全部文献期刊学位论文会议报纸专利标准年鉴图书|学者科研项目
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作者:Ran Wang , Wen-zheng Zhang , Zhen-tao Zhao ...
来源:[J].Nonlinear Dynamics(IF 3.009), 2017, Vol.90 (4), pp.2481-2494Springer
摘要:... Then the system is reduced to a system of nonlinear ordinary differential equations by the travelling wave transformations. According to the theory of planar dynamical systems, qualitative analyses on the solutions of the system are given in different parameter spaces. Spec...
作者:Bin He , Weiguo Rui , Shaolin Li ...
来源:[J].Applied Mathematics and Computation(IF 1.349), 2008, Vol.206 (1), pp.113-123Elsevier
摘要:... Some bounded travelling waves (loop solitons, peakons, solitary waves and periodic waves) are found. Under different parameter conditions, exact parametric representations of the above travelling waves in explicit form and in implicit form are obtained.
作者:Eugenia N. Petropoulou , Panayiotis D. Siafarikas , Ioannis D. Stabolas
来源:[J].Chaos, Solitons and Fractals(IF 1.246), 2008, Vol.41 (2), pp.803-810Elsevier
摘要:Abstract(#br)Using a functional analytic method, it is proven that an initial value problem for a general class of higher order nonlinear differential equations has a unique bounded solution in the Banach space H 1 ( Δ ) of analytic functions, defined in the open unit interv...
作者:Bin He
来源:[J].Nonlinear Analysis: Real World Applications(IF 2.201), 2008, Vol.11 (1), pp.364-371Elsevier
摘要:Abstract(#br)In this paper, a partial differential equation is investigated by using the bifurcation theory and the method of phase portraits analysis, the existence of loop soliton, peakon, generalized compacton, smooth and non-smooth periodic waves, breaking kink and anti-kink ...
作者:Eugenia N. Petropoulou , Panayiotis D. Siafarikas
来源:[J].Chaos, Solitons and Fractals(IF 1.246), 2006, Vol.33 (1), pp.94-108Elsevier
摘要:Abstract(#br)By use of a functional analytic method it is proved that a general class of second order nonlinear differential equations has analytic bounded solution of the form g ( ξ ) = ∑ n = 1 ∞ A n ( ξ T ) n - 1 , | ξ | < T , ...
作者:Jibin Li , Ming Li
来源:[J].Chaos, Solitons and Fractals(IF 1.246), 2004, Vol.25 (5), pp.1037-1047Elsevier
摘要:Abstract(#br)For the ( n + 1)-dimensional sine- and sinh-Gordon equations, by using the approach of dynamical systems to a class of travelling wave solutions, in 21 different regions of a five-parameter space, all possible 21 bounded solutions ( solitary breather solutions, kink...
作者:Bin He , Yao Long , Weiguo Rui
来源:[J].Nonlinear Analysis(IF 1.64), 2009, Vol.71 (5), pp.1636-1648Elsevier
摘要:... Many smooth solitary wave solutions, compacton solutions and smooth periodic wave solutions are obtained. Some previous results are extended.

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