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The traveling wave solutions and their bifurcations for the bbm-like b(m,n) equations
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نویسنده
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li s. ,liu z.
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منبع
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journal of applied mathematics - 2013 - دوره : 2013 - شماره : 0
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چکیده
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We investigate the traveling wave solutions and their bifurcations for the bbm-like b(m,n) equations ut+αux+β(um)x-γ(un)xxt=0 by using bifurcation method and numerical simulation approach of dynamical systems. firstly,for bbm-like b(3,2) equation,we obtain some precise expressions of traveling wave solutions,which include periodic blow-up and periodic wave solution,peakon and periodic peakon wave solution,and solitary wave and blow-up solution. furthermore,we reveal the relationships among these solutions theoretically. secondly,for bbm-like b(4,2) equation,we construct two periodic wave solutions and two blow-up solutions. in order to confirm the correctness of these solutions,we also check them by software mathematica. © 2013 shaoyong li and zhengrong liu.
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آدرس
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college of mathematics and information sciences,shaoguan university,shaoguan,guangdong 512005,china,department of mathematics,south china university of technology,guangzhou, China, department of mathematics,south china university of technology,guangzhou, China
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Authors
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