The long wavelength limit of periodic solutions of water wave models
DOI10.1111/sapm.12705MaRDI QIDQ6590527
Youngjoon Hong, Jerry L. Bona, Marcia Scialom, Hongqiu Chen, Mahendra Panthee
Publication date: 21 August 2024
Published in: Studies in Applied Mathematics (Search for Journal in Brave)
numerical analysislong wavelength limitsnumerical simulation of localized solutions defined on the whole real lineunidirectional water wave models
Smoothness and regularity of solutions to PDEs (35B65) KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Blow-up in context of PDEs (35B44) Initial value problems for PDEs and systems of PDEs with constant coefficients (35E15)
Cites Work
- Approximating initial-value problems with two-point boundary-value problems: BBM-equation
- Long-period limit of nonlinear dispersive waves: the BBM-equation.
- Sharp well-posedness results for the BBM equation
- An initial- and boundary-value problem for a model equation for propagation of long waves
- Periodic initial-value problem for BBM-equation
- Comparison of quarter-plane and two-point boundary value problems: the BBM-equation
- Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
- Convergence of periodic wavetrains in the limit of large wavelength
- An evaluation of a model equation for water waves
- Model equations for long waves in nonlinear dispersive systems
This page was built for publication: The long wavelength limit of periodic solutions of water wave models