Multisymplectic numerical method for the regularized long-wave equation
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Publication:711833
DOI10.1016/j.cpc.2009.05.009zbMath1197.65144OpenAlexW2074973369MaRDI QIDQ711833
Publication date: 28 October 2010
Published in: Computer Physics Communications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cpc.2009.05.009
solitonsundular borebackward error analysisregularized long-wave equationmultisymplectic structurepreissman scheme
Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Higher-order nonlinear hyperbolic equations (35L75)
Related Items (9)
Novel implicit/explicit local conservative schemes for the regularized long-wave equation and convergence analysis ⋮ Optimal error estimate of two linear and momentum‐preserving Fourier pseudo‐spectral schemes for the RLW equation ⋮ Multi-symplectic methods for the Itô-type coupled KdV equation ⋮ A conservative weighted finite difference scheme for regularized long wave equation ⋮ A new multi-symplectic scheme for the generalized Kadomtsev-Petviashvili equation ⋮ A new energy conservative scheme for regularized long wave equation. ⋮ A new functional iterative algorithm for the regularized long-wave equation using an integral equation formalism ⋮ Local momentum-preserving algorithms for the GRLW equation ⋮ The use of interpolating element-free Galerkin technique for solving 2D generalized Benjamin-Bona-Mahony-Burgers and regularized long-wave equations on non-rectangular domains with error estimate
Cites Work
- Numerical study of the regularized long-wave equation. II: Interaction of solitary waves
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- A computational method for the regularized long wave (RLW) equation
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- Model equations for long waves in nonlinear dispersive systems
- A least-squares finite element scheme for the RLW equation
- Conservative scheme for a model of nonlinear dispersive waves and its solitary waves induced by boundary motion
- Multi-symplectic integrators: numerical schemes for Hamiltonian PDEs that conserve symplecticity
- Solitary waves of the splitted RLW equation
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