A new framework for studying the stability of genus-1 and genus-2 KP patterns
From MaRDI portal
Publication:1806530
DOI10.1016/S0997-7546(99)80044-2zbMath0938.76030MaRDI QIDQ1806530
Publication date: 27 June 2000
Published in: European Journal of Mechanics. B. Fluids (Search for Journal in Brave)
Hamiltonian systemshallow watermulti-symplectic structurelinear instabilityKadomtsev-Petviashvili equation
Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Interfacial stability and instability in hydrodynamic stability (76E17)
Related Items
A new multisymplectic scheme for generalized Kadomtsev-Petviashvili equation, A new multi-symplectic scheme for the generalized Kadomtsev-Petviashvili equation, Multi-symplectic integrators: numerical schemes for Hamiltonian PDEs that conserve symplecticity, Multisymplecticity of the centred box discretization for Hamiltonian PDEs with \(m\geq 2\) space dimensions
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Wave collapse and instability of solitary waves of a generalized Kadomtsev-Petviashvili equation
- Theta functions and non-linear equations
- An Analytical Model of Periodic Waves in Shallow Water
- Periodic patterns, linear instability symplectic structure and mean-flow dynamics for three-dimensional surface waves
- Toral-equivariant partial differential equations and quasiperiodic patterns
- A geometric formulation of the conservation of wave action and its implications for signature and the classification of instabilities
- Three‐Phase Solutions of the Kadomtsev–Petviashvili Equation
- Multi-symplectic structures and wave propagation
- Symmetries and Decay of the Generalized Kadomtsev--Petviashvili Solitary Waves
