Searching closed form analytic solutions to some nonlinear fractional wave equations
نویسندگان
چکیده
Numerous tangible incidents in physics, chemistry, applied mathematics and engineering are described successfully by means of models making use the theory derivatives fractional order research this area has grown significantly. In article, we establish exact solutions to some nonlinear differential equations. The recently established rational (G'/G)-expansion method with help complex transform is used examine abundant further general new closed form wave space-time mBBM equation, Burger’s equation ZKBBM sense Jumarie modified Riemann-Liouville derivative. reduces equations into ordinary then theories implemented effectively. It observed that performance reliable, useful gives broad-ranging than existing methods.
منابع مشابه
1 Some closed form solutions to the Navier - Stokes equations
An algorithm for generating a class of closed form solutions to the Navier-Stokes equations is suggested, with examples. Of particular interest are those exact solutions that exhibit intermittency, tertiary Hopf bifurcations, flow reversal, and hys-teresis.
متن کاملExact Periodic Wave Solutions to Some Nonlinear Evolution Equations
In this paper, the extended mapping method with symbolic computation is developed to obtain exact periodic wave solutions for nonlinear evolution equations arising in mathematical physics. Limit cases are studied and new solitary wave solutions and triangular periodic wave solutions are obtained. The method is applicable to a large variety of nonlinear partial differential equations, as long as...
متن کاملClosed Form Solutions of Integrable Nonlinear Evolution Equations
In this article we obtain closed form solutions of integrable nonlinear evolution equations associated with the nonsymmetric matrix ZakharovShabat system by means of the inverse scattering transform. These solutions are parametrized by triplets of matrices. Alternatively, the time evolution of the Marchenko integral kernels and direct substitution are employed in deriving these solutions.
متن کاملNew explicit and Soliton Wave Solutions of Some Nonlinear Partial Differential Equations with Infinite Series Method
To start with, having employed transformation wave, some nonlinear partial differential equations have been converted into an ODE. Then, using the infinite series method for equations with similar linear part, the researchers have earned the exact soliton solutions of the selected equations. It is required to state that the infinite series method is a well-organized method for obtaining exact s...
متن کاملExact travelling wave solutions for some complex nonlinear partial differential equations
This paper reflects the implementation of a reliable technique which is called $left(frac{G'}{G}right)$-expansion ethod for constructing exact travelling wave solutions of nonlinear partial differential equations. The proposed algorithm has been successfully tested on two two selected equations, the balance numbers of which are not positive integers namely Kundu-Eckhaus equation and Derivat...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Arab journal of basic and applied sciences
سال: 2021
ISSN: ['2576-5299']
DOI: https://doi.org/10.1080/25765299.2021.1886678