摘要
直接假设非线性色散-耗散方程ut+uux+Buxxx-A(ut+muux)x=0的精确解具有指数函数的有理分式的形式,利用待定系数法,将求解非线性色散-耗散方程的问题转化为代数方程组的求解问题,从而获得了非线性色散-耗散方程的一类精确解.
Suppose the nonlinear dispersive-dissipative equation u1＋uux＋Buxxx-A（ut＋muux）x=0 has an exact solution that be in the form of rational hyperbolic functions. By the undetermined coefficient method, the problem of solving the nonlinear dispersive-dissipative equation is converted into the problem of solving the algebra equation, thus obtaining the exact solution of the nonlinear dispersive-dissipative equation.
出处
《甘肃科学学报》
2007年第3期23-25,共3页
Journal of Gansu Sciences
基金
国家自然科学基金项目(10447006)
天水师范学院科研项目(TSB0508)
关键词
非线性色散-耗散方程
精确解
待定系数法
nonlinear dispersive-dissipative equation
exact solution
undetermined coefficient method
