Title of article
Non-existence and existence of localized solitary waves for the two-dimensional long-wave–short-wave interaction equations
Author/Authors
Borluk، نويسنده , , H. and Erbay، نويسنده , , H.A. and Erbay، نويسنده , , S.، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2010
Pages
5
From page
356
To page
360
Abstract
In this study, we establish the non-existence and existence results for the localized solitary waves of the two-dimensional long-wave–short-wave interaction equations. Both the non-existence and existence results are based on Pohozaev-type identities. We prove the existence of solitary waves by showing that the solitary waves are the minimizers of an associated variational problem.
Keywords
Long-wave–short-wave interaction equations , Existence of solitary waves , Non-existence of solitary waves
Journal title
Applied Mathematics Letters
Serial Year
2010
Journal title
Applied Mathematics Letters
Record number
1526688
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