Bifurcations, Exact Peakon, Periodic Peakons and Solitary Wave Solutions of the Modified Camassa–Holm Equation

DOI10.1142/S0218127422500766zbMath1487.35347OpenAlexW4224864068MaRDI QIDQ5072449

Ji-Bin Li, Guan-Rong Chen, Yu-Qian Zhou

Publication date: 28 April 2022

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127422500766

zbMATH Keywords

solitary wavebifurcationcompactonperiodic wavepeakonmodified Camassa-Holm equationperiodic peakon

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Periodic solutions to PDEs (35B10) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Bifurcations in context of PDEs (35B32) Bifurcation problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K50) Traveling wave solutions (35C07) Soliton solutions (35C08) Trigonometric solutions to PDEs (35C09)

Cites Work

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• Geometric integrability of the Camassa-Holm equation
• Nonlinear waves and solitons in physical systems
• On the Cauchy problem for a modified Camassa-Holm equation
• Understanding Peakons, Periodic Peakons and Compactons via a Shallow Water Wave Equation
• The Modified Camassa-Holm Equation
• ON A CLASS OF SINGULAR NONLINEAR TRAVELING WAVE EQUATIONS
• Pseudospherical Surfaces and Evolution Equations

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