The Solutions of the Benney-Luke Equation and the Modified Equal-Width Using the Riccati-Bernoulli sub-ODE Method
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Abstract
This research article aims to find solutions to the Benney-Luke equation and the modified equal-width equation using the Riccati-Bernoulli sub-ODE method. This method is frequently employed for solving nonlinear partial differential equations. The solutions obtained for both the Benney-Luke and the modified equal-width equations are expressed in terms of hyperbolic functions and trigonometric functions. Furthermore, some solutions are generated in the form of kink waves and periodic waves, and are represented by two-dimensional and three-dimensional graphs.
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