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	SEVERAL NEW TYPES OF SOLITARY WAVE SOLUTIONS FOR THE GENERALIZED CAMASSA-HOLM-DEGASPERIS-PROCESI EQUATION
	Liu, Rui
	2010
关键词	New explicit solutions generalized Camassa-Holm equation generalized Degasperis-Procesi equation phase analysis MODIFIED FORMS SHOCK-WAVES WATER-WAVES PEAKONS STABILITY SMOOTH MODELS CUSP
英文摘要	In this paper, we study the nonlinear wave solutions of the generalized Camassa-Holm-Degasperis-Procesi equation u(t) - u(xxt) + (1 + b)u(2)u(x) = bu(x)u(xx) + uu(xxx). Through phase analysis, several new types of the explicit nonlinear wave solutions are constructed. Our concrete results are: (i) For given b > -1, if the wave speed equals 1/1+b, then the explicit expressions of the smooth solitary wave solution and the singular wave solution are given. (ii) For given b > - 1, if the wave speed equals I + b, then the explicit expressions of the peakon wave solution and the singular wave solution are got. (iii) For given b > -2 and b not equal -1, if the wave speed equals 2+b/2, then the explicit smooth solitary wave solution, the peakon wave solution and the singular wave solution are obtained. We also verify the correctness of these solutions by using the software Mathematica. Our work extends some previous results.; Mathematics, Applied; Mathematics; SCI(E); 6; ARTICLE; 1; 77-90; 9
语种	英语
出处	SCI
出版者	communications on pure and applied analysis
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/314510]
专题	数学科学学院
推荐引用方式 GB/T 7714	Liu, Rui. SEVERAL NEW TYPES OF SOLITARY WAVE SOLUTIONS FOR THE GENERALIZED CAMASSA-HOLM-DEGASPERIS-PROCESI EQUATION. 2010-01-01.

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