Exact Traveling Wave Solutions of the Schamel-KdV Equation with Two Different Methods

The Schamel-Korteweg-de Vries (S-KdV) equation including a square root nonlinearity is very important pattern for the research of ion-acoustic waves in plasma and dusty plasma. As known, it significant to discover traveling wave solutions such equations. Therefore, this paper, some new S-KdV equation, which arises physics study ion acoustic solitons when electron trapping present also governs electrostatic potential certain distribution velocity space, are constructed. For purpose, Bernoulli Sub-ODE modified auxiliary methods used. It has been shown that suggested effective give different types function as: hyperbolic, trigonometric, power, exponential, rational functions. applied computational strategies direct, efficient, concise can be implemented more complex phenomena with assistant symbolic computations. results found paper great interest may used sorts specialities several systems.