new application of this method to some special nonlinear partial differential equations.
N. Taghizadeh   +2 more
doaj   +1 more source

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