Yuqian Zhou scite author profile

Int. J. Bifurcation Chaos

2013

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In this paper, bounded traveling waves of a generalized Burgers–Fisher equation are investigated. By studying some complicated local and nonlocal bifurcations such as the Hopf bifurcation, homoclinic bifurcation, heteroclinic bifurcation and Poincaré bifurcation of the corresponding traveling wave system, we obtain sufficient conditions to guarantee the existence of different kinds of bounded traveling waves, including solitary waves, kink waves and periodic waves. Further, we discuss the existence of various oscillatory bounded traveling waves.

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Sharp condition of global existence for nonlinear Schrödinger equation with a harmonic potential

et al. 2006

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Bifurcation of travelling wave solutions for the (2+1)-dimensional Broer–Kau–Kupershmidt equation

2008

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Upper and lower bound of the blow-up rate for nonlinear Schrödinger equation with a harmonic potential

2006

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Construction of solutions with exactly k blow-up points for nonlinear Schrödinger equation with a harmonic potential

2007

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Kink wave and saddle-spiral shock wave of a partial differential equation model of excitable media

et al. 2012

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Bounded traveling waves of the oceanic currents motion equations

et al. 2010

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Bifurcation of travelling wave solutions for the modified dispersive water wave equation