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Solitary wave solutions and global well-posedness for a coupled system of gKdV equations.
- Source :
- Journal of Evolution Equations; Jun2021, Vol. 21 Issue 2, p2167-2193, 27p
- Publication Year :
- 2021
-
Abstract
- In this work, we consider the initial-value problem associated with a coupled system of generalized Korteweg–de Vries equations. We present a relationship between the best constant for a Gagliardo–Nirenberg type inequality and a criterion for the existence of global solutions in the energy space. We prove that such a constant is directly related to the existence problem of solitary wave solutions with minimal mass, the so-called ground state solutions. A characterization of the ground states and the orbital instability of the solitary waves are also established. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 14243199
- Volume :
- 21
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- Journal of Evolution Equations
- Publication Type :
- Academic Journal
- Accession number :
- 151125888
- Full Text :
- https://doi.org/10.1007/s00028-021-00676-4