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http://dx.doi.org/10.14403/jcms.2012.25.3.381

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)
Publication Information
Journal of the Chungcheong Mathematical Society / v.25, no.3, 2012 , pp. 381-391 More about this Journal
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.
Keywords
formal linearization method; multisoliton solutions; shallow water waves equations;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
연도 인용수 순위
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.   DOI   ScienceOn
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.   DOI   ScienceOn
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   DOI   ScienceOn