Abstract
The analytical and solitary traveling solutions of the nonlinear complex fractional generalized Zakharov equations are investigated. The nonlinear complex fractional generalized Zakharov equations describe the interaction between dispersive and non-dispersive waves in one dimension. Analytical and solitary traveling wave solutions were obtained through applying a generalized Kudryashov and a novel (frac{G'}{G})-expansion methods. Novel solutions were the results of our investigated model, which illustrated the effectiveness and the power of the obtained methods in regards to accuracy, power, and effectiveness compared to the previously used methods.
Highlights
1 Introduction The nonlinear complex fractional generalized-Zakharov system characterizes the proliferation of Langmuir waves in the ionized plasma
The nonlinear model of nonlinear complex fractional generalized-Zakharov system is very important and has many applications related to this phenomenon
Studying the physical properties of these kinds of models is very motivating and interesting. Both of these methods are very direct, effective, and powerful, and we showed the ability of these methods to be applied to different kinds of nonlinear partial differential equations whether they are of the fractional order or of the integer order
Summary
Introduction The nonlinear complex fractional generalized-Zakharov system characterizes the proliferation of Langmuir waves in the ionized plasma. The nonlinear model of nonlinear complex fractional generalized-Zakharov system is very important and has many applications related to this phenomenon. Further research was done to continue this trend, and the results obtained were analytical and solitary traveling wave solutions. From the above discussed studies, lots of methods were derived to solve the nonlinear partial differential equation models as follows: the
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