Solitary and extended waves in the generalized sinh-Gordon equation with a variable coefficient Academic Article uri icon

abstract

  • New solitary and extended wave solutions of the generalized sinh-Gordon (SHG) equation with a variable coefficient are found by utilizing the self-similar transformation between this equation and the standard SHG equation. Two arbitrary self-similar functions are included in the known solutions of the standard SHG equation, to obtain exact solutions of the generalized SHG equation with a specific variable coefficient. Our results demonstrate that the solitary and extended waves of the variable-coefficient SHG equation can be manipulated and controlled by a proper selection of the two arbitrary self-similar functions. © 2013 Springer Science+Business Media Dordrecht.

author list (cited authors)

  • Zhong, W., Belić, M. R., & Petrović, M. S.

citation count

  • 6

publication date

  • November 2013