A PANORAMIC VIEW OF SOME PERTURBED NONLINEAR WAVE EQUATIONS
DOI10.1142/S0218127404009211zbMath1063.65082OpenAlexW2008833942MaRDI QIDQ4655560
No author found.
Publication date: 8 March 2005
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218127404009211
nonlocalitystochastic equationsnumerical examplesMaxwell equationsnonlinear medianonlinear wave equationsFinite differenceselectromagnetic shocks
PDEs in connection with optics and electromagnetic theory (35Q60) Second-order nonlinear hyperbolic equations (35L70) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite difference methods applied to problems in optics and electromagnetic theory (78M20) Electromagnetic theory (general) (78A25)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Two energy conserving numerical schemes for the sine-Gordon equation
- Analysis of four numerical schemes for a nonlinear Klein-Gordon equation
- Minimum action solutions of some vector field equations
- Existence of localized solutions for a classical nonlinear Dirac field
- Finite-difference solutions of a non-linear Schrödinger equation
- Exact energy-momentum conserving algorithms and symplectic schemes for nonlinear dynamics
- Numerical solution of a nonlinear Klein-Gordon equation
- Efficient shooting algorithms for solving the nonlinear one-dimensional scalar Helmholtz equation
- Symplectic integration of Hamiltonian wave equations
- Derivation of the discrete conservation laws for a family of finite difference schemes
- Symplectic methods for the Ablowitz-Ladik model
- Comparison between staggered and unstaggered finite-difference time-domain grids for few-cycle temporal optical soliton propagation
- Ito versus Stratonovich
- On the Hamiltonian interpolation of near-to-the-identity symplectic mappings with application to symplectic integration algorithms
- Numerical simulation of nonlinear Schrödinger systems: A new conservative scheme
- Fractional-order diffusion-wave equation
- Small-amplitude solitons in a nonlocal sine-Gordon model
- Conservative numerical methods for \(\ddot x=f(x)\)
- Lie-Poisson Hamilton-Jacobi theory and Lie-Poisson integrators
- Numerical solutions of the Maxwell-Bloch laser equations
- Nonlinear Hamiltonian equations with fractional damping
- Fractional diffusion and wave equations
- Solving Ordinary Differential Equations I
- A model unified field equation
- Symplectic integration of Hamiltonian systems
- Conerservative and Nonconservative Schemes for the Solution of the Nonlinear Schrödinger Equation
- Solitary Wave Collisions
- Global and Exploding Solutions for Nonlocal Quadratic Evolution Problems
- On radial sine-Gordon breathers
- Dynamics of topological solitons in models with nonlocal interactions
- THE LOCAL ACTIVITY CRITERIA FOR "DIFFERENCE-EQUATION" CNN
- Symplectic methods for the nonlinear Schrödinger equation
- Multi-symplectic integrators: numerical schemes for Hamiltonian PDEs that conserve symplecticity
- Finite-difference schemes for nonlinear wave equation that inherit energy conservation property