Riccati-Bernoulli Sub-ODE is a new method to construct the exact traveling wave solutions of the nonlinear modified Korteweg-de Vries (mKdV) equation. This method can be used to solve the nonlinear, random modified Korteweg-de Vries (mKdV) equation. It serves as effective tool to solve many mathematical and physics problems. The travelling wave solutions of these equations can be expressed by hyperbolic functions, trigonometric functions and rational functions. Although several methods are in existence to find out the solution analytical solutions for the linear and nonlinear equations, Jacobi elliptic function method could find the exact solution to the non-linear equations as these equations can be converted into a set of algebraic equations.
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