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On peaked solitary waves of Degasperis - Procesi equation
Shijun Liao
The Degasperis - Procesi (DP) equation describing the propagation of shallow water waves contains a physical parameter , and it is well-known that the DP equation admits solitar…
On peaked solitary waves of Camassa-Holm equation
Shijun Liao
Unlike the Boussinesq, KdV and BBM equations, the celebrated Casamma-Holm (CH) equation can model both phenomena of soliton interaction and wave breaking. Especially, it has peaked…
Do peaked solitary water waves indeed exist?
Shijun Liao
Many models of shallow water waves admit peaked solitary waves. However, it is an open question whether or not the widely accepted peaked solitary waves can be derived from the ful…
Two kinds of peaked solitary waves of the KdV, BBM and Boussinesq equations
Shijun Liao
It is well-known that the celebrated Camassa-Holm equation has the peaked solitary waves, which have been not reported for other mainstream models of shallow water waves. In this l…