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pro vyhledávání: '"Ehrman, Brett"'
We study the spectral stability of smooth, small-amplitude periodic traveling wave solutions of the Novikov equation, which is a Camassa-Holm type equation with cubic nonlinearities. Specifically, we investigate the $L^2(\mathbb{R})$-spectrum of the
Externí odkaz:
http://arxiv.org/abs/2409.13969
We study the orbital stability of smooth solitary wave solutions of the Novikov equation, which is a Camassa-Holm type equation with cubic nonlinearities. These solitary waves are shown to exist as a one-parameter family (up to spatial translations)
Externí odkaz:
http://arxiv.org/abs/2403.10685
Autor:
Ehrman, Brett, Johnson, Mathew A.
In this paper, we identify criteria that guarantees the nonlinear orbital stability of a given periodic traveling wave solution within the b-family Camassa-Holm equation. These periodic waves exist as 3-parameter families (up to spatial translations)
Externí odkaz:
http://arxiv.org/abs/2309.17289
Autor:
Ehrman, Brett, Johnson, Mathew A.
Publikováno v:
In Physica D: Nonlinear Phenomena May 2024 461
