Superposition solutions to the extended KdV equation for water surface waves
Superposition solutions to the extended KdV equation for water surface waves
The KdV equation can be derived in the shallow water limit of the Euler equations. Over the last few decades, this equation has been extended to include higher-order effects. Although this equation has only one conservation law, exact periodic and solitonic solutions exist. Khare and Saxena (Phys Lett A 377:2761–2765, …