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

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.

published proceedings

• NONLINEAR DYNAMICS

author list (cited authors)

• Zhong, W., Belic, M. R., & Petrovic, M. S.

citation count

• 9

complete list of authors

• Zhong, Wei-Ping||Belic, Milivoj R||Petrovic, Milan S

publication date

• April 2014

publisher

• Springer Nature  Publisher

published in

• Nonlinear Dynamics  Journal

keywords

• Sinh-gordon Equation
• Solitary And Extended Waves
• Variable Coefficient

Digital Object Identifier (DOI)

• 10.1007/s11071-013-1162-7

start page

• 717

end page

• 723

volume

• 76

issue

• 1

URL

• http://dx.doi.org/10.1007/s11071-013-1162-7