PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Czasopismo
2013 | 11 | 11 | 1605-1615
Tytuł artykułu

Collision of water wave solitons

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
A classification of the time evolution of the two-soliton solutions of the Boussinesq equation is given, based on the number of extrema of the wave. For solitons moving in the same directions, three different scenarios are found, while it is shown that only one of these scenarios exists in case of oppositely moving solitons.
Wydawca
Czasopismo
Rocznik
Tom
11
Numer
11
Strony
1605-1615
Opis fizyczny
Daty
wydano
2013-11-01
online
2013-12-10
Twórcy
  • Institute of Physics, Loránd Eötvös University, Pázmány Péter sétány 1/A, H-1117, Budapest, Hungary , nor.fenyvesi@gmail.com
autor
  • Institute of Physics, Loránd Eötvös University, Pázmány Péter sétány 1/A, H-1117, Budapest, Hungary , bene@arpad.elte.hu
Bibliografia
  • [1] G. F. Carrier, H. P. Greespan J. Fluid Mech. 4, 97 (1958) http://dx.doi.org/10.1017/S0022112058000331[Crossref]
  • [2] G. F. Carrier, T. T. Wu, H. Yeh, J. Fluid Mech. 475, 79 (2003)
  • [3] H. Bredmose et. al., J. Fluid Mech. 490, 217 (2003) http://dx.doi.org/10.1017/S0022112003005238[Crossref]
  • [4] K. G. Lamb, J. Fluid Mech. 451, 109 (2002)
  • [5] K. G. Lamb, J. Fluid Mech. 478, 81 (2003)
  • [6] A. R. Champneys, J.-M. Vanden-Droeck, G. J. Lord, J. Fluid Mech. 454, 403 (2002) http://dx.doi.org/10.1017/S0022112001007200[Crossref]
  • [7] J. K. Sveen, Y. Guo, P. A. Davies, J. Grue, J. Fluid Mech. 69, 161 (2002)
  • [8] Y. Li, F. Raichlen, J. Fluid Mech. 456, 295 (2002)
  • [9] D. Zhang, A. T. Chwang, J. Fluid Mech. 389, 119 (1999) http://dx.doi.org/10.1017/S0022112099004826[Crossref]
  • [10] D. Zhang, A. T. Chwang, J. Fluid Mech. 432, 341 (2001)
  • [11] R. S. Johnson, J. Fluid Mech. 455, 63 (2002)
  • [12] J. Zhou, L. Tian, arXiv:0908.0921v1 [WoS]
  • [13] N. Sugimoto, M. Masuda, K. Yamashita, H. Horimoto, J. Fluid Mech. 504, 271 (2004) http://dx.doi.org/10.1017/S0022112004008109[Crossref]
  • [14] F. Dias, J.-M. Vanden-Broeck, J. Fluid Mech. 509, 93 (2004) http://dx.doi.org/10.1017/S0022112004009127[Crossref]
  • [15] J. B. Keller, J. Fluid Mech. 489, 345 (2003) http://dx.doi.org/10.1017/S0022112003005342[Crossref]
  • [16] A. Jensen, G. K. Pedersen, D. J. Wood, J. Fluid Mech. 486, 161 (2003) http://dx.doi.org/10.1017/S0022112003004543[Crossref]
  • [17] L.-F. L. Philip, K. Al-Banaa, J. Fluid Mech. 505, 225 (2004) http://dx.doi.org/10.1017/S0022112004008547[Crossref]
  • [18] A. G. Voronovich, J. Fluid Mech. 474, 85 (2003)
  • [19] P. G. Drazin, R. S. Johnson, Solitons: An Introduction (Cambridge University Press, Cambridge, 2002)
  • [20] N. J. Zabusky, M. D. Kruskal, Phys. Rev. Lett. 15, 240 (1965) http://dx.doi.org/10.1103/PhysRevLett.15.240[Crossref]
