The multi-symplectic algorithm for ``good Boussinesq equation
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Publication:1861050
DOI10.1007/BF02456980zbMath1013.76063MaRDI QIDQ1861050
Wenping Zeng, Langyang Huang, Meng-Zhao Qin
Publication date: 14 April 2003
Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)
conservation lawgood Boussinesq equationfifteen-point difference schemelong-time numerical behaviormulti-symplectic Preissman integrator
Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite difference methods applied to problems in fluid mechanics (76M20) Numerical methods for Hamiltonian systems including symplectic integrators (65P10)
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Cites Work
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- Construction of symplectic schemes for wave equations via hyperbolic functions \(\sinh(x)\), \(\cosh(x)\) and \(\tanh(x)\)
- Nonlinear stability and convergence of finite-difference methods for the good Boussinesq equation
- Multi-symplectic Runge-Kutta collocation methods for Hamiltonian wave equations
- Numerical Solutions of the Good Boussinesq Equation
- Soliton and antisoliton interactions in the ‘‘good’’ Boussinesq equation
- Multi-symplectic structures and wave propagation
- Multi-symplectic integrators: numerical schemes for Hamiltonian PDEs that conserve symplecticity