Czasopismo
Tytuł artykułu
Autorzy
Warianty tytułu
Języki publikacji
Abstrakty
In this work, two new completely integrable extensions of the Kadomtsev-Petviashvili (eKP) equation are developed. Multiple soliton solutions and multiple singular soliton solutions are derived to demonstrate the compatibility of the extensions of the KP equation.
Czasopismo
Rocznik
Tom
Numer
Strony
49-56
Opis fizyczny
Daty
wydano
2011-02-01
online
2010-09-24
Twórcy
autor
- Department of Mathematics, Saint Xavier University, Chicago, IL, 60655, USA, wazwaz@sxu.edu
Bibliografia
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- [2] X. Geng, J. Phys. A-Math. Gen. 36, 2289 (2003) http://dx.doi.org/10.1088/0305-4470/36/9/307[Crossref]
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- [4] J. Wu, Phys. Lett. A 373, 83 (2008) http://dx.doi.org/10.1016/j.physleta.2008.10.071[Crossref]
- [5] B.B. Kadomtsev, V.I. Petviashvili, Soviet Physics - Doklady 15, 539 (1970)
- [6] M. Ito, J. Phys. Soc. Jpn. 49, 771 (1980) http://dx.doi.org/10.1143/JPSJ.49.771[Crossref]
- [7] R. Hirota, M. Ito, J. Phys. Soc. Jpn. 52, 744 (1983) http://dx.doi.org/10.1143/JPSJ.52.744[Crossref]
- [8] R. Hirota, J. Satsuma, J. Phys. Soc. Jpn. 40, 611 (1976) http://dx.doi.org/10.1143/JPSJ.40.611[Crossref]
- [9] R. Hirota, Prog. Theor. Phys. 52, 1498 (1974) http://dx.doi.org/10.1143/PTP.52.1498[Crossref]
- [10] R. Hirota, The Direct Method in Soliton Theory, (Cambridge University Press, Cambridge, 2004) http://dx.doi.org/10.1017/CBO9780511543043[Crossref]
- [11] R. Hirota, Phys. Rev. Lett. 27, 1192 (1971) http://dx.doi.org/10.1103/PhysRevLett.27.1192[Crossref]
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- [13] J. Hietarinta, J. Math. Phys. 28, 2094 (1987) http://dx.doi.org/10.1063/1.527421[Crossref]
- [14] Y. Matsuno, Bilinear Transformation Method, (Academic Press, London, 1984)
- [15] Y. Matsuno, J. Phys. Soc. Jpn. 49, 787 (1980) http://dx.doi.org/10.1143/JPSJ.49.787[Crossref]
- [16] W. Hereman, A. Nuseir, Math. Comput. Simulat. 43, 13 (1997) http://dx.doi.org/10.1016/S0378-4754(96)00053-5[Crossref]
- [17] A. Scott, Encyclopedia of Nonlinear Sciences, (Routledge, New York, 2005)
- [18] A.M. Wazwaz, Partial Differential Equations and Solitary Waves Theory, (Springer and HEP, Berlin and Peking, 2009) http://dx.doi.org/10.1007/978-3-642-00251-9[Crossref]
- [19] A.M. Wazwaz, Appl. Math. Comput. 190, 633 (2007) http://dx.doi.org/10.1016/j.amc.2007.01.056[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. 204, 20 (2008) http://dx.doi.org/10.1016/j.amc.2008.05.126[Crossref]
- [26] A.M. Wazwaz, Appl. Math. Comput. 204, 162 (2008) http://dx.doi.org/10.1016/j.amc.2008.06.011[Crossref]
- [27] A.M. Wazwaz, Appl. Math. Comput. 204, 817 (2008) http://dx.doi.org/10.1016/j.amc.2008.07.025[Crossref]
- [28] A.M. Wazwaz, Appl. Math. Comput. 204, 529 (2008)
- [29] A.M. Wazwaz, Commun. Nonlinear Sci. 14, 2962 (2009) http://dx.doi.org/10.1016/j.cnsns.2008.12.018[Crossref]
- [30] A.M. Wazwaz, Phys. Lett. A (in press)
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.-psjd-doi-10_2478_s11534-010-0056-2