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Abstract
Making use of the method of multiple scales from the classical perturbation theory and the general method of Laplace transformation from the mathematical physics methods, we have solved the perturbation problem for sine-Gordon equation, and obtained the fist-order correction containing no secular terms, as well as the parameters slowly varied with time-
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TANG YI²,

YAN JIA-REN¹,

ZHANG KAI-WANG²,

CHEN ZHEN-HUA³
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Cited By

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[2]	Taogetusang, Yi Li-Na.New infinite sequence solutions to equations of sine-Gordon type. Acta Physica Sinica, 2014, 63(21): 210202.doi:10.7498/aps.63.210202
[3]	Zhang Jian-Wen, Ren Yong-Hua, Wu Run-Heng, Feng Tao.The global attractor of nonlinear thermoelastic coupled Sine-Gordon system. Acta Physica Sinica, 2012, 61(11): 110404.doi:10.7498/aps.61.110404
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[5]	Li Ji-Gen, Yan Jun, Zou Bo-Xia, Su Wen-Jie.A sine-Gordon soliton star model with the action of exotic matter and dark energy. Acta Physica Sinica, 2011, 60(5): 050301.doi:10.7498/aps.60.050301
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[7]	Taogetusang.New infinite sequences exact solutions to sine-Gordon-type equations. Acta Physica Sinica, 2011, 60(7): 070203.doi:10.7498/aps.60.070203
[8]	Lü Da-Zhao, Cui Yan-Ying, Liu Chang-He, Zhang Yan.Abundant interaction solutions of the mKdV-sine-Gordon equation. Acta Physica Sinica, 2010, 59(10): 6793-6798.doi:10.7498/aps.59.6793
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[10]	Mo Jia-Qi.Analytic solution for a class of generalized Sine-Gordon perturbation equation. Acta Physica Sinica, 2009, 58(5): 2930-2933.doi:10.7498/aps.58.2930
[11]	Zhang Jian-Wen, Wang Dan-Xia, Wu Run-Heng.Global solutions for a kind of generalized Sine-Gordon equation with strong damping. Acta Physica Sinica, 2008, 57(4): 2021-2025.doi:10.7498/aps.57.2021
[12]	CHEN ZHI-DE, CHEN SHI-RONG, HUANG NIAN-NING.DIRECT PERTURBATION THEORY FOR THE KdV EQUATION. Acta Physica Sinica, 1999, 48(5): 887-897.doi:10.7498/aps.48.887
[13]	CHEN YU-GUANG, YUAN QING-SHAN, CHEN HONG, ZHANG YU-MEI, WU XIANG.ELEMENTARY EXCITATIONS OF ONE-DIMENSIONALQUANTUM SINE-GORDON MODEL. Acta Physica Sinica, 1997, 46(6): 1174-1182.doi:10.7498/aps.46.1174
[14]	MA DA-YOU.PERTURBATION METHOD IN THE SOLUTION OF NONLINEAR STANDING WAVES. Acta Physica Sinica, 1996, 45(5): 796-800.doi:10.7498/aps.45.796
[15]	Xu Bo-Wei, Chen Zhi-Jian, Ding Guo-Hui, Zhang Yu-Mei.. Acta Physica Sinica, 1995, 44(2): 189-195.doi:10.7498/aps.44.189
[16]	DING GUO-HUI, XU BO-WEI, ZHANG YU-MEI.RENORMALIZATION AND CRITICAL BEHAVIOR OF SINE-GORDON MODEL. Acta Physica Sinica, 1994, 43(9): 1404-1412.doi:10.7498/aps.43.1404
[17]	WANG QIANG-HUA, YAO XI-XIAN.DYNAMICS OF ROTATIONALLY SYMMETRIC SINE-GORDON SOL1TONS WITH APPLLCATIONS FOR A LARGE AREA JOSEPHSON JUNCTION. Acta Physica Sinica, 1993, 42(4): 513-521.doi:10.7498/aps.42.513
[18]	XU BO-WEI, ZHANG YU-MEI, LU WEN-FA.SINE-GORDON MODEL AND GAUSSIAN WAVE FUNCTIONAL. Acta Physica Sinica, 1993, 42(10): 1573-1579.doi:10.7498/aps.42.1573
[19]	WANG ZHEN-LI, LOU SEN-YUE.THE COLEMAN PHASE TRANSITION FOR THE DOUBLE sine-GORDON MODEL IN n+1 DIMENSIONS. Acta Physica Sinica, 1990, 39(7): 8-14.doi:10.7498/aps.39.8
[20]	WANG PEI, HOU BO-YUAN, HOU BO-YU, GUO HAN-YING.DUAL SYMMETRY OF CHIRAL MODEL AND GEOMETRICAL CORRESPONDENCE BETWEEN CHIRAL FIELD AND SINE-GORDON EQUATION. Acta Physica Sinica, 1984, 33(3): 294-301.doi:10.7498/aps.33.294

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Vol. 48, Issue 3 - 1999-02-05

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