【摘要】 本文利用变数变换和解析积分的办法,找到了Korteweg-de Vries-Burgers方程的一类单调激波型的解析解。文中分别给出了隐式和显式形式的解。利用数值积分或Jacobi余弦椭圆函数的级数表达式,可以容易地数值计算该函数值。文中给出了不同的ν和δ值的解曲线的形状。更多还原

【Abstract】 On using variable transformations and the analytical integration, one class of analytical solutions of the Korteweg-De Vries-Burgers equation for monotonie shock profiles has been found. Implicit and explicit forms of the analytical solutions are given out in the paper. Using the series expression of the Jacobi Cosine elliptic function or the numerioal integration, it is easy to calculate this function. The profiles of the solution curves for various values of v and δ have been shown in the figures of the paper.更多还原