Dispersive analytical soliton solutions of some nonlinear waves dynamical models via modified mathematical methods

Abstract

Abstract We have employed a modified form of the F-expansion technique on four nonlinear waves models and obtained numerous exact and soliton wave solutions in a different form. New constructed solutions showed the significance of these models. The constructed results have plenty applications in nonlinear research.

Keywords

• Complex fractional Kundu–Eckhaus equation
• Van der Waals normal form for fluidized granular matter equation
• Benney–Luke equation
• The ( 3 + 1 ) $(3 + 1)$ -dimensional modified Korteweg–de Vries–Zakharov–Kuznetsov equation
• Riccati equation
• Modified F-expansion method