Radiation by weakly nonlinear shallow-water solitons due to higher-order dispersion

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 58, Issue 4, 1998, Pages 5070-5080

  Karpman, V I ^a  

^a HEBREW UNIVERSITY OF JERUSALEM   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

DAMPING; DISPERSION (WAVES); MATHEMATICAL TRANSFORMATIONS; NONLINEAR EQUATIONS; PERTURBATION TECHNIQUES; RADIATION; VELOCITY; WATER WAVES;

NONLINEAR SHALLOW WATER SOLITONS; SOLITON DAMPING; SOLITON RESONANT RADIATION;

SOLITONS;

EID: 0032184637     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.58.5070     Document Type: Article

References (40)

1. T. Taniuti, Prog. Theor. Phys. Suppl. 55, 1 (1974); PTPSAL
2. Y. Kodama and T. Taniuti, J. Phys. Soc. Jpn. 45, 298 (1978).
3. G. B. Whitham, Linear and Nonlinear Waves (Wiley, New York, 1974).
4. V. I. Karpman, Nonlinear Waves in Dispersive Media (Pergamon, Oxford, 1975).
5. R. A. Kraenkel, M. A. Manna, and J. G. Pereira, J. Math. Phys. 36, 307 (1995).
6. A. Degasperis, S. V. Manakov, and P. M. Santini, Physica D 100, 187 (1997), see also references therein.
7. T. Kawahara, J. Phys. Soc. Jpn. 33, 360 (1972); JUPSAU
8. K. A. Gorshkov and L. A. Ostrovsky, Physica D 3, 424 (1981); PDNPDT
9. K. Nozaki, J. Phys. Soc. Jpn. 56, 3052 (1987).
10. J. K. Hunter and J.-M. Vanden-Broeck, J. Fluid Mech. 134, 205 (1983).
11. Y. Pomeau, A. Ramani, and B. Grammaticos, Physica D 31, 127 (1988).
12. J. K. Hunter and J. Scherule, Physica D 32, 253 (1988); PDNPDT
13. J. P. Boyd, Physica D 48, 129 (1991).
14. V. I. Karpman, Phys. Rev. E 47, 2073 (1993).
15. E. S. Benilov, R. Grimshaw, and E. P. Kuznetsova, Physica D 69, 270 (1993); PDNPDT
16. R. Grimshau and N. Joshi, SIAM (Soc. Ind. Appl. Math.) J. Appl. Math. 55, 124 (1995).
17. H. Segur and M. D. Kruskal, Phys. Rev. Lett. 58, 747 (1987).
18. P. K. A. Way, C. R. Menyuk, Y. C. Lee, and H. H. Chen, Opt. Lett. 11, 464 (1986); OPLEDP
19. P. K. A. Wai, H. H. Chen, and Y. C. Lee, Phys. Rev. A 41, 426 (1990); PLRAAN
20. H. H. Kuehl and C. Y. Zhang, Phys. Fluids B 2, 889 (1990).
21. V. I. Karpman, Phys. Lett. A 160, 531 (1991); PYLAAG
22. V. I. Karpman and A. G. Shagalov, Phys. Lett. A 160, 540 (1991).
23. V. I. Karpman, Phys. Lett. A 181, 211 (1993).
24. V. I. Karpman, Phys. Lett. A 193, 355 (1994); PYLAAG
25. V. I. Phys. Lett. A Karpman198, 469(E) (1995);
26. V. I. Karpman, Phys. Lett. A 244, 397 (1998).
27. V. I. Karpman, Phys. Rev. Lett. 74, 2455 (1995).
28. V. I. Karpman and A. G. Shagalov, Phys. Rev. A 46, 518 (1992); PLRAAN
29. V. I. Karpman, R. N. Kaufman, and A. G. Shagalov, Phys. Fluids B 4, 3087 (1992).
30. V. I. Karpman and H. Schamel, Phys. Plasmas 4, 120 (1997); PHPAEN
31. V. I. KarpmanH. Phys. Plasmas Schamel4, 2778(E) (1997).
32. V. I. Karpman, Phys. Plasmas 5, 156 (1998).
33. V. I. Karpman, Phys. Plasmas 5, 932 (1998).
34. D. H. Peregrine, J. Fluid Mech. 25, 321 (1966); JFLSA7
35. T. Benjamin, J. Bona, and J. Maloney, Philos. Trans. R. Soc. London, Ser. A 272, 47 (1972).
36. R. I. Joseph, J. Phys. A 10, 225 (1977); JPHAC5
37. T. Kubota, D. R. S. Ko, and L. D. Dobbs, J. Hydronautics12, 157 (1978).
38. V. I. Karpman, in Quantum-Like Models and Coherent Effects, edited by R. Fedele and P. K. Shukla (World Scientific, Singapore, 1995), p. 392.
39. T.-S. Yang and T. R. Akylas, Physica D 82, 418 (1995).
40. V. I. Karpman, Phys. Lett. A 244, 394 (1998). PYLAAG