Soliton solutions to coupled nonlinear evolution equations modelling a third harmonic resonance in the theory of capillary-gravity waves
- Submitting institution
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Kingston University
- Unit of assessment
- 11 - Computer Science and Informatics
- Output identifier
- 11-26-1358
- Type
- D - Journal article
- DOI
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10.1016/j.apm.2015.09.017
- Title of journal
- Applied Mathematical Modelling
- Article number
- -
- First page
- 2134
- Volume
- 40
- Issue
- -
- ISSN
- 0307-904X
- Open access status
- Out of scope for open access requirements
- Month of publication
- -
- Year of publication
- 2016
- URL
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- Supplementary information
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- Request cross-referral to
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- Output has been delayed by COVID-19
- No
- COVID-19 affected output statement
- -
- Forensic science
- No
- Criminology
- No
- Interdisciplinary
- No
- Number of additional authors
-
-
- Research group(s)
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- Citation count
- 2
- Proposed double-weighted
- No
- Reserve for an output with double weighting
- No
- Additional information
- This paper constructs an explicit soliton type solution to the evolution equations which model the interfacial capillary gravity waves arising from an interaction between the fundamental mode and its third harmonic. This is a significant result because explicit solutions are extremely rare and this is an important case because it is one which is likely to occur in nature or to be reproducible in the laboratory. This result is therefore of interest to experimenters in fluid mechanics and to oceanographers, as well as to those working in the general theory of partial differential equations.
- Author contribution statement
- -
- Non-English
- No
- English abstract
- -