Abstract
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.
Original language | English |
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Article number | 163247 |
Journal | Optik |
Volume | 198 |
DOIs | |
Publication status | Published - Dec 2019 |
Externally published | Yes |
Keywords
- F-expansion technique
- Solitary waves
- sine-Gordon equation with a variable coefficient