Center Stable Manifolds Around Line Solitary Waves of the Zakharov–Kuznetsov Equation

Author:

Yamazaki YoheiORCID

Funder

Japan Society for the promotion of science

Publisher

Springer Science and Business Media LLC

Subject

Analysis

Reference46 articles.

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2. Bates, P.W., Jones, C.K.R.T.: Invariant manifolds for semilinear partial differential equations. In: Kirchgraber, U., Walther, H.O. (eds.) Dynamics Reported. A Series in Dynamical Systems and Their Application, vol. 2, pp. 1–38. Wiley, Chichester (1989)

3. Beceanu, M.: A critical center-stable manifold for Schrödinger’s equation in three dimensions. Commun. Pure Appl. Math. 65, 431–507 (2012)

4. Beceanu, M.: A center-stable manifold for the energy-critical wave equation in $$\mathbb{R} ^3$$ in the symmetric setting. J. Hyperbolic Differ. Equ. 11, 437–476 (2014)

5. Benjamin, T.B.: The stability of solitary waves. Proc. R. Soc. (Lond.) Ser. A 328, 153–183 (1972)

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