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Breather Dynamics of the Sine-Gordon Equation 被引量：1

Breather Dynamics of the Sine-Gordon Equation
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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.
作者 Stephen Johnson Anjan Biswas
机构地区 Stephen Johnson and Anjan Biswas Department of Mathematical Sciences Department of Mathematics
出处 《Communications in Theoretical Physics》 SCIE CAS CSCD 2013年第6期664-670,共7页 理论物理通讯（英文版）
关键词 SOLITONS PHONONS conservation laws PERTURBATIONS NUMERICS 正弦戈登方程 初始速度 气动 时间相关 热动力学 运动积分 差分方程 微扰理论
分类号 O175.7 [理学—数学] O437 [理学—基础数学]
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参考文献17

  • 1T. Dauxois and M. Peyrard, Physics of Solitons, Cam- bridge University Press, New York (2006). 被引量：1
  • 2A.L. Fabian, R. Kohl, and A. Biswas, Commun. Nonlin- ear Sci. Numer. Simul. 14 (2009) 1227. 被引量：1
  • 3K. Forinash and C.R. Willis, Phys. D 149 (2001) 95. 被引量：1
  • 4D.R. Gulevich and F.V. Kusmartsev, Phys. Rev. B 74 (2006) 214303. 被引量：1
  • 5J. Li and M. Li, Chaos, Solitons, and Fractals 25 (2005) 1037. 被引量：1
  • 6N. Martinov and N. Vitanov, J. Phys. A: Math. Gen. 25 (1992) 419. 被引量：1
  • 7B. Hu, Nuovo Cimento A 38 (1977) 441. 被引量：1
  • 8S. Johnson and A. Biswas, Phys. Lett. A 374 (2010) 3437. 被引量：1
  • 9S. Johnson, F. Chen, and A. Biswas, Appl. Math. Com- put. 2!7 (2011) 6372. 被引量：1
  • 10E. Mann, Theor. Math. Phys. 107 (1996) 775. 被引量：1

同被引文献21

  • 1Josephson B D. Possible new effects in super conductive tunneling [ J ]. Physics Letters, 1962, 1 ( 7 ) : 251 - 253. 被引量：1
  • 2Gulevieh D R, Gaifullin M B, Kusmartsev F V. Controlled dynamics of sine-Gordon breather in long Josephson junc- tions [ J ]. The European Physical Journal B : Condensed.Matter and Complex Systems,2012,85( 1 ) :1-5. 被引量：1
  • 3Gutman S ,Ha J H. Identification problem for damped Sine- Gordon equation with point sources [ J ]. Journal of Mathe- matical Analysis and Applications,2011,375(2) :648-666. 被引量：1
  • 4Ha J H, Nakagiri S. Identification of constant parameters in perturbed Sine-Gordon equations [ J ]. Journal of the Korean Mathematical Society,2006,43 ( 5 ) :931-950. 被引量：1
  • 5Roblesr-Perez A M. Almost periodic solutions of forced Sine-Gordon equation [ C ]//Proceedings of 2003 Inter- national Conference on Differential Equations. Singapore: World Scientific Publishing Co Pte Ltd,2005:258-263. 被引量：1
  • 6Sun Y. New travelling wave solutions for Sine-Gordon equation [ J ]. Journal of Applied Mathematics, 2014, 2014:841416. 被引量：1
  • 7Yang Z, Zhong W P. Analytical solutions to Sine-Gordon equation with variable coefficient [ J ]. Romanian Reports in Physics,2014,66(2) :262-273. 被引量：1
  • 8Jiang Z W, Wang R H. Numerical solution of one-dimen- sional Sine-Gordon equation using high accuracy mul- tiquadric quasi-interpolation [ J ]. Applied Mathematics and Computation,2012,218 ( 15 ) :7711-7716. 被引量：1
  • 9Demetriou M A, Rosen I G. On the persistence of excita- tion in the adaptive excitation of distributed parameter systems [ J ]. IEEE Transactions on Automatic Control, 1994,39(5) :1117-1123. 被引量：1
  • 10Demetriou M A, Rosen I G. Adaptive identification of se- cond-order distributed parameter systems [ J ]. Inverse Problems, 1994,10(2) :261-294. 被引量：1

引证文献1

Communications in Theoretical Physics
2013年 第6期

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