We study the Korteweg-de Vries equation and the Benjamin-Bona-Mahony equation, and obtain three kinds of new type soliton solutions, i.e. peakon solutions, double-peak (peaked-point and peaked-compacton) soliton solutions. A double solitary wave with blow-up points is also contained.
We study the Korteweg-de Vries equation and the Benjamin-Bona-Mahony equation, and obtain three kinds of new type soliton solutions, i.e. peakon solutions, double-peak (peaked-point and peaked-compacton) soliton solutions. A double solitary wave with blow-up points is also contained.
LIU Yu. New Type Soliton Solutions to Korteweg-de Vries and Benjamin-Bona-Mahony Equations[J]. 中国物理快报, 2010, 27(9): 90201-090201.
LIU Yu. New Type Soliton Solutions to Korteweg-de Vries and Benjamin-Bona-Mahony Equations. Chin. Phys. Lett., 2010, 27(9): 90201-090201.
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2010, Vol. 27 
