We consider the following simplified model for the Belousov-Zhabotinskii(B-Z) reaction:?u/?t=u(1-u-rv)+d?~2u/?x^2,?v/?t=-suv+?~2v/?x^2,where r and s are positive parameters, and d is the diffusing constant for the con...We consider the following simplified model for the Belousov-Zhabotinskii(B-Z) reaction:?u/?t=u(1-u-rv)+d?~2u/?x^2,?v/?t=-suv+?~2v/?x^2,where r and s are positive parameters, and d is the diffusing constant for the concen-tration u. Seeking travelling wave front solution and making an ansatz for the solution,we obtain a nonlinear system of algebraic equations. The system is solved using WuElimination and then we are able to find several exact solutions which are of interest.展开更多
基金This work is supporred the National Natural Science Foundation of China.
文摘We consider the following simplified model for the Belousov-Zhabotinskii(B-Z) reaction:?u/?t=u(1-u-rv)+d?~2u/?x^2,?v/?t=-suv+?~2v/?x^2,where r and s are positive parameters, and d is the diffusing constant for the concen-tration u. Seeking travelling wave front solution and making an ansatz for the solution,we obtain a nonlinear system of algebraic equations. The system is solved using WuElimination and then we are able to find several exact solutions which are of interest.
