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

[31] Dynamics of Sine-Gordon system without capacitance effect under Dirichlet boundary condition
Liu, Y.D.
He, W.L.
Beifang Jiaotong Daxue Xuebao/Journal of Northern Jiaotong University, 2001, 25 (01):
[32] ALGEBROGEOMETRIC SOLUTIONS OF THE NONLINEAR BOUNDARY-PROBLEM ON A SEGMENT FOR THE SINE-GORDON EQUATION
BIKBAEV, RF
ITS, AR
MATHEMATICAL NOTES, 1992, 52 (3-4) : 1005 - 1011
[33] The asymptotic behavior of the solution of boundary value problems for the sine-Gordon equation on a finite interval
Pelloni, B
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2005, 12 (04) : 518 - 529
[34] The Asymptotic Behavior of the Solution of Boundary Value Problems for the sine-Gordon Equation on a Finite Interval
Beatrice Pelloni
Journal of Nonlinear Mathematical Physics, 2005, 12 : 518 - 529
[35] DIRICHLET AND NEUMANN BOUNDARY-CONDITIONS FOR THE PRESSURE POISSON EQUATION OF INCOMPRESSIBLE-FLOW
ABDALLAH, S
DREYER, J
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 1988, 8 (09) : 1029 - 1036
[36] Periodic solutions of a nonlinear wave equation with Neumann and Dirichlet boundary conditions
I. A. Rudakov
Russian Mathematics, 2007, 51 (2) : 44 - 52
[37] Periodic Solutions of a Nonlinear Wave Equation with Neumann and Dirichlet Boundary Conditions
Rudakov, I. A.
RUSSIAN MATHEMATICS, 2007, 51 (02) : 44 - 52
[38] General formulas for solutions of initial and boundary-value problems for the Sine-Gordon equation
Belokolos, ED
THEORETICAL AND MATHEMATICAL PHYSICS, 1995, 103 (03) : 613 - 620
[39] Transparent boundary conditions for the sine-Gordon equation: Modeling the reflectionless propagation of kink solitons on a line
Sabirov, K. K.
Yusupov, J. R.
Ehrhardt, M.
Matrasulov, D. U.
PHYSICS LETTERS A, 2022, 423
[40] RECURRENCE SOLUTION OF A BLOCK TRIDIAGONAL MATRIX EQUATION WITH NEUMANN, DIRICHLET, MIXED OR PERIODIC BOUNDARY-CONDITIONS
MARSH, F
POTTER, DE
COMPUTER PHYSICS COMMUNICATIONS, 1981, 24 (02) : 185 - 190

← 1 2 3 4 5 →