  • [21] C. S. Gardner, J. M. Greene, M. D. Kruskal, R. M. Miura, Phys. Rev. Lett. 19, 1095 (1967) http://dx.doi.org/10.1103/PhysRevLett.19.1095[Crossref]
  • [22] P. D. Lax, Comm. Pure Appl. Math. 21, 467 (1968) http://dx.doi.org/10.1002/cpa.3160210503[Crossref]
  • [23] M. J. Ablowitz, H. Segur, Stud. Appl. Math. 57, 13 (1977)
  • [24] M. J. Ablowitz, P. A. Clarkson, London Math. Soc. Lecture Note Series 149 (1991)
  • [25] S. P. Novikov, S. V. Manakov, L. P. Pitaevskii, V. E. Zakharov, Theory of Solitons, The Inverse Scattering Method (Plenum, New York, 1984)
  • [26] M. J. Ablowitz, H. Segur, App. Math. SIAM Philadelphia 4 (1981)
  • [27] L. Wu, J.-F. Zhang, L. Li, New J. Phys. 9, 69 (2007) http://dx.doi.org/10.1088/1367-2630/9/3/069[Crossref]
  • [28] S. Mahmood, A. Mushtaq, H. Saleem, New J. Phys. 5, 28 (2003) http://dx.doi.org/10.1088/1367-2630/5/1/328[Crossref]
  • [29] J. S. Russell, Report on Waves, Report of the 14th meeting of the British Association for the Advancement of Science 311 (1845)
  • [30] J. Boussinesq, CR ACAD Sci 72, 755 (1871)
  • [31] Lord Rayleigh, Phil. Mag. 1, 257 (1876) http://dx.doi.org/10.1080/14786447608639037[Crossref]
  • [32] J. Boussinesq, J Math. Pure. Appl. 17, 55 (1872)
  • [33] J. Boussinesq, Memoires presentes par divers savants ‘l’Acad. des Sci. Inst. Nat. France XXIII, 1 (1877)
  • [34] D. J. Korteweg, G. de Vries, Phil. Mag. 39, 422 (1895) http://dx.doi.org/10.1080/14786449508620739[Crossref]
  • [35] A. Biswas, D. Milovic, A. Ranasinghe, Commun. Nonlinear Sci. Num. Simul. 14, 3738 (2009) http://dx.doi.org/10.1016/j.cnsns.2009.02.021[Crossref]
  • [36] G. Ebadi, S. Johnson, E. Zerrad, A. Biswas, J. King Saud Univ. - Sci. 24, 237 (2012) http://dx.doi.org/10.1016/j.jksus.2011.05.001[Crossref]
  • [37] E. V. Krishnan, S. Kumar, A. Biswas, Nonlinear Dynam. 70, 1213 (2012) http://dx.doi.org/10.1007/s11071-012-0525-9[Crossref]
  • [38] A. J. M. Jawad, M. D. Petkovic, P. Laketa, A. Biswas, Scientia Iranica: T. B Mech. Eng. 20, 179 (2013)
  • [39] J. Gear, R. Grimshaw, Stud. Appl. Math. 70, 235 (1984)
  • [40] R. Grimshaw, B. A. Malomed, J. Phys. A: Maths. Gen. 26, 4087 (1993) http://dx.doi.org/10.1088/0305-4470/26/16/024[Crossref]
  • [41] Z. Lu, E.M. Tian, R. Grimshaw, Wave Motion 40, 95 (2004) http://dx.doi.org/10.1016/j.wavemoti.2003.12.017[Crossref]
  • [42] L. Ilison, A. Salupere, Res. Rep. Mech. 291/08 (CENS, Institute of Cybernetics at Tallinn University of Technology, Tallinn, Estonia, 2008)
  • [43] T. Yoneyama, Prog. Theor. Phys. 71, 843 (1984) http://dx.doi.org/10.1143/PTP.71.843[Crossref]
  • [44] A. Salupere, J. Engelbrecht, P. Peterson, Math. Comput. Simul. 62, 137 (2003) http://dx.doi.org/10.1016/S0378-4754(02)00178-7[Crossref]
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.-psjd-doi-10_2478_s11534-013-0309-y
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.