Phase dynamics of periodic wavetrains leading to the 5th order KP equation
| Autor: | Daniel J. Ratliff |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
G100
Conservation law Gravitational wave Mathematical analysis Statistical and Nonlinear Physics Context (language use) Condensed Matter Physics Kadomtsev–Petviashvili equation 01 natural sciences 010305 fluids & plasmas Schrödinger equation Nonlinear system symbols.namesake Chain (algebraic topology) 0103 physical sciences symbols Order (group theory) 010306 general physics Mathematics |
| Zdroj: | Physica D: Nonlinear Phenomena. :11-19 |
| ISSN: | 0167-2789 |
| Popis: | Using the previous approach outlined in Ratliff and Bridges (2016, 2015), a novel method is presented to derive the fifth order Kadomtsev–Petviashvili(KP) equation from periodic wavetrains. As a result, the coefficients and criterion for the fifth order KP to emerge take a universal form that can be determined a-priori, relating to the system’s conservation laws and the termination of a Jordan chain. Moreover, the analysis reveals that generically a mixed dispersive term q X X X Y appears within the final phase equation. The theory presented here is complimented by an example from the context of flexural gravity waves in shallow water and a higher order Nonlinear Schrodinger model relevant in plasma physics, demonstrating how the coefficients in this model are determined via elementary calculations. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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