New traveling wave and soliton solutions of the sine-Gordon equation with a variable coefficient Academic Article

abstract

• 2019 Elsevier GmbH We obtain new traveling wave and soliton solutions of the sine-Gordon (SG) equation with a variable coefficient (VC), with the help of the F-expansion technique and the homogeneous balance method. The solutions are expressed in terms of the Jacobi elliptic functions, which in the limiting cases degenerate into trigonometric and soliton forms. Our results demonstrate that traveling and solitary waves of the SG with a VC can be manipulated and controlled by changing the VC of the inhomogeneity of the system.

authors

• Belic, Milivoj

published proceedings

• OPTIK

author list (cited authors)

• Yang, Z., Zhong, W., Zhong, W., & Belic, M. R.

citation count

• 4

complete list of authors

• Yang, Zhengping||Zhong, Wei-Ping||Zhong, WenYe||Belic, Milivoj R

publication date

• December 2019

publisher

• Elsevier  Publisher

published in

• OPTIK  Journal

keywords

• F-expansion Technique
• Sine-gordon Equation With A Variable Coefficient
• Solitary Waves

Digital Object Identifier (DOI)

• 10.1016/j.ijleo.2019.163247

start page

• 163247

end page

• 163247

volume

• 198

URL

• http://dx.doi.org/10.1016/j.ijleo.2019.163247