Exact solutions for modified Korteweg–de Vries equation

Using the simple wave or traveling wave solution technique, many different types of solutions are derived for modified Korteweg–de Vries (KdV) equation. The solutions are obtained from the set of nonlinear algebraic equations, which can be derived from the modified Korteweg–de Vries (KdV) equation by using the hyperbolic transformation method. The method can be applicable for similar nonlinear wave equations.