Special two-soliton solution of the generalized Sine-Gordon equation with a variable coefficient Academic Article

abstract

• A new special two-soliton solution to the generalized Sine-Gordon equation with a variable coefficient is constructed analytically, by using the self-similar method and Hirota bilinear method. To construct this special solution, we do not utilize the pairs of one-soliton solutions, as is customarily done when solving the Sine-Gordon equation, but introduce two auxiliary self-similar variables in Hirota's procedure. We also study features of this solution by choosing different self-similar variables. The results obtained confirm that the behavior of such Sine-Gordon solitons can be easily controlled by the selection of the self-similar variables. 2014 Published by Elsevier Ltd.

authors

• Belic, Milivoj

published proceedings

• APPLIED MATHEMATICS LETTERS

author list (cited authors)

• Zhong, W., & Belic, M.

citation count

• 16

complete list of authors

• Zhong, Wei-Ping||Belić, Milivoj

publication date

• December 2014

publisher

• Elsevier  Publisher

published in

• Applied Mathematics Letters  Journal

keywords

• Kink And Anti-kink Soliton Solutions
• The Generalized Sine-gordon Equation With A Variable Coefficient
• The Self-similar Method

Digital Object Identifier (DOI)

• 10.1016/j.aml.2014.07.015

start page

• 122

end page

• 128

volume

• 38

URL

• http://dx.doi.org/10.1016/j.aml.2014.07.015