Two-dimensional solitary waves for a Benney-Luke equation

Physica D: Nonlinear Phenomena

Volumn 132, Issue 4, 1999, Pages 476-496

  Pego, Robert L ^a   Quintero, José Raúl ^a  

^a University of Maryland   (United States)

Author keywords

68.10; Concentration compactness; Traveling waves; Weakly nonlinear waves

Indexed keywords

EID: 0001108712     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-2789(99)00058-5     Document Type: Article

References (8)

1. Benney D.J., Luke J.C. Interactions of permanent waves of finite amplitude. J. Math. Phys. 43:1964;309-313.
2. Milewski P.A., Keller J.B. Three dimensional water waves. Studies Appl. Math. 37:1996;149-166.
3. de Bouard A., Saut J.C. Solitary waves of generalized Kadomtsev-Petviashvili equations. CR Acad. Sci. Paris Sér I Math. 320(3):1995;315-318.
4. de Bouard A., Saut J.C. Solitary waves of generalized Kadomtsev-Petviashvili equations. Ann. Inst. H. Poincaré Anal. Non Linéaire. 14(2):1997;211-236.
5. Kadomtsev B.B., Petviashvili V.I On the stability of solitary waves in weakly dispersing media. Soviet Phys. Dokl. 15:1970;539-541.
6. Zakharov V.E. Stability of periodic waves of finite amplitude on the surface of a deep fluid. Philos. Mag. Ser. 9(2):1968;190-194.
7. M.J. Boussinesq, Essai sur la théorie des eaux courantes, Mémoires présentés par divers savants á l'Académie des Sciences Inst. France (séries 2) 23 (1877) 1-680.
8. M. Struwe, Variational Methods: Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems, Springer, Berlin, 1990.