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	SOME NEW RESULTS ON EXPLICIT TRAVELING WAVE SOLUTIONS OF K(m, n) EQUATION
	Liu, Rui
	2010
关键词	K(m, n) equation bifurcation method new explicit solutions blow-up solutions NONLINEAR DISPERSIVE K(M COMPACT SUPPORT SOLITONS PATTERNS
英文摘要	In this paper, we investigate the traveling wave solutions of K(m, n) equation u(t) + a(u(m))(x) + (u(n))(xxx) = 0 by using the bifurcation method and numerical simulation approach of dynamical systems. We obtain some new results as follows: (i) For K(2, 2) equation, we extend the expressions of the smooth periodic wave solutions and obtain a new solution, the periodic-cusp wave solution. Further, we demonstrate that the periodic-cusp wave solution may become the peakon wave solution. (ii) For K(3, 2) equation, we extend the expression of the elliptic smooth periodic wave solution and obtain a new solution, the elliptic periodic-blow-up solution. From the limit forms of the two solutions, we get other three types of new solutions, the smooth solitary wave solutions, the hyperbolic 1-blow-up solutions and the trigonometric periodic-blow- up solutions. (iii) For K(4, 2) equation, we construct two new solutions, the 1-blow-up and 2-blow-up solutions.; Mathematics, Applied; SCI(E); 8; ARTICLE; 3; 633-646; 13
语种	英语
出处	SCI
出版者	discrete and continuous dynamical systems series b
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/314494]
专题	数学科学学院
推荐引用方式 GB/T 7714	Liu, Rui. SOME NEW RESULTS ON EXPLICIT TRAVELING WAVE SOLUTIONS OF K(m, n) EQUATION. 2010-01-01.

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