Current Issue : April - June Volume : 2020 Issue Number : 2 Articles : 5 Articles
In this article, by using the modified CK direct method, we give a relationship\nbetween the generalized fifth-order KDV equations with variable coefficients\nand the corresponding constant coefficients ones. Then, we construct the abundant\ntravelling solutions by the extended trial equation method (ETEM) in\nterms of different functions, such as the elliptic functions, rational functions,\nhyperbolic functions and trigonometric functions. The extended trial equation\nmethod is powerful and can be used to other partial differential equations\nand more research can be done by this method....
In the present paper, an elliptic equation with Hardy-Sobolev critical exponent,\nHardy-Sobolev-Mazâ??ya potential and sign-changing weights, is considered.\nBy using the Nehari manifold and mountain pass theorem, the existence\nof at least four distinct solutions is obtained....
In this paper, we used an interpolation function with strong trigonometric\ncomponents to derive a numerical integrator that can be used for solving first\norder initial value problems in ordinary differential equation. This numerical\nintegrator has been tested for desirable qualities like stability, convergence and\nconsistency. The discrete models have been used for a numerical experiment\nwhich makes us conclude that the schemes are suitable for the solution of first\norder ordinary differential equation....
Finding that in the formula of expansion of a function�����....
The mixed solutions of the derivative nonlinear Schrodinger equation from\nthe trivial seed (zero solution) are derived by using the determinant representation.\nBy adjusting the interaction and degeneracy of mixed solutions, it\nis possible to obtain different types of solutions: phase solutions, breather solutions,\nphase-breather solutions and rogue waves....
Loading....