欢迎登录材料期刊网

材料期刊网

高级检索

给出一种三角函数型辅助方程及其解,并借助符号计算系统Mathematica,把该方程直接应用到sine-Gordon方程、双sine-Gordon方程和MKdV-sine-Gordon方程,得到了Jacobi椭圆函数精确解以及退化后的孤波解和三角函数波解.

参考文献

[1] Sirendaoerji,Sun Jiong.A direct method for solving sine-Gordon type equations[J].Phys.Left.A,2002,298:133-139.
[2] Xie Yuanxi,et al.A unified approach in seeking the solitary wave solutions to sine-Gordon type equations[J].Chin.Phys.,2005,14:1303-1306.
[3] Taogetusang,Sirendaoerji.New exact solitary wave solutions for the sine-Gordon type equations[J].Journal of Inner Mongolia Normal University (内蒙古师范大学学报),2004,33:361-365 (in Chinese).
[4] Zhang Jinliang,Ren D F,Wang M L,et al.The periodic wave solution for the generalized Nizhnik-Novikov-Veselov equation[J].Chin.Phys.,2003,12:825-830.
[5] Fu Zuntao,Liu Shikuo,Liu Shida.Elliptic equation and new solutions to nonlinear wave equations[J].Commun.Theor.Phys.,2004,42:343-346.
[6] Li Huamei.New exact solutions of nonlinear Gross-Pitaevskii equation with weak bias magnetic and time-dependent laser fields[J].Chin.Phys.,2005,14:251-256.
[7] Zhao Xueqin,Zhi Hongyan,Zhang Hongqing.Construction of doubly-Periodic solutions to nonlinear partial differential equations using improved Jacobi elliptic function expansion method and symbolic computation[J].Chin.Phys.,2006,15:2202-2209.
[8] Sirendaoerji,Sun Jiong.Auxiliary equation method for solving nonlinear partial differential equations[J].Phys.Lett.A,2003,309:387-396.
[9] Yan Zenya,Zhang Hongqing.Exact soliton solutions of the variable coeficient KdV-MKdV equation with three arbitrary funtions[J].Acta Physica Sinica (物理学报),1999,48(11):1957-1961 (in Chinese).
[10] Chen Yong,Li Biao.New exact travelling wave solutions for generalized Zakharov-Kuzentsov equations using general projective Riccati equation method[J].Commun.Theor.Phys.,2004,41:1-6.
[11] Li Desheng,et al.The new doubly-periodic solutions for nonlinear coupled scalar field equations(I)[J].Acta Physica Sinica (物理学报),2003,5(10):2373-2377 (in Chinese).
[12] Fu Zuntao,Liu Shikuo,Liu Shida.A new approach to solve nonlinear wave equations[J].Commun.Theor.Phys.,2003,39:27-30.
[13] Fu Zuntao,Liu Shida,Liu Shikuo.Solving nonlinear wave equations elliptic equation[J].Commun.Theor.Phys.,2003,39:531-536.
[14] Fu Zuntao,Liu Shikuo,Liu Shida.A new method to construct solutions to nonliear wave equations[J].Acta Physica Sinica (物理学报),2004,53:343-348 (in Chinese).
[15] Xu Bingzhen,He Jinyu,Wang Wenzheng.Solitary wave solutions of a new Hamilt(o)nian amplititude equation[J].Chinese Journal of Quantum Electronics (量子电子学报),1996,13(1):46-50 (in Chinese).
[16] Lin Shanliang,Wang Wenzheng,Xu Jingzhi.The solitary waves solution of the extended nonlinear Schr(o)dinger equation with the bandwidth-limited optical gain and loss terms[J].Chinese Journal of Quantum Electronics (量子电子学报),1994,11(1):55-60 (in Chinese).
[17] Tian Guichen,et al.Exact solutions of the general variable coefficient KdV equation with external term[J].Chinese Journal of Quantum Electronics (量子电子学报),2005,22(3):339-343 (in Chinese).
[18] Zhou Jianping,Yan Zhilian.New explicit solutions for a class of generalized nonlinear sine-Gordon equation[J].Chinese Journal of Quantum Electronics (量子电子学报),2007,24(5):535-538 (in Chinese).
上一张 下一张
上一张 下一张
计量
  • 下载量()
  • 访问量()
文章评分
  • 您的评分:
  • 1
    0%
  • 2
    0%
  • 3
    0%
  • 4
    0%
  • 5
    0%