Differential invariants of Camassa-Holm equation

DOI10.1016/j.cjph.2019.02.028OpenAlexW2918317087WikidataQ115358947 ScholiaQ115358947MaRDI QIDQ6120226

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Publication date: 25 March 2024

Published in: Chinese Journal of Physics (Taipei) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cjph.2019.02.028

zbMATH Keywords

shallow water equationCamassa-Holm equationdifferential invariantsequivariant moving frames

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

Cites Work

• Asymptotics of step-like solutions for the Camassa-Holm equation
• A model containing both the Camassa-Holm and Degasperis-Procesi equations
• On the cohomology of the invariant Euler--Lagrange complex
• The Camassa-Holm equation as an incompressible Euler equation: a geometric point of view
• Persistence of freeness for Lie pseudogroup actions
• Recursive moving frames for Lie pseudo-groups
• On the Cauchy problem for the periodic \(b\)-family of equations and of the non-uniform continuity of Degasperis-Procesi equation
• Infinite propagation speed of the Camassa-Holm equation
• Algorithms for differential invariants of symmetry groups of differential equations
• On the structure of Lie pseudo-groups
• On a class of physically important integrable equations
• Wave breaking for nonlinear nonlocal shallow water equations
• Moving coframes. II: Regularization and theoretical foundations
• Moving coframes. I: A practical algorithm
• Breather, lump and \(X\) soliton solutions to nonlocal KP equation
• Some tricks from the symmetry-toolbox for nonlinear equations: Generalizations of the Camassa-Holm equation
• The limit behavior of the solutions to a class of nonlinear dispersive wave equations
• Lie symmetries and invariant solutions of the shallow-water equation
• Traveling wave solutions of the Camassa-Holm equation
• An integrable shallow water equation with peaked solitons
• Peakon solutions of the shallow water equation
• A Lagrangian approximation to the water-wave problem
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