Abstract The energy sector occupies a central role in European policy regarding the sustainability and climate change ambitions. This economic gained even more importance context of growing demand threat to security stability Eastern Europe. administrative changes from past years shift towards renewable sources created momentum for general transformation sector. research this field is much need...

Exact solutions of traveling wave are acquired by employ a relatively new technique which is called standard tanh method for nonlinear diffusion–convection equation. The applied the first time finding travelling equation , where n and m, integers, order (m=4, n=7) (m=5, n=9). Analytical equations obtained as polynomial in tanh(x), plots exact given. results compared with F-Expansion to validate...

Abstract In this paper, other types of exact solution of a first-order nonlinear ordinary differential equation is further investigated. By using the solutions of this equation, and a new general ansatz, we give some types of solutions of a class of nonlinear partial differential equations and MKdV equation. These solutions includes solitary wave solutions, singulary solitary solitary solutions...

In this paper we further improve the modified extended tanh-function method to obtain new exact solutions for nonlinear partial differential equations. Numerical applications of the proposed method are verified by solving the improved Boussinesq equation and the system of variant Boussinesq equations. The new exact solutions for these equations include Jacobi elliptic doubly periodic type, Weie...

In this paper, we have studied on the solutions of modied KdV equation andalso on the stability of them. We use the tanh method for this investigationand given solutions are good-behavior. The solution is shock wave and can beused in the physical investigations

In this work, we solve the one-dimensional nonlinear logarithmic diffusion equation using a lattice-Boltzmann model and a d1q3 velocity scheme. Besides, the Tanh solitary wave method is used finding several families of solutions.

In this work, we established exact solutions for some nonlinear evolution equations. The tanhcoth method was used to construct solitary and soliton solutions of (2+1)-dimensional nonlinear evolution equations. The tanh-coth method presents a wider applicability for handling nonlinear wave equations.

in this paper, we have studied on the solutions of modied kdv equation andalso on the stability of them. we use the tanh method for this investigationand given solutions are good-behavior. the solution is shock wave and can beused in the physical investigations

Let us assume we are given an almost Poincaré, hyper-Thompson–Germain, compactly empty ring Σ′. It has long been known that tanh (X − |J |) ≤ ∫ inf uΞ,J→1 r dvΓ × · · ·+−∞k̃