Exact solutions for nonlinear variants of Kadomtsev–Petviashvili (n, n) equation using functional variable method
Tóm tắt
Studying compactons, solitons, solitary patterns and periodic solutions is important in nonlinear phenomena. In this paper we study nonlinear variants of the Kadomtsev–Petviashvili (KP) and the Korteweg–de Vries (KdV) equations with positive and negative exponents. The functional variable method is used to establish compactons, solitons, solitary patterns and periodic solutions for these variants. This method is a powerful tool for searching exact travelling solutions in closed form.
Tài liệu tham khảo
A M Wazwaz, Comput. Math. Appl. 49, 565 (2005)
A Biswas, A H Kara and E Zerrad, Open Nuclear and Particle Phys. J. 4, 21 (2011)
A Biswas, Int. J. Theor. Phys. 49, 79 (2010)
A M Wazwaz, Appl. Math. Comput. 154, 713 (2004)
A M Wazwaz, Bull. Inst. Math. Acad. Sinica 29, 125 (2001)
I Aslan, Appl. Math. Comput. 217, 8134 (2011)
I Aslan, Math. Meth. Appl. Sci. 35, 716 (2012)
W X Ma, A Abdeljabbar and M G Asaad, Appl. Math. Comput. 217, 10016 (2011)
N A Kudryashov and N B Loguinova, Commun. Nonlinear Sci. Numer. Simul. 14, 1881 (2009)
I Aslan, Appl. Math. Comput. 219, 2825 (2012)
A Zerarka, S Ouamane and A Attaf, Appl. Math. Comput. 217, 2897 (2010)
A Zerarka and S Ouamane, World J. Model. Simul. 6, 150 (2010)
A C Cevikel, A Bekir, M Akar and S San, Pramana – J. Phys. 79, 337 (2012)
A Nazarzadeh, M Eslami and M Mirzazadeh, Pramana – J. Phys. 81, 225 (2013)
A M Wazwaz, Appl. Math. Comput. 170, 361 (2005)
A M Wazwaz, Appl. Math. Comput. 190, 633 (2007)
A M Wazwaz, Appl. Math. Comput. 204, 227 (2008)
A M Wazwaz, Appl. Math. Comput. 161, 561 (2005)
A M Wazwaz, Appl. Math. Comput. 132, 29 (2002)
M S Ismail, M D Petkovic and A Biswas, Appl. Math. Comput. 216, 2220 (2010)
F Cooper, H Shepard and P Sodano, Phys. Rev. E 48, 4027 (1993)
A Khare and F Cooper, Phys. Rev. E 48, 4843 (1993)
P Rosenau and J M Hyman, Phys. Rev. Lett. 70, 564 (1993)
A Cardenas, B Mihaila, F Cooper and A Saxena, Phys. Rev. E 83, 066705 (2011)
B B Kadomtsev and V I Petviashvili, Sov. Phys. Dokl. 15, 539 (1970)