Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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THE FORMAL LINEARIZATION METHOD TO MULTISOLITON SOLUTIONS FOR THREE MODEL EQUATIONS OF SHALLOW WATER WAVES

  • Taghizadeh, N. (Department of Mathematics University of Guilan) ;
  • Mirzazadeh, M. (Department of Mathematics University of Guilan) ;
  • Paghaleh, A. Samiei (Department of Mathematics University of Guilan)
  • Published : 2012.08.15
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Abstract

In this paper, the formal linearization method is used to construct multisoliton solutions for three model of shallow water waves equations. The three models are completely integrable. The formal linearization method is an efficient method for obtaining exact multisoliton solutions of nonlinear partial differential equations. The method can be applied to nonintegrable equations as well as to integrable ones.

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References

  1. A. M. Wazwaz, The Hirota's direct method for multiple-soliton solutions for three model equations of shallow water waves, Appl. Math. Comput. 201 (2008), 489-503. https://doi.org/10.1016/j.amc.2007.12.037
  2. N. Taghizadeh, M. Mirzazadeh, The exact solution of Klein-Gordon's equation by formal linearization method, Honam Mathematical Journal 30 (2008), no. 4, 631-635. https://doi.org/10.5831/HMJ.2008.30.4.631
  3. N. Taghizadeh, The multisoliton solution of generalized Burger's equation by the formal linearization method, Communications of the Korean Mathematical Society 26 (2011), no. 2, 207-214 https://doi.org/10.4134/CKMS.2011.26.2.207

Cited by

  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