By using the generalized exponential rational function method, we construct the analytical solutions of the mitigating internet bottleneck with quadratic-cubic nonlinearity involving the β-derivative. This equation is described to control internet traffic. A number of new optical soliton solution for them are calculated. Oblique optical solutions also emerge as a product of this integration scheme. The results are applicable to mitigate Internet bottleneck, which is a growing problem in the telecommunications industry.