A Note on the Stability and Instability of Travelling Wave of Korteweg-de Vries Type: The Periodic Case
KdV type models periodic travelling waves orbital stability/instability. MSC (2000) 35Q53 35B35 76B30.
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In this paper we adapt the work of M. Grillakis, J. Shatah, and W. Strauss, or J. Bona, P. Souganidis and W. Strauss to the periodic case in spaces having the mean zero property in order to establish the orbital stability/instability of periodic travelling wave solutions of a generalized Korteweg-de Vries type equation.
Quintero, J. R. (2010). A Note on the Stability and Instability of Travelling Wave of Korteweg-de Vries Type: The Periodic Case. Revista De Ciencias, 14, 57–72. https://doi.org/10.25100/rc.v14i0.654
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