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On hierarchies of equations for the Benjamin-Ono equation

✍ Scribed by Y. Cheng


Publisher
Elsevier Science
Year
1988
Tongue
English
Weight
210 KB
Volume
127
Category
Article
ISSN
0375-9601

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The Peierls–Nabarro and Benjamin–Ono Equ
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An intimate connection between the Peierls Nabarro equation in crystal-dislocation theory and the travelling-wave form of the Benjamin Ono equation in hydrodynamics is uncovered. It is used to prove the essential uniqueness of Peierls' solution of the Peierls Nabarro equation and to give, in closed