Results 41 to 50 of about 39,926 (178)

Noncoaxial multivortices in the complex sine-Gordon theory on the plane

, 2002
We construct explicit multivortex solutions for the complex sine-Gordon equation (the Lund-Regge model) in two Euclidean dimensions. Unlike the previously found (coaxial) multivortices, the new solutions comprise $n$ single vortices placed at arbitrary ...
Ao P, Bakas I, Bar'yakhtar V G, Barashenkov I V, Bethuel F, Fukumoto Y, Getmanov B S, Getmanov B S, Getmanov B S, Getmanov B S, Ginzburg V I, Ginzburg V I, Hagan P S, I V Barashenkov, Ivanov B A, Ivanov B A, Josserand C, Konno K, Kosevich A M, Kosevich A M, Kulish P P, Kulish P P, Lebedev N N, Lund F, Neveu A, Ovchinnikov Yu N, Ovchinnikov Yu N, Ovchinnikov Yu N, Pitaevskii L P, Pitaevskii L P, Pohlmeyer K, R M Adams, Rajaraman R, Samols T, Stuart D, V S Shchesnovich, Zakrzewski W J   +36 more
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Analytical Solution of Two-Dimensional Sine-Gordon Equation

Advances 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, Yesuf Obsie Mussa, Ademe Kebede Gizaw   +2 more
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The Stability Of Crank – Nicholson and Explicit Methods for Numerical Solution for Sine – Gordon Equation

Tikrit 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

Normal form for travelling kinks in discrete Klein-Gordon lattices

, 2005
We study travelling kinks in the spatial discretizations of the nonlinear Klein--Gordon equation, which include the discrete $\phi^4$ lattice and the discrete sine--Gordon lattice.
Aigner, Barashenkov, Bender, Braun, Champneys, Dmitriev, Dmitry E. Pelinovsky, Eilbeck, Feckan, Flach, Gerard Iooss, Iooss, Iooss, Iooss, Iooss, Iooss, Kevrekidis, Lamb, Lombardi, Oxtoby, Pelinovsky, Savin, Speight, Speight, Speight, Tovbis, Tovbis, Vanderbauwhede   +27 more
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Numerical solution of nonlinear sine–Gordon equation by using the modified cubic B-spline differential quadrature method

Beni-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

Nuclear 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
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Multivortex Solutions of the Weierstrass Representation

, 2001
The connection between the complex Sine and Sinh-Gordon equations on the complex plane associated with a Weierstrass type system and the possibility of construction of several classes of multivortex solutions is discussed in detail.
A. M. Grundland, A. P. Vorobev, B. Konopelchenko, F. Lund, G. Darboux, H. Davis, I. Barashenkov, J. Tafel, K. Kajiwara, K. Okamoto, K. Pohlmeyer, P. Bracken, R. Conte, V. Gromak   +13 more
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Exact solutions of some nonlinear evolution equations via the first integral method

Ain 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, M. Mirzazadeh, A. Samiei Paghaleh   +2 more
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Identifiability for Linearized Sine-Gordon Equation [PDF]

Mathematical Modelling of Natural Phenomena, 2013
The paper presents theoretical and numerical results on the identifiability, i.e. the unique identification for the one-dimensional sine-Gordon equation. The identifiability for nonlinear sine-Gordon equation remains an open question. In this paper we establish the identifiability for a linearized sine-Gordon problem.
J. Ha, S. Gutman
openaire   +1 more source

Elliptic function solutions and travelling wave solutions of nonlinear Dodd-Bullough-Mikhailov, two-dimensional Sine-Gordon and coupled Schrödinger-KdV dynamical models

Results in Physics, 2018
In this article, we construct the traveling wave and elliptic function solutions of some special nonlinear evolution equations which are arising in mathematical physics, solid-state physics, fluid flow, fluid dynamics, nonlinear optics, electromagnetic ...
Dianchen Lu, Aly R. Seadawy, Muhammad Arshad   +2 more
doaj   +1 more source