Cuspon-type Waves and Their Properties

DOI10.33581/1561-4085-2021-24-2-145-155zbMath1529.35404OpenAlexW3179414041MaRDI QIDQ6132600

Georgii A. Omel'yanov

Publication date: 17 August 2023

Published in: Nonlinear Phenomena in Complex Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.33581/1561-4085-2021-24-2-145-155

zbMATH Keywords

asymptoticsweak solutionscuspongeneral Degasperis-Procesi model

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Free boundary problems for PDEs (35R35) Weak solutions to PDEs (35D30) Traveling wave solutions (35C07) Soliton solutions (35C08)

Cites Work

• Unnamed Item
• Formation and dynamics of shock waves in the Degasperis-Procesi equation
• Collision of solitons in non-integrable versions of the Degasperis-Procesi model
• General Degasperis-Procesi equation and its solitary wave solutions
• Classical and nonclassical solitary waves in the general Degasperis-Procesi model
• An integrable shallow water equation with peaked solitons

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