호남수학학술지 (Honam Mathematical Journal)

  • 제30권4호
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  • Pages.631-635
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  • 2008
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  • 1225-293X(pISSN)
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  • 2288-6176(eISSN)
호남수학회 (The Honam Mathematical Society)
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THE EXACT SOLUTION OF KLEIN-GORDON'S EQUATION BY FORMAL LINEARIZATION METHOD

  • Taghizadeh, N. (Department of Mathematics, Faculty of Science, University of Cuilan) ;
  • Mirzazadeh, M. (Department of Mathematics, Faculty of Science, University of Cuilan)
  • 투고 : 2008.05.14
  • 심사 : 2008.08.29
  • 발행 : 2008.12.25
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초록

In this paper we discuss on the formal linearization and exact solution of Klein-Gordon's equation (1) $u_{tt}-au_{xx}+bu-cu^3=0 a,b,c{\in}R^+$ So that we know an efficient method for constructing of particular solutions of some nonlinear partial differential equations is introduced.

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참고문헌

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피인용 문헌

  1. Exact multisoliton solutions of nonlinear Klein-Gordon equation in 1 + 2 dimensions vol.128, pp.11, 2013, https://doi.org/10.1140/epjp/i2013-13132-y
  2. THE FORMAL LINEARIZATION METHOD TO MULTISOLITON SOLUTIONS FOR THREE MODEL EQUATIONS OF SHALLOW WATER WAVES vol.25, pp.3, 2012, https://doi.org/10.14403/jcms.2012.25.3.381