Peakons, solitary patterns and periodic solutions for generalized Camassa-Holm equations

DOI10.1016/j.physleta.2007.03.096zbMath1221.82106OpenAlexW2051530899MaRDI QIDQ719114

Yin Zheng, Shaoyong Lai

Publication date: 27 September 2011

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2007.03.096

zbMATH Keywords

periodic solutionspeakonsdispersive equationssolitary patterns

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Soliton equations (35Q51) Statistical mechanics of plasmas (82D10) Noncompact semigroups, dispersive equations, perturbations of infinite-dimensional dissipative dynamical systems (37L50) Soliton solutions (35C08)

Related Items

Peakon, rational function and periodic solutions for Tzitzeica-Dodd-Bullough type equations ⋮ Non-classical traveling solutions in a nonlinear Klein Gordon model ⋮ Compact and non compact structures of the phi-four equation ⋮ The local well-posedness and existence of weak solutions for a generalized Camassa-Holm equation ⋮ The existence and uniqueness of the local solution for a Camassa-Holm type equation ⋮ Travelling wave solutions for a class of nonlinear fourth order variant of a generalized Camassa-Holm equation ⋮ The integral factor method for solving a class of generalized KdV equation ⋮ Bifurcations and exact bounded travelling wave solutions for a partial differential equation

Cites Work

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• Peakons and periodic cusp waves in a generalized Camassa-Holm equation
• Solitons in the Camassa-Holm shallow water equation
• The Camassa Holm equation: Conserved quantities and the initial value problem
• On the integrable perturbations of the Camassa–Holm equation
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• Compactons: Solitons with finite wavelength
• Peakon solutions of the shallow water equation