Breather Dynamics of the Sine-Gordon Equation

被引：0

作者：

Stephen Johnson ^{[1
]}

Anjan Biswas ^{[1
,2
]}

机构：

[1] Stephen Johnson and Anjan Biswas Department of Mathematical Sciences, Delaware State University

[2] Department of Mathematics, Faculty of Science, King Abdulaziz University

来源：

Communications in Theoretical Physics | 2013年 / 59卷 / 06期

关键词：

solitons; phonons; conservation laws; perturbations; numerics;

D O I：

暂无

中图分类号：

O175.7 [差分微分方程]; O437 [非线性光学（强光与物质的作用）];

学科分类号：

摘要：

This paper studies the adiabatic dynamics of the breather soliton of the sine-Gordon equation. The integrals of motion are found and then used in soliton perturbation theory to derive the differential equation governing the soliton velocity. Time-dependent functions arise and their properties are studied. These functions are found to be bounded and periodic and affect the soliton velocity. The soliton velocity is numerically plotted against time for different combinations of initial velocities and perturbation terms.

引用

页码：664 / 670

页数：7

共 50 条

[31] Breather stripes and radial breathers of the two-dimensional sine-Gordon equation
Kevrekidis, P. G.
Carretero-Gonzalez, R.
Cuevas-Maraver, J.
Frantzeskakis, D. J.
Caputo, J-G
Malomed, B. A.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2021, 94
[32] Higher-order smooth positons and breather positons of Sine-Gordon equation
Jiang, Lin
Li, Biao
COMMUNICATIONS IN THEORETICAL PHYSICS, 2022, 74 (08)
[33] DEFORMING SOME SPECIAL SOLUTIONS OF THE SINE-GORDON EQUATION TO THAT OF THE DOUBLE SINE-GORDON EQUATION
LOU, SY
NI, GJ
PHYSICS LETTERS A, 1989, 140 (1-2) : 33 - 35
[34] Breather Transitions and Their Mechanisms of a (2+1)-Dimensional Sine-Gordon Equation and a Modified Boussinesq Equation in Nonlinear Dynamics
Gao, Qian
Tian, Shou-Fu
Liu, Ji-Chuan
Wu, Yan-Qiang
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2024, 23 (04)
[35] On kink-dynamics of the perturbed sine-Gordon equation
Maksimov, AG
Pedersen, NF
Christiansen, PL
Molkov, JI
Nekorkin, VI
WAVE MOTION, 1996, 23 (02) : 203 - 213
[36] Global Dynamics near the Resonance in the Sine-Gordon Equation
Huang Debin Liu Zengrong (Shanghai University) Cheng Zhongshi (Shanghai Administrative College for Trade Union Cadres)
Journal of Shanghai University, 1998, (04) : 1 - 3
[37] The sine-gordon equation perturbed in the nonlinear dynamics of DNA
Salas, A. H.
Castillo, J. E.
REVISTA MEXICANA DE FISICA, 2012, 58 (06) : 481 - 487
[38] Generalized Sine-Gordon equation and dislocation dynamics of superlattice
Wu, Muying
Chen, Guihua
Luo, Shiyu
SUPERLATTICES AND MICROSTRUCTURES, 2013, 59 : 163 - 168
[39] Control for the sine-Gordon equation
Petcu, M
Temam, R
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2004, 10 (04): : 553 - 573
[40] An ultradiscretization of the sine-Gordon equation
Isojima, S
Murata, M
Nobe, A
Satsuma, J
PHYSICS LETTERS A, 2004, 331 (06) : 378 - 386

← 1 2 3 4 5 →