SMALL-AMPLITUDE SOLUTIONS OF THE SINE-GORDON EQUATION ON AN INTERVAL UNDER DIRICHLET OR NEUMANN BOUNDARY-CONDITIONS

被引：1

作者：

BOBENKO, AI ^{[1
]}

KUKSIN, SB ^{[1
]}

机构：

[1] ETH ZENTRUM,FIM,CH-8092 ZURICH,SWITZERLAND

来源：

JOURNAL OF NONLINEAR SCIENCE | 1995年 / 5卷 / 03期

关键词：

SINE-GORDON EQUATION; DIRICHLET BOUNDARY CONDITIONS; NEUMANN BOUNDARY CONDITIONS; SCHOTTKY UNIFORMIZATION;

D O I：

10.1007/BF01212955

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give a complete classification of the small-amplitude finite-gap solutions of the sine-Gordon (SG) equation on an interval under Dirichlet or Neumann boundary conditions. Our classification is based on an analysis of the finite-gap solutions of the boundary problems for the SG equation by means of the Schottky uniformization approach.

引用

页码：207 / 232

页数：26

共 50 条

[21] Soliton solutions of the nonlinear sine-Gordon model with Neumann boundary conditions arising in crystal dislocation theory
O. Nikan
Z. Avazzadeh
M. N. Rasoulizadeh
Nonlinear Dynamics, 2021, 106 : 783 - 813
[22] Soliton solutions of the nonlinear sine-Gordon model with Neumann boundary conditions arising in crystal dislocation theory
Nikan, O.
Avazzadeh, Z.
Rasoulizadeh, M. N.
NONLINEAR DYNAMICS, 2021, 106 (01) : 783 - 813
[23] Excited states NLIE for sine-Gordon model in a strip with Dirichlet boundary conditions
Ahn, C
Bellacosa, M
Ravanini, F
PHYSICS LETTERS B, 2004, 595 : 537 - 546
[24] Damped sine-Gordon equations with non-homogeneous dirichlet boundary conditions
Ha, J
Nakagiri, S
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 263 (02) : 708 - 720
[25] Semiclassical energy levels of sine-Gordon model on a strip with Dirichlet boundary conditions
Mussardo, G
Riva, V
Sotkov, G
NUCLEAR PHYSICS B, 2005, 705 (03) : 548 - 562
[26] Interior transition layers of solutions to the perturbed elliptic Sine-Gordon equation on an interval
Shibata, T
JOURNAL D ANALYSE MATHEMATIQUE, 2001, 83 (1): : 109 - 120
[27] Interior transition layers of solutions to the perturbed elliptic Sine-Gordon equation on an interval
Tetsutaro Shibata
Journal d’Analyse Mathématique, 2001, 83 : 109 - 120
[28] Dynamics of Sine-Gordon system without capacitance effect under Neumann boundary condition
Liu, Y.D.
He, W.L.
Beifang Jiaotong Daxue Xuebao/Journal of Northern Jiaotong University, 2001, 25 (03):
[29] Efficiency energy-preserving cosine pseudo-spectral algorithms for the sine-Gordon equation with Neumann boundary conditions
Yue, Xiaopeng
Fu, Yayun
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2022, 99 (12) : 2367 - 2381
[30] SMALL-AMPLITUDE SOLITARY WAVES ON A LATTICE SUBJECT TO NONVANISHING BOUNDARY-CONDITIONS
CHUBYKALO, OA
KONOTOP, VV
VAZQUEZ, L
PHYSICAL REVIEW B, 1993, 47 (13): : 7971 - 7978

← 1 2 3 4 5 →