Research Article
A New Exact Solution of Burgers’ Equation with Linearized Solution
Table 1
Waves types of the tanh-coth solutions, the Cole-Hopf solution, and the new exact solution of the general Burgers’ equation.
| |
Parameters | Exact solutions | | | The tanh-coth solutions | The Cole-Hopf solution | The new exact solution | | Equation (2) | Equation (3) | Equation (4) | Equation (5) |
| | >0 | >0 | Kink | Traveling wave | NA | NA | Kink | Traveling wave | | <0 | >0 | Kink | Traveling wave | NA | NA | Kink | Kink | | >0 | <0 | NA | NA | Traveling wave | Traveling wave | Kink | Traveling wave | | <0 | <0 | NA | NA | Traveling wave | Traveling wave | Kink | Kink |
|
|
