Classical and nonclassical solitary waves in the general Degasperis-Procesi model

DOI10.1134/S1061920819030129zbMath1427.37054OpenAlexW2971965299MaRDI QIDQ2334644

Yanyan Li

Publication date: 7 November 2019

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1061920819030129

zbMATH Keywords

solitonssolitary wave solutionspeakonscuspons

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (3)

Collision of solitons in non-integrable versions of the Degasperis-Procesi model ⋮ Cuspon-type Waves and Their Properties ⋮ Solitary wave solutions to a generalization of the mKdV equation

Cites Work

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• The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
• Global weak solutions and blow-up structure for the Degasperis-Procesi equation
• Solitons, peakons, and periodic cuspons of a generalized Degasperis-Procesi equation
• General Degasperis-Procesi equation and its solitary wave solutions
• M-shape peakons, dehisced solitons, cuspons and new 1-peak solitons for the Degasperis-Procesi equation
• Traveling wave solutions of the Camassa-Holm equation
• An integrable shallow water equation with peaked solitons
• Multisoliton solutions of the Degasperis–Procesi equation and their peakon limit

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