University of Surrey

Test tubes in the lab Research in the ATI Dance Research

Phase dynamics of periodic wavetrains leading to the 5th order KP equation

Ratliff, Daniel (2017) Phase dynamics of periodic wavetrains leading to the 5th order KP equation Physica D: Nonlinear Phenomena, 353. pp. 11-19.

Phase Dynamics of Periodic Wavetrains Leading to the 5th Order KP Equation.pdf - Accepted version Manuscript

Download (185kB) | Preview


Using the previous approach outlined in [12, 10], 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 qXXXY 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 Schr¨odinger model relevant in plasma physics, demonstrating how the coefficients in this model are determined via elementary calculations.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
Date : 1 September 2017
DOI : 10.1016/j.physd.2017.05.004
Copyright Disclaimer : © 2017 Elsevier B.V. All rights reserved.
Uncontrolled Keywords : Lagrangian dynamics; Nonlinear waves; Whitham modulation
Depositing User : Clive Harris
Date Deposited : 30 Aug 2017 07:43
Last Modified : 13 May 2019 02:08

Actions (login required)

View Item View Item


Downloads per month over past year

Information about this web site

© The University of Surrey, Guildford, Surrey, GU2 7XH, United Kingdom.
+44 (0)1483 300800