New Type Soliton Solutions to Korteweg-de Vries and Benjamin-Bona-Mahony Equations
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Abstract
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.
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LIU Yu. New Type Soliton Solutions to Korteweg-de Vries and Benjamin-Bona-Mahony Equations[J]. Chin. Phys. Lett., 2010, 27(9): 090201. DOI: 10.1088/0256-307X/27/9/090201
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LIU Yu. New Type Soliton Solutions to Korteweg-de Vries and Benjamin-Bona-Mahony Equations[J]. Chin. Phys. Lett., 2010, 27(9): 090201. DOI: 10.1088/0256-307X/27/9/090201
|
LIU Yu. New Type Soliton Solutions to Korteweg-de Vries and Benjamin-Bona-Mahony Equations[J]. Chin. Phys. Lett., 2010, 27(9): 090201. DOI: 10.1088/0256-307X/27/9/090201
|
LIU Yu. New Type Soliton Solutions to Korteweg-de Vries and Benjamin-Bona-Mahony Equations[J]. Chin. Phys. Lett., 2010, 27(9): 090201. DOI: 10.1088/0256-307X/27/9/090201
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