Cusp solitons of the Degasperis-Procesi equation
نویسندگان
چکیده
In this paper, we present cusp solitons for the Degasperis-Procesi (DP) equation under the inhomogeneous boundary condition lim|x|→∞ u= A, where A is a non-zero constant. Through mathematical analysis, a stationary cusp soliton is presented in an explicit form of u(x, t) = √ 1− e−2|x| ∈ W 1,1 loc , but / ∈ H1 loc, while most cusp solitons are expressed in an implicit form in the space ofW 1,1 loc .
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