Instability of solitary waves of two-dimensional Benjamin equation

Author:

Esfahani AminORCID

Funder

Nazarbayev University

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference16 articles.

1. Ablowitz, M.J., Segur, H.: Long internal waves in fluids of great depth. Stud. Appl. Maths. 62, 249–262 (1980)

2. Albert, J.P., Bona, J.L., Restrepo, J.M.: Solitary waves solutions of the Benjamin equation. SIAM J. Appl. Math. 59, 2139–2161 (1999)

3. Besov, O.V., Il’in, V.P., Nikolskii, S.M.: Integral representations of functions and imbedding theorems, I. Wiley, New York (1978)

4. Chen, J., Guo, B., Han, Y.: Blow up and instability of solitary wave solutions to a generalized Kadomtsev–Petviashvili equation and two-dimensional Benjamin–Ono equations. Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci. 464, 49–64 (2008)

5. de Bouard, A., Saut, J.-C.: Solitary waves of generalized Kadomtsev–Petviashvili equations. Ann. Inst. H. Poincaré Anal. Non Linéaire 14, 211–236 (1997)

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