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Bifurcation analysis and exact traveling wave solutions for a generic two-dimensional sine-Gordon equation in nonlinear optics
Qing Meng,Bin He
Keywords:two-dimensional sine-Gordon equation; bifurcation analysis; exact traveling wave solution; numerical simulation
Abstract:
      We focus on investigating a generic two-dimensional sine-Gordon equation in nonlinear optics. Based on a viable transformation, the bifurcation analysis of the equation is carried out in this paper. The phase portraits are given and different kinds of traveling wave solutions are obtained. The analytical results are also numerically simulated.