Conservation laws and invariants of motion for nonlinear internal waves: part II
| Autor: | Brian Morse, William E. Schiesser, Bernard Halphen, S. Hamdi |
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| Rok vydání: | 2011 |
| Předmět: |
Atmospheric Science
Conservation law Analytical expressions Mathematical analysis Internal wave Nonlinear internal waves Conserved quantity symbols.namesake Classical mechanics Earth and Planetary Sciences (miscellaneous) symbols Hamiltonian (quantum mechanics) Korteweg–de Vries equation Gardner's relation Water Science and Technology Mathematics |
| Zdroj: | Natural Hazards. 57:609-616 |
| ISSN: | 1573-0840 0921-030X |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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