The energy method for high-order invariants in shallow water wave equations

DOI10.1016/J.AML.2023.108626zbMath1530.35237arXiv2301.00990OpenAlexW4322625945MaRDI QIDQ6167217

Tong Yan, Qifeng Zhang, Guang-hua Gao

Publication date: 7 July 2023

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2301.00990

zbMATH Keywords

energy methodshallow water wave equationhigh-order invariant

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Free boundary problems for PDEs (35R35)

Related Items (3)

Double reduction order method based conservative compact schemes for the Rosenau equation ⋮ Breather wave solutions for the \((3+1)\)-D generalized shallow water wave equation with variable coefficients ⋮ Error estimates of invariant-preserving difference schemes for the rotation-two-component Camassa-Holm system with small energy

Cites Work

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• Global weak solutions and blow-up structure for the Degasperis-Procesi equation
• A symmetric regularized-long-wave equation
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• An integrable shallow water equation with peaked solitons
• New conservative difference schemes with fourth‐order accuracy for some model equation for nonlinear dispersive waves
• An Invariant Preserving Discontinuous Galerkin Method for the Camassa--Holm Equation
• Finite Difference Methods for Nonlinear Evolution Equations

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