Abstract
This study considers an array of waveguides described by a discrete KdV equation. Rogue wave solutions numerically derive for the dKdV equation under periodic and non-vanishing boundary conditions. When solving the dKdV equation with periodic boundary conditions, a discrete rogue wave occurs due to shock front breaking. Additionally, the dKdV equation has been solved numerically under non-vanishing boundary conditions, and it has been found that the rogue wave amplitude depends on the ρ_0 parameter.
Funder
This study is supported by Kırklareli University Scientific Research Projects Coordination Unit under grant no: KLÜUBAP208
Publisher
Anadolu University Journal of Science and Technology – B Theoretical Sciences
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