Multisymplectic geometry and multisymplectic Preissman scheme for the KP equation
From MaRDI portal
Publication:4832708
DOI10.1063/1.1487444zbMath1060.37050arXivmath-ph/0201010OpenAlexW2052925667MaRDI QIDQ4832708
Publication date: 14 December 2004
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math-ph/0201010
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)
Related Items
Efficient linearized local energy-preserving method for the Kadomtsev-Petviashvili equation ⋮ A new multisymplectic scheme for generalized Kadomtsev-Petviashvili equation ⋮ New multisymplectic self-adjoint scheme and its composition scheme for the time-domain Maxwell’s equations ⋮ Symplectic and multi-symplectic wavelet collocation methods for two-dimensional Schrödinger equations ⋮ The multi-symplectic Fourier pseudospectral method for solving two-dimensional Hamiltonian PDEs ⋮ A new multi-symplectic scheme for the generalized Kadomtsev-Petviashvili equation ⋮ Finite difference scheme of a model for nonlinear wave-wave interaction in ionic media ⋮ Multi-symplectic methods for the coupled 1D nonlinear Schrödinger system ⋮ Numerical analysis of a multi-symplectic scheme for a strongly coupled Schrödinger system ⋮ A variational approach to \((m + 1)\)-dimensional \(n\)-order field ⋮ Multisymplectic Preissman scheme for the time-domain Maxwell’s equations ⋮ A new explicit multisymplectic scheme for the regularized long-wave equation
Cites Work
- Evolution of lump solutions for the KP equation
- Multisymplectic geometry, variational integrators, and nonlinear PDEs
- Wave collapse and instability of solitary waves of a generalized Kadomtsev-Petviashvili equation
- A finite difference method for the Korteweg-de Vries and the Kadomtsev-Petviashvili equations
- Geodesic fields in the calculus of variation for multiple integrals
- On the excitation of long nonlinear water waves by a moving pressure distribution. Part 2. Three-dimensional effects
- Multi-symplectic structures and wave propagation
- Multisymplectic geometry and multisymplectic Preissmann scheme for the KdV equation