Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

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Commun. Korean Math. Soc. 2011; 26(2): 207-214

Printed June 1, 2011

https://doi.org/10.4134/CKMS.2011.26.2.207

Copyright © The Korean Mathematical Society.

The multisoliton solution of generalized Burger's equation by the formal linearization method

Mohammad Mirzazadeh and Nasir Taghizadeh

Faculty of Science, University of Guilan, Faculty of Science, University of Guilan

Abstract

The formal linearization method is an efficient method for constructing multisoliton solution of some nonlinear partial differential equations. This method can be applied to nonintegrable equations as well as to integrable ones. In this paper, we obtain multisoliton solution of generalization Burger's equation and the (3+1)-dimension Burger's equation and the Boussinesq equation by the formal linearization method.

Keywords: formal linearization method, multisoliton solution, generalized Burger's equation, $(3+1)$-dimension Burger's equation, Boussinesq equation

MSC numbers: 47F05, 35Q55, 35G25

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