Critical points, Lauricella functions and Whitham-type equations Article Swipe
Yuji Kodama
,
B. G. Konopelchenko
,
W. K. Schief
·
YOU?
·
· 2015
· Open Access
·
· DOI: https://doi.org/10.1088/1751-8113/48/22/225202
YOU?
·
· 2015
· Open Access
·
· DOI: https://doi.org/10.1088/1751-8113/48/22/225202
A large class of semi-Hamiltonian systems of hydrodynamic type is interpreted\nas the equations governing families of critical points of functions obeying the\nclassical linear Darboux equations for conjugate nets.The distinguished role of\nthe Euler-Poisson-Darboux equations and associated Lauricella-type functions is\nemphasised. In particular, it is shown that the classical g-phase Whitham\nequations for the KdV and NLS equations are obtained via a g-fold iterated\nDarboux-type transformation generated by appropriate Lauricella functions.\n
Related Topics
Concepts
Euler equations
Korteweg–de Vries equation
Mathematics
Type (biology)
Iterated function
Euler's formula
Hamiltonian system
Hamiltonian (control theory)
Conjugate
Class (philosophy)
Mathematical analysis
Pure mathematics
Mathematical physics
Nonlinear system
Physics
Computer science
Mathematical optimization
Quantum mechanics
Biology
Artificial intelligence
Ecology
Metadata
- Type
- article
- Language
- en
- Landing Page
- http://doi.org/10.1088/1751-8113/48/22/225202
- OA Status
- green
- Cited By
- 4
- References
- 46
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W2207096139
All OpenAlex metadata
Raw OpenAlex JSON
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https://openalex.org/W2207096139Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.1088/1751-8113/48/22/225202Digital Object Identifier
- Title
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Critical points, Lauricella functions and Whitham-type equationsWork title
- Type
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articleOpenAlex work type
- Language
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enPrimary language
- Publication year
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2015Year of publication
- Publication date
-
2015-05-11Full publication date if available
- Authors
-
Yuji Kodama, B. G. Konopelchenko, W. K. SchiefList of authors in order
- Landing page
-
https://doi.org/10.1088/1751-8113/48/22/225202Publisher landing page
- Open access
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YesWhether a free full text is available
- OA status
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greenOpen access status per OpenAlex
- OA URL
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https://arxiv.org/pdf/1411.5856Direct OA link when available
- Concepts
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Euler equations, Korteweg–de Vries equation, Mathematics, Type (biology), Iterated function, Euler's formula, Hamiltonian system, Hamiltonian (control theory), Conjugate, Class (philosophy), Mathematical analysis, Pure mathematics, Mathematical physics, Nonlinear system, Physics, Computer science, Mathematical optimization, Quantum mechanics, Biology, Artificial intelligence, EcologyTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
4Total citation count in OpenAlex
- Citations by year (recent)
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2019: 1, 2017: 1, 2016: 2Per-year citation counts (last 5 years)
- References (count)
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46Number of works referenced by this work
- Related works (count)
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10Other works algorithmically related by OpenAlex
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