Factorization method and stability of φ4 and Sine-Gordon theory

被引:2
|
作者
Sadeghi, J.
Asadi, A.
机构
[1] Mazandran Univ, Dept Phys, Fac Sci, Babol Sar, Iran
[2] Inst Studies Theoret Phys & Math IPM, Tehran, Iran
关键词
D O I
10.1016/j.chaos.2006.01.063
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we consider phi(4) and Sin-Gordon theory and also we construct the general form of the stability equation. In order to discuss the stability, we use factorization method. Using the associated Jacobi differential equation, we obtain the exactly bound states of the phi(4) and Sine-Gordon theory. According to the supersymmetry approach, these bound states are represented by two pairs of first order differential operators. (c) 2006 Elsevier Ltd. All rights reserved.
引用
收藏
页码:547 / 553
页数:7
相关论文
共 50 条
  • [1] STABILITY THEORY FOR DAMPED SINE-GORDON EQUATION
    DICKEY, RW
    SIAM JOURNAL ON APPLIED MATHEMATICS, 1976, 30 (02) : 248 - 262
  • [2] SCALING IN SINE-GORDON THEORY
    BENABRAHAM, SI
    PHYSICS LETTERS A, 1976, 56 (02) : 67 - 69
  • [3] On robust stability of sine-Gordon equation
    Efimov, Denis
    Fridman, Emilia
    Richard, Jean-Pierre
    2019 IEEE 58TH CONFERENCE ON DECISION AND CONTROL (CDC), 2019, : 7001 - 7006
  • [4] STABILITY PROBLEM FOR SINE-GORDON EQUATION
    CALLEGAR.AJ
    REISS, EL
    NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1972, 19 (05): : A642 - &
  • [5] Perturbation theory for sine-Gordon equation
    Tang, Y
    Yan, JR
    Zhang, KW
    Chen, ZH
    ACTA PHYSICA SINICA, 1999, 48 (03) : 480 - 484
  • [6] Classical matrix sine-Gordon theory
    Park, QH
    Shin, HJ
    NUCLEAR PHYSICS B, 1996, 458 (1-2) : 327 - 354
  • [7] SOLITON MASS IN SINE-GORDON THEORY
    TORRESHERNANDEZ, JL
    NUCLEAR PHYSICS B, 1976, 116 (01) : 214 - 232
  • [8] Perturbation theory for Sine-Gordon equation
    Tang, Yi
    Yan, Jia-Ren
    Zhang, Kai-Wang
    Chen, Zhen-Hua
    Wuli Xuebao/Acta Physica Sinica, 1999, 48 (03): : 483 - 484
  • [9] DUALITY IN COMPLEX SINE-GORDON THEORY
    PARK, QH
    SHIN, HJ
    PHYSICS LETTERS B, 1995, 359 (1-2) : 125 - 132
  • [10] QUANTUM THERMODYNAMICS OF SINE-GORDON, PHI-4 AND DOUBLE SINE-GORDON CHAINS
    GIACHETTI, R
    TOGNETTI, V
    VAIA, R
    JOURNAL DE PHYSIQUE, 1989, 50 (C-3): : 59 - 64