Travelling waves of the KP equations with transverse modulations;Ondes progressives à modulations transverses des équations de Kadomtsev-Petviashvili

Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

Volumn 328, Issue 3, 1999, Pages 227-232

  Harǎguş Courcelle, Mariana ^a   Pego, Robert L ^b  

^a UNIVERSITY OF STUTTGART   (Germany)

^b UNIVERSITY OF MARYLAND   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033074848     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0764-4442(99)80126-8     Document Type: Article

References (6)

1. [1] Akylas T.R., Three-dimensional long water-wave phenomena, Annu. Rev. Fluid Mech. 26 (1994) 191-210.
2. [2] Bona J.L., Sachs R.L., Global existence of smooth solutions and stability of solitary waves for a generalized Boussinesq equation. Commun. Math. Phys. 118 (1988) 15-29.
3. [3] Hǎrǎguş-Courcelle M., Pego R.L., Spatial wave dynamics of steady oblique wave interactions, (in preparation).
4. [4] Liu Y., Instability and blow-up of solutions to a generalized Boussinesq equation, SIAM J. Math. Anal. 26 (1995) 1527-1546.
5. [5] Tajiri M., Murakami Y., The periodic solution resonance: solutions of the Kadomtsev-Petviashvili equation with positive dispersion, Phys. Lett. A 143 (1990) 217-220.
6. [6] Vanderbauwhede A., Local bifurcation and symmetry, Pitman Res. Notes Math. Ser. 75, 1982.