Dressing Method for the Degasperis-Procesi Equation
Adrian Constantin, Rossen Ivanov
TL;DR
This paper develops a dressing method to construct soliton solutions for the Degasperis-Procesi equation, aligning with solutions obtained by Hirota's method, thus providing an alternative approach to soliton construction.
Contribution
It introduces a dressing method for the Degasperis-Procesi equation, offering a new technique to derive soliton solutions consistent with existing methods.
Findings
Constructed one and two soliton solutions using the dressing method.
Solutions match those obtained by Hirota's method.
Demonstrated the effectiveness of the dressing approach for this equation.
Abstract
The soliton solutions of the Degasperis-Procesi equations are constructed by the implementation of the dressing method. The form of the one and two soliton solutions coincides with the form obtained by Hirota's method.
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