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Application of Modified Extended Tanh Technique for Solving Complex Ginzburg-Landau Equation Considering Kerr Law Nonlinearity

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Computers, Materials & Continua 2021年第2期66卷 1369-1378页

作者： Yuming Chu muhannad a.shallal Seyed Mehdi Mirhosseini-Alizamini Hadi Rezazadeh Shumaila Javeed Dumitru Baleanu Department of Mathematics Huzhou UniversityHuzhou313000China Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering Changsha University of Science&TechnologyChangsha410114China Mathematics Department College of ScienceUniversity of KirkukKirkukIraq Department of Mathematics Payame Noor UniversityTehranIran Amol University of Special Modern Technologies AmolIran Department of Mathematics COMSATS University IslamabadChak Shahzad Islamabad45550Pakistan Department of Mathematics Cankaya UniversityAnkaraTurkey Institute of Space Sciences Magurele-BucharestRomania

The purpose of this work is to find new soliton solutions of the complex Ginzburg–Landau equation(GLE)with Kerr law *** considered equation is an imperative nonlinear partial differential equation(PDE)in the field of *** applications of complex GLE can be found in optics,plasma and other related *** modified extended tanh technique with Riccati equation is applied to solve the Complex *** results are presented under a suitable choice for the values of *** are shown using the three and two-dimensional plots to represent the shape of the solution in real,and imaginary parts in order to discuss the similarities and difference between *** graphical representation of the results depicts the typical behavior of soliton *** obtained soliton solutions are of different forms,such as,hyperbolic and trigonometric *** results presented in this paper are novel and reported first time in the *** results establish the validity and applicability of the suggested technique for the complex *** suggested method with symbolic computational software such as,Mathematica and Maple,is proven as an effective way to acquire the soliton solutions of nonlinear partial differential equations(PDEs)as well as complex PDEs.

关键词： Modified extended tanh technique soliton solution complex Ginzburg-Landau equation Riccati equation

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Exact solutions of the conformable fractional EW and MEW equations by a new generalized expansion method

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Journal of Ocean Engineering and Science 2020年第3期5卷 223-229页

作者： muhannad a.shallal Khalid K.Ali Kamal R.Raslan Hadi Rezazadeh Ahmet Bekir Mathematics Department College of ScienceUniversity of KirkukKirkukIraq Mathematics Department Faculty of ScienceAl-Azhar UniversityNasr-CityCairoEgypt Faculty of Engineering Technology Amol University of Special Modern TechnologiesAmolIran Neighbourhood of Akcaglan Imarli StreetNumber:28/426030EskisehirTurkey

In this paper,we used the generalized(G’/G)-expansion method to construct exact solutions for conformable fractional nonlinear partial differential *** method is applied to obtain exact solutions for conformable fractional equal width wave equation(EW equation)and conformable fractional modified equal width wave equation(MEW equation).Based on the proposed method,several new exact solutions have been *** proposed method is powerful and easily applicable for solving different types of conformable fractional partial differential equations.

关键词： The generalized(G/G)-expansion method Conformable fractional derivative

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