Direct/split invariant-preserving Fourier pseudo-spectral methods for the rotation-two-component Camassa-Holm system with peakon solitons
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Publication:6557914
DOI10.1016/j.cpc.2024.109237MaRDI QIDQ6557914
Tong Yan, Qifeng Zhang, Yong Chen, Dinghua Xu
Publication date: 18 June 2024
Published in: Computer Physics Communications (Search for Journal in Brave)
Fourier pseudo-spectral methodrotation-two-component Camassa-Holm systemoperator splitting techniquepeakon solitons
Cites Work
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- On the wave-breaking phenomena and global existence for the periodic rotation-two-component Camassa-Holm system
- Multi-symplectic wavelet collocation method for the nonlinear Schrödinger equation and the Camassa-Holm equation
- A compact split-step finite difference method for solving the nonlinear Schrödinger equations with constant and variable coefficients
- Geometric finite difference schemes for the generalized hyperelastic-rod wave equation
- The multi-symplectic Fourier pseudospectral method for solving two-dimensional Hamiltonian PDEs
- Traveling wave solutions for a class of one-dimensional nonlinear shallow water wave models
- A self-adaptive moving mesh method for the Camassa-Holm equation
- Some new structure-preserving algorithms for general multi-symplectic formulations of Hamiltonian PDEs
- Multi-symplectic integration of the Camassa-Holm equation
- An explicit finite difference scheme for the Camassa-Holm equation
- Model equations for nonlinear dispersive waves in a compressible Mooney-Rivlin rod
- The Camassa-Holm hierarchy, \(N\)-dimensional integrable systems, and algebro-geometric solution on a symplectic submanifold
- Well-posedness, blow-up criteria and Gevrey regularity for a rotation-two-component Camassa-Holm system
- A conservative Fourier pseudo-spectral method for the nonlinear Schrödinger equation
- The analysis of operator splitting methods for the Camassa-Holm equation
- Wave-breaking and peakons for a modified Camassa-Holm equation
- A uniformly accurate exponential wave integrator Fourier pseudo-spectral method with energy-preservation for long-time dynamics of the nonlinear Klein-Gordon equation
- Two completely explicit and unconditionally convergent Fourier pseudo-spectral methods for solving the nonlinear Schrödinger equation
- Wave breaking analysis for the periodic rotation-two-component Camassa-Holm system
- Peakon weak solutions for the rotation-two-component Camassa-Holm system
- Arbitrarily high-order energy-preserving schemes for the Camassa-Holm equation
- Error estimates for Galerkin finite element methods for the Camassa-Holm equation
- Numerical study of traveling-wave solutions for the Camassa--Holm equation
- Numerical simulation of Camassa-Holm peakons by adaptive upwinding.
- On the rotation-two-component Camassa-Holm system modelling the equatorial water waves
- Spectral Methods
- A Local Discontinuous Galerkin Method for the Camassa–Holm Equation
- Splitting methods
- A Convergent Finite Difference Scheme for the Camassa–Holm Equation with General $H^1$ Initial Data
- A shallow water equation on the circle
- Pseudospectra of Linear Operators
- An integrable shallow water equation with peaked solitons
- Implicit-explicit relaxation Runge-Kutta methods: construction, analysis and applications to PDEs
- Linearly Implicit Invariant-Preserving Decoupled Difference Scheme For The Rotation-Two-Component Camassa--Holm System
- Blow-up phenomena for the rotation-two-component Camassa–Holm system
- Finite-Volume-Particle Methods for the Two-Component Camassa-Holm System
- Breaking Waves And Solitary Waves To The Rotation-Two-Component Camassa--Holm System
- Variational principles for stochastic fluid dynamics
- Multi-Symplectic Fourier Pseudospectral Method for the Kawahara Equation
- Geometric Numerical Integration for Peakon b-Family Equations
- On Invariant-Preserving Finite Difference Schemes for the Camassa-Holm Equation and the Two-Component Camassa-Holm System
- On the Construction and Comparison of Difference Schemes
- An Invariant Preserving Discontinuous Galerkin Method for the Camassa--Holm Equation
- Multi-symplectic Fourier pseudospectral method for the nonlinear Schrödinger equation
- Exact travelling-wave solutions of an integrable equation arising in hyperelastic rods.
- A linearly-implicit and conservative Fourier pseudo-spectral method for the 3D Gross-Pitaevskii equation with angular momentum rotation
- Relaxation Exponential Rosenbrock-Type Methods for Oscillatory Hamiltonian Systems
- Optimal error estimates of SAV Crank-Nicolson finite element method for the coupled nonlinear Schrödinger equation
- Well-posedness and wave-breaking for the stochastic rotation-two-component Camassa-Holm system
- Error estimates of invariant-preserving difference schemes for the rotation-two-component Camassa-Holm system with small energy
- Arbitrarily High-Order Energy-Preserving Schemes for the Camassa-Holm Equation Based on the Quadratic Auxiliary Variable Approach
- The energy method for high-order invariants in shallow water wave equations
- Fully conservative difference schemes for the rotation-two-component Camassa-Holm system with smooth/nonsmooth initial data
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