A variational approach to surface solitary waves (Q1063472)
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scientific article; zbMATH DE number 3917920
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A variational approach to surface solitary waves |
scientific article; zbMATH DE number 3917920 |
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A variational approach to surface solitary waves (English)
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1984
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This paper makes rigorous use of a variational procedure to obtain periodic and solitary surface waves in a fluid with a non-diffusive variable density which may be discontinuous. The principle used is Lagrangian in character and reduces to a constrained variational problem. In addition to obtaining a single crested wave moving in a fluid which is at rest far from the crest, periodic solutions are also found in the horizontal direction which decay exponentially from crest to trough.
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periodic and solitary surface waves
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non-diffusive variable density
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constrained variational problem
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single crested wave
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