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- Title
Conservation laws and invariants of motion for nonlinear internal waves: part II.
- Authors
Hamdi, Samir; Morse, Brian; Halphen, Bernard; Schiesser, William
- Abstract
In this paper, we derive three conservation laws and three invariants of motion for the generalized Gardner equation. These conserved quantities for internal waves are the momentum, energy, and Hamiltonian. The approach used for the derivation of these conservation laws and their associated invariants of motion is direct and does not involve the use of variational principles. It can be easily applied for finding similar invariants of motion for other general types of KdV, Gardner, and Boussinesq equations. The stability and conservation properties of discrete schemes for the simulations of internal waves propagation can be assessed and monitored using the analytical expressions of the constants of motion that are derived in this work.
- Subjects
INTERNAL waves; MOMENTUM distributions; WAVE functions; MOMENTUM wave function; HAMILTONIAN operator
- Publication
Natural Hazards, 2011, Vol 57, Issue 3, p609
- ISSN
0921-030X
- Publication type
Article
- DOI
10.1007/s11069-011-9737-4