Analysis of Wave Transformational Method to Nonlinear PDEs: Exponential Rational Function Method
Keywords:
Partial Differential Equation, Rational Solutions, KdV equation, mKdV equation, KP equation, KMN equation, SolitonsAbstract
This work explores the well-known wave transformational approach as exponential rational function method (ERFM) to the nonlinear partial differential equations (PDEs). The method utilizes a rational function in term of the exponential functions, which is suitable for the study of nonlinear equation. Due to the rational function solutions, the technique can give different type of solutions such as solitons, lumps, kinks, and breathers. As it considers the exponential rational forms, it provides the exact solution of the nonlinear PDEs. This study investigates the ERFM to the well-known equations such as KdV equation, KP equation, mKdV equation, and KMN equation. It also analyses the dynamical behavior for the obtained solutions in three dimensional graphics for appropriate values of the arbitrary parameters. The models studied in this work explains the nonlinear wave phenomena from different fields such as fluid dynamics, oceanography, plasma physics, opitic fibers, and other sciences.References
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