Two forms of (3+1)-dimensional B-type Kadomtsev-Petviashvili equation: Multiple soliton solutions

Physica Scripta

Volumn 86, Issue 3, 2012, Pages

  Wazwaz, Abdul Majid ^a  

^a SAINT XAVIER UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EXTENDED FORM; KADOMTSEV-PETVIASHVILI EQUATION; MULTIPLE-SOLITON SOLUTIONS; TWO SOLITON SOLUTIONS;

PARTIAL DIFFERENTIAL EQUATIONS;

SOLITONS;

EID: 84866951922     PISSN: 00318949     EISSN: 14024896     Source Type: Journal    
DOI: 10.1088/0031-8949/86/03/035007     Document Type: Article

References (21)

1. Wazwaz A M 2011 Distinct kinds of multiple-soliton solutions for a (3 + 1)-dimensional generalized B-type Kadomtsev-Petviashvili equation Phys. Scr. 84 055006
2. Shen H-F and Tu M-H 2011 On the constrained B-type Kadomtsev-Petviashvili equation: Hirota bilinear equations and Virasoro symmetry J. Math. Phys. 52 032704
3. Ma W X, Abdeljabbar A and Asaad M G 2011 Wronskian and Grammian solutions to a (3 + 1)-dimensional generalized KP equation Appl. Math. Comput. 217 10016-23
4. Hirota R and Ito M 1983 Resonance of solitons in one dimension J. Phys. Soc. Japan 52 744-8
5. Ito M 1980 An extension of nonlinear evolution equations of the K-dV (mK-dV) type to higher order J. Phys. Soc. Japan 49 771-8
6. Hirota R and Satsuma J 1976 N-soliton solutions of model equations for shallow water waves J. Phys. Soc. Japan 40 611-2
7. Hirota R 1974 A new form of Bäcklund transformations and its relation to the inverse scattering problem Prog. Theor. Phys. 52 1498-512
8. Hirota R 2004 The Direct Method in Soliton Theory (Cambridge: Cambridge University Press)
9. Hirota R 1971 Exact solutions of the Korteweg-de Vries equation for multiple collisions of solitons Phys. Rev. Lett. 27 1192-4
10. Hietarinta J 1987 A search for bilinear equations passing Hirota's three-soliton condition I KdV-type bilinear equations J. Math. Phys. 28 1732-42
11. Hietarinta J 1987 A search for bilinear equations passing Hirota's three-soliton condition II mKdV-type bilinear equations J. Math. Phys. 28 2094-101
12. Hereman W and Nuseir A 1997 Symbolic methods to construct exact solutions of nonlinear partial differential equations Math. Comput. Simul. 43 13-27 (Pubitemid 127454061)
13. Wazwaz A M 2009 Partial Differential Equations and Solitary Waves Theory (Nonlinear Physical Science) (Berlin: Springer)
14. Wazwaz A M 2007 New solitons and kink solutions for the Gardner equation Commun. Nonlinear Sci. Numer. Simul. 12 1395-404 (Pubitemid 46832139)
15. Wazwaz A M 2007 Multiple-soliton solutions for the Boussinesq equation Appl. Math. Comput. 192 479-86 (Pubitemid 47445709)
16. Wazwaz A M 2008 The Hirota's direct method and the tanh-coth method for multiple-soliton solutions of the Sawada-Kotera-Ito seventh-order equation Appl. Math. Comput. 199 133-8 (Pubitemid 351508321)
17. Wazwaz A M 2011 A new generalized fifth order nonlinear integrable equation Phys. Scr. 83 035003
18. Wazwaz A M 2011 A new fifth order nonlinear integrable equation: multiple soliton solutions Phys. Scr. 83 015012
19. Wazwaz A M 2010 N-soliton solutions for the Vakhnenko equations and its generalized forms Phys. Scr. 82 065006
20. Wazwaz A M 2011 Soliton solutions for seventh-order Kawahara equation with time dependent coefficients Mod. Phys. Lett. B 25 643-8
21. Wazwaz A M 2011 Integrability of coupled KdV equations Cent. Eur. J. Phys. 9 835-40