Interactions among Periodic Waves and Solitary Waves of the (2+1)-Dimensional Konopelchenko–Dubrovsky Equation
LEI Ya1 , LOU Sen-Yue1,2**
1 Faculty of Science, Ningbo University, Ningbo 3152112 Shanghai Key Laboratory of Trustworthy Computing, East China Normal University, Shanghai 200062
Abstract ：By using the truncated Painlevé analysis and the generalized tanh function expansion approaches, many interaction solutions among solitons and other types of nonlinear excitations of the Konopelchenko–Dubrovsky (KD) equation can be obtained. Particularly, the soliton-cnoidal wave interaction solutions are studied by means of the Jacobi elliptic functions and the third type of incomplete elliptic integrals.
收稿日期: 2013-01-21
出版日期: 2013-05-31
[1] Lou S Y 2000 Phys. Lett. A 277 94 2001 J. Phys. A: Math. Gen. 34 305 2002 Phys. Rev. E 66 046601 2003 Chin. Phys. Lett. 20 1448 2002 Chin. Phys. Lett. 19 769 1967 Phys. Rev. Lett. 19 1095 1992 Lett. Math. Phys. 26 199 2003 Chin. Phys. Lett. 20 1413 1971 Phys. Rev. Lett. 27 1192 1990 Phys. Lett. A 151 133 1991 J. Phys. A: Math. Gen. 24 1455 2000 J. Math. Phys. 41 8286 Z. Naturforsch. A 53 2512012 arXiv:1208.5314 [nlin.SI] 1984 Phys. Lett. A 102 15 1987 J. Phys. A: Math. Gen. 20 429 2001 Chin. Phys. Lett. 18 1173 1990 J. Phys. A 23 3923 Commun. Theor. Phys. 16 891989 Phys. Lett. A 139 373 Singapore J. Phys. 7 472000 Phys. Lett. A 277 212 2005 Phys. Rev. E 71 036628 2004 J. Phys. A: Math. Gen. 37 8017 2004 arXiv:nlin/0410065v2 [nlin.SI] 2009 Math. Nachr. 282 526 2012 arXiv:1201.3409 [math-ph] 2012 J. Phys. A: Math. Theor. 45 155209 2012 Phys. Rev. E 85 056607 2012 arXiv:1208.3259 [nlin.SI]
[1]
.
[2]
.
[3]
.
[4]
.
[5]
.
[6]
.
[7]
.
[8]
.
[9]
.
[10]
.
[11]
.
[12]
.
[13]
.
[14]
.
[15]
.
2013, Vol. 30 
