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

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

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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.

Original language	English
Pages (from-to)	246-256
Number of pages	11
Journal	Russian Journal of Mathematical Physics
Volume	30
Issue number	2
DOIs	https://doi.org/10.1134/S1061920823020103
State	Published - Jun 2023

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© 2023, Pleiades Publishing, Ltd.

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10.1134/S1061920823020103

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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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N2 - 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.

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

Abstract

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