Exact special solitary solutions with compact support for the nonlinear dispersive K(m,n) equations

被引:14
|
作者
Zhu, YG [1 ]
Gao, XS
机构
[1] Commun Univ China, Sch Sci, Beijing 100024, Peoples R China
[2] Chinese Acad Sci, Key Lab Math Mech, Acad Math & Syst Sci, Beijing 100080, Peoples R China
关键词
D O I
10.1016/j.chaos.2005.04.028
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The nonlinear dispersive K(m,n) equations, u(t)-(u(m))(x)-(u(n))(xxx) = 0 which exhibit compactons: solitons with compact support, are studied. New exact solitary solutions with compact support are found. The two special cases, K(2,2) and K(3 3), are chosen to illustrate the concrete features of the decomposition method in K(m, n) equations. General formulas for the solutions of K(m,n) equations are established. (c) 2005 Elsevier Ltd. All rights reserved.
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页码:487 / 493
页数:7
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