中国物理B ›› 2006, Vol. 15 ›› Issue (1): 35-38.doi: 10.1088/1009-1963/15/1/006

• GENERAL • 上一篇    下一篇

New exact solutions of nonlinear Klein--Gordon equation

郑强, 岳萍, 龚伦训   

  1. The School of Science, Guizhou Normal University, Guiyang 550001, China
  • 收稿日期:2005-05-16 修回日期:2005-08-30 出版日期:2006-01-20 发布日期:2006-01-20

New exact solutions of nonlinear Klein--Gordon equation

Zheng Qiang (郑强), Yue Ping (岳萍), Gong Lun-Xun (龚伦训)   

  1. The School of Science, Guizhou Normal University, Guiyang 550001, China
  • Received:2005-05-16 Revised:2005-08-30 Online:2006-01-20 Published:2006-01-20

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摘要： New exact solutions, expressed in terms of the Jacobi elliptic functions, to the nonlinear Klein--Gordon equation are obtained by using a modified mapping method. The solutions include the conditions for equation's parameters and travelling wave transformation parameters. Some figures for a specific kind of solution are also presented.

Abstract: New exact solutions, expressed in terms of the Jacobi elliptic functions, to the nonlinear Klein--Gordon equation are obtained by using a modified mapping method. The solutions include the conditions for equation's parameters and travelling wave transformation parameters. Some figures for a specific kind of solution are also presented.

Key words: nonlinear Klein--Gordon equation, Jacobi elliptic functions, modified mapping method, travelling wave solution

中图分类号:  (Partial differential equations)

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