Czasopismo
Tytuł artykułu
Autorzy
Warianty tytułu
Języki publikacji
Abstrakty
The integrability of coupled KdV equations is examined. The simplified form of Hirota’s bilinear method is used to achieve this goal. Multiple-soliton solutions and multiple singular soliton solutions are formally derived for each coupled KdV equation. The resonance phenomenon of each model will be examined.
Czasopismo
Rocznik
Tom
Numer
Strony
835-840
Opis fizyczny
Daty
wydano
2011-06-01
online
2011-02-26
Twórcy
autor
- Department of Mathematics, Saint Xavier University, Chicago, IL, 60655, USA, wazwaz@sxu.edu
Bibliografia
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- [2] C.-X. Li, J. Phys. Soc. Jpn. 73, 327 (2004) http://dx.doi.org/10.1143/JPSJ.73.327[Crossref]
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- [4] M. Ito, J. Phys. Soc. Jpn. 49, 771 (1980) http://dx.doi.org/10.1143/JPSJ.49.771[Crossref]
- [5] R. Hirota, The Direct Method in Soliton Theory (Cambridge University Press, Cambridge, 2004) http://dx.doi.org/10.1017/CBO9780511543043[Crossref]
- [6] R. Hirota, Phys. Rev. Lett. 27, 1192 (1971) http://dx.doi.org/10.1103/PhysRevLett.27.1192[Crossref]
- [7] J. Hietarinta, J. Math. Phys. 28, 1732 (1987) http://dx.doi.org/10.1063/1.527815[Crossref]
- [8] J. Hietarinta, J. Math. Phys. 28, 2094 (1987) http://dx.doi.org/10.1063/1.527421[Crossref]
- [9] W. Hereman, A. Nuseir, Math. Comput. Simulat. 43, 13 (1997) http://dx.doi.org/10.1016/S0378-4754(96)00053-5[Crossref]
- [10] A. Biswas, Phys. Lett. A 372, 4061 (2008)
- [11] A. Biswas, Commun. Nonlinear Sci. 14, 2524 (2009) http://dx.doi.org/10.1016/j.cnsns.2008.09.023[Crossref]
- [12] M. Dehghan, A. Shokri, Math. Comput. Simulat. 79, 700 (2008) http://dx.doi.org/10.1016/j.matcom.2008.04.018[Crossref]
- [13] A.M. Wazwaz, Commun. Nonlinear Sci. 14, 2962 (2009) http://dx.doi.org/10.1016/j.cnsns.2008.12.018[Crossref]
- [14] A.M. Wazwaz, Phys. Lett. A 373, 2927 (2009) http://dx.doi.org/10.1016/j.physleta.2009.06.026[Crossref]
- [15] A.M. Wazwaz, Partial Differential Equations and Solitary Waves Theory (HEP and Springer, Peking and Berlin, 2009) http://dx.doi.org/10.1007/978-3-642-00251-9[Crossref]
- [16] A.M. Wazwaz, Appl. Math. Comput. 190, 633 (2007) http://dx.doi.org/10.1016/j.amc.2007.01.056[Crossref]
- [17] A.M. Wazwaz, Appl. Math. Comput. 190, 1198 (2007) http://dx.doi.org/10.1016/j.amc.2007.02.003[Crossref]
- [18] A.M. Wazwaz, Commun. Nonlinear Sci. 12, 1395 (2007) http://dx.doi.org/10.1016/j.cnsns.2005.11.007[Crossref]
- [19] A.M. Wazwaz, Appl. Math. Comput. 192, 479 (2007) http://dx.doi.org/10.1016/j.amc.2007.03.023[Crossref]
- [20] A.M. Wazwaz, Appl. Math. Comput. 199, 133 (2008) http://dx.doi.org/10.1016/j.amc.2007.09.034[Crossref]
- [21] A.M. Wazwaz, Appl. Math. Comput. 200, 437 (2008) http://dx.doi.org/10.1016/j.amc.2007.11.032[Crossref]
- [22] A.M. Wazwaz, Appl. Math. Comput. 201, 168 (2008) http://dx.doi.org/10.1016/j.amc.2007.12.009[Crossref]
- [23] A.M. Wazwaz, Appl. Math. Comput. 201, 489 (2008) http://dx.doi.org/10.1016/j.amc.2007.12.037[Crossref]
- [24] A.M. Wazwaz, Appl. Math. Comput. 201, 790 (2008) http://dx.doi.org/10.1016/j.amc.2008.01.017[Crossref]
- [25] A.M. Wazwaz, Appl. Math. Comput. 202, 275 (2008) http://dx.doi.org/10.1016/j.amc.2008.02.013[Crossref]
- [26] A.M. Wazwaz, Nonlinear Science Letters A 1, 289 (2010)
- [27] K.W. Chow, L.P. Yip, D. Gurarie, Int. J. Nonlin. Sci. Num. 10, 935 (2009) http://dx.doi.org/10.1515/IJNSNS.2009.10.7.935[Crossref]
- [28] C. Rogers, L.P. Yip, K.W. Chow, Int. J. Nonlin. Sci. Num. 10, 397 (2009) http://dx.doi.org/10.1515/IJNSNS.2009.10.3.397[Crossref]
- [29] H.M. Fu, Z.D. Dai, Int. J. Nonlin. Sci. Num. 10, 927 (2009) http://dx.doi.org/10.1515/IJNSNS.2009.10.7.927[Crossref]
- [30] Z.D. Dai, C.-J. Wang, S.-Q. Lin, D.-L. Li, G. Mu, Nonlinear Science Letters A 1, 77 (2010)
- [31] M.A. Abdou, E.M. Abulwafa, Nonlinear Science Letters A 1, 373 (2010)
- [32] R. Mokhtari, M. Mohammadi, Int. J. Nonlin. Sci. Num. 10, 779 (2009) http://dx.doi.org/10.1515/IJNSNS.2009.10.6.779[Crossref]
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.-psjd-doi-10_2478_s11534-010-0084-y