Oblique interaction of solitons in an extended Kadomtsev-Petviashvili equation

Journal of the Physical Society of Japan

Volumn 76, Issue 8, 2007, Pages

  Tsuji, Hidekazu ^a   Oikawa, Masayuki ^a  

^a KYUSHU UNIVERSITY   (Japan)

Author keywords

Extended Kadomtsev Petviashvili equation; Mach reflection; Nonlinear wave propagation; Oblique interaction; Soliton; Soliton resonance

Indexed keywords

EID: 34547907425     PISSN: 00319015     EISSN: 13474073     Source Type: Journal    
DOI: 10.1143/JPSJ.76.084401     Document Type: Article

References (21)

1. B. B. Kadomtsev and V. I. Petviashvili: Sov. Phys. Dokl. 15 (1970) 539.
2. J. Satsuma: J. Phys. Soc. Jpn. 40 (1976) 286.
3. J. W. Miles: J. Fluid Mech. 79 (1977) 171.
4. M. Funakoshi: J. Phys. Soc. Jpn. 49 (1980) 2371.
5. F. Kako and N. Yajima: J. Phys. Soc. Jpn. 49 (1980) 2063.
6. H. Tsuji and M. Oikawa: Fluid Dyn. Res. 29 (2001) 251.
7. H. Tsuji and M. Oikawa: J. Phys. Soc. Jpn. 73 (2004) 3034.
8. Y. Matsuno: J. Phys. A 12 (1979) 619.
9. Y. Matsuno: Bilinear Transformation Method (Academic Press, Orland, FL, 1984).
10. M. Wadati: J. Phys. Soc. Jpn. 32 (1972) 1681.
11. M. Wadati: J. Phys. Soc. Jpn. 34 (1973) 1289.
12. M. Oikawa and H. Tsuji: Fluid Dyn. Res. 38 (2006) 868.
13. T. L. Perelman, A. Kh. Fridman, and M. M. El'yashevich: Sov. Phys. JETP 39 (1974) 643.
14. T. L. Perelman, A. Kh. Fridman, and M. M. El'yashevich: Phys. Lett. A 47 (1974) 321.
15. T. Kakutani and N. Yamasaki: J. Phys. Soc. Jpn. 45 (1978) 674.
16. J. W. Miles: Tellus 31 (1979) 456.
17. Y. Chen and P. L.-F. Liu: Wave Motion 27 (1998) 321.
18. J. Weiss, M. Tabor, and G. Carnevale: J. Math. Phys. 24 (1983) 522.
19. H. Tsuji and M. Oikawa: J. Phys. Soc. Jpn. 62 (1993) 3881.
20. S. B. Wineberg, J. F. McGrath, E. F. Gabl, L. Ridgway Scott, and C. E. Southwell: J. Comput. Phys. 97 (1991) 311.
21. M. Tanaka: J. Fluid Mech. 248 (1993) 637.