Solitary Wave Solutions to a Generalization of the mKdV Equation

G. Omel’yanov; J. Noyola Rodriguez

doi:10.1134/S1061920823020103

Solitary Wave Solutions to a Generalization of the mKdV Equation

G. Omel’yanov^*, J. Noyola Rodriguez

^*Autor correspondiente de este trabajo

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Resumen

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.

Idioma original	Inglés
Páginas (desde-hasta)	246-256
Número de páginas	11
Publicación	Russian Journal of Mathematical Physics
Volumen	30
N.º	2
DOI	https://doi.org/10.1134/S1061920823020103
Estado	Publicada - jun. 2023

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© 2023, Pleiades Publishing, Ltd.

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abstract = "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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AB - 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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Solitary Wave Solutions to a Generalization of the mKdV Equation

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