We propose an accurate non numerical solution of the Fisher Equation (FE), capable of reproducing the known analytical solutions and those obtained from a numerical analysis. The form we propose is ...

1 College of Economics, Shanghai University, Shanghai, China. 2 School of Economics & Management, Tongji University, Shanghai, China. The Duffing equation is a non-linear second-order differential ...

Max Planck Institute for the Structure and Dynamics of Matter and Center for Free-Electron Laser Science, Luruper Chaussee 149, Hamburg 22761, Germany The Hamburg Center for Ultrafast Imaging, Luruper ...

Description: I am implementing a Physics-Informed Neural Network (PINN) to solve the 1D wave equation and trying to compare the PINN’s predictions to the exact solution. However, I am unsure if the ...

This report presents the analytical solution of the Schrödinger equation and its corresponding wave function for the neutral helium, or helium-like atoms and the review of its energy levels based on ...

The analytical solution of Hopf equation can be determined by method of characteristics: where, $g$ is the continuous function. The overturning effect at which $u_{x ...

Abstract: In this paper, we derive exact traveling wave Solut-ions of (2+1) dimensional BKK equation by a presented method. The method appears to be efficient in seeking exact solutions of no-nlinear ...

Abstract: The exact solution of the Riccati-type approximate quaternion equation has made it possible to solve the problem of determining the quaternion of orientation of a rigid body for an arbitrary ...