arbitrary | < λv1 + μv2 > | z= μ x — λ t | u = h(z) |
1.1. a) | < λv1 + μv2 > | z = μ x — λ t | u = h(z) |
1.1. b) | < λv1 + μv3 > | z = t | $\begin{array}{}
\displaystyle
u = h(z) + \frac{{\mu \exp ( - et)x}}{{\lambda - \frac{{k\mu }}{e}\exp ( - et)}}
\end{array}$ |
2.1. a) | < λv1 + μv2 > | z = μ x — λ t | u = h(z) |
2.1. b) | < λv1 + μv5 > | z = t | $\begin{array}{}
\displaystyle
u= \displaystyle \frac{h(z)+\mu x}{\lambda+ \mu k t}
\end{array}$ |
2.1. c) | < v4 > | $\begin{array}{}
\displaystyle
z=(x-d t) t^{-\frac{1}{3}} + \frac{f k t^{\frac{5}{3}}}{2}
\end{array}$ | $\begin{array}{}
\displaystyle
u= t^{-\frac{2}{3}}h(z)- f t
\end{array}$ |
2.2. a) | < λv1 + μv2 > | z = μ x — λ t | u = h(z) |
2.2. b) | < v6 > | $\begin{array}{}
\displaystyle
z= (x-d t) t^{-\frac{1}{3}}
\end{array}$ | $\begin{array}{}
\displaystyle
u=t^{-\frac{1}{3n}}h(z)
\end{array}$ |
2.3. a) | < λv1 + μv2 > | z = μ x — λ t | u = h(z) |
2.3. b) | < v7 > | $\begin{array}{}
\displaystyle
z= (x-d t) t^{-\frac{1}{3}}
\end{array}$ | $\begin{array}{}
\displaystyle
u=t^{-\frac{2}{3n}}h(z)
\end{array}$ |
2.4. a) | < λv1 + μv2 > | z = μ x — λ t | u = h(z) |
2.4. b) | < v8 > | $\begin{array}{}
\displaystyle
z=\displaystyle x t^{-\frac{1}{3}}+ \frac{(a^2 - 4 b d)t^{\frac{2}{3}}}{4 b }
\end{array}$ | $\begin{array}{}
\displaystyle
u=\displaystyle t^{-\frac{1}{3}} h(z)- \frac{a}{2 b }
\end{array}$ |