Single peak solitary wave solutions for the CH-KP(2,1) equation under boundary condition☆
Single peak solitary wave solutions for the CH-KP(2,1) equation under boundary condition☆
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DOI：
10.1016/j.jde.2015.02.015
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发表时间：
2015-07
影响因子：
2.4
通讯作者：
Minzhi Wei;Xianbo Sun;Shengqiang Tang
中科院分区：
文献类型：
--
作者：
Minzhi Wei;Xianbo Sun;Shengqiang Tang
将微分方程定性理论应用于CH-KP（2，1）方程[ut + 2 ux −（u2）xxt − uux] x+ uyy = 0.结果表明，当满足非零常数基台limx → ± ∞ <$u= A <$0时，CH-KP（2，1）方程存在正则峰孤子、尖孤子和光滑孤子解;当满足非零常数基台limx → ± ∞ <$u= A <$0时，CH-KP（2，1）方程存在正则峰孤子、尖孤子和光滑孤子解.特别是对CH-KP（2，1）方程的峰子、尖点、孤子、环孤子和光滑孤子解进行了数学分析和数值模拟。
The qualitative theory of differential equations is applied to the CH-KP (2, 1) equation [u t+ 2 u x−(u 2) x x t− u u x] x+ u y y= 0. Our procedure shows that the CH-KP (2, 1) equation either has the regular peakon soliton, cuspon soliton and smooth soliton solutions when sitting on the non-zero constant pedestal lim x→±∞ u= A≠ 0, or possesses compacton solutions only when lim x→±∞ u= A= 0. In particular, mathematical analysis and numerical simulations of the CH-KP (2, 1) equation are provided for those peakon, cuspon, compacton, loop soliton and smooth soliton solutions.