Solitary wave solutions of a generalization of the mKdV equation

Published 22 Feb 2023 in nlin.SI and math.AP | (2302.11155v1)

Abstract: We consider a generalization of the mKdV equation, which contains dissipation terms similar to those contained in both the Benjamin-Bona-Mahoney equation and the famous Camassa-Holm and Degasperis-Procesi equations. Our objective is the construction of classical (solitons) and non-classical (peakons and cuspons) solitary wave solutions of this equation.

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