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A nonlinear multiple scales approach to modelling almost third harmonic interfaces

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Abstract.

The evolution of third harmonic resonant narrow bandwidth capillary–gravity waves on an interface of two fluids is considered. The method of multiple scales is utilised in order to derive a set of first order coupled nonlinear partial differential equations which model the evolution of the wavepacket. Some solution families are exhibited.

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Authors and Affiliations

  1. Department of Pure Mathematics, The Queen's University, Belfast BT7 1NN, U.K. e-mail: m.jones@qub.ac.uk, , , , , , UK

    M. C. W. Jones

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  1. M. C. W. Jones
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Received: August 23, 1997; revised: January 9, 1998

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Jones, M. A nonlinear multiple scales approach to modelling almost third harmonic interfaces. Z. angew. Math. Phys. 50, 47–63 (1999). https://doi.org/10.1007/s000330050138

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  • DOI: https://doi.org/10.1007/s000330050138

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