Abstract
In this paper, we give a comprehensive account of several recent results on the stability of nontrivial soliton structures for some well-known non periodic dispersive models. We will focus on the simpler case of the generalized Korteweg-de Vries equations, covering the classical stability results by Bona, Souganidis, and Strauss until the results by Martel and Merle and our recent collaborations with Miguel Alejo and Luis Vega.
Citation
Claudio Muñoz. "Stability of integrable and nonintegrable structures." Adv. Differential Equations 19 (9/10) 947 - 996, September/October 2014. https://doi.org/10.57262/ade/1404230129
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