IEEE

Separable-variable solutions of the wave equation from a general type of solutions of paraxial wave equation

Abstract: New separable-variable solutions of the 3D scalar wave equation are suggested on the basis of recently introduced new solutions of the 1D paraxial wave equation.
INSPIRE

Four-body bound states from the Schrodinger equation with separable potentials

The coupled, two-variable integral equations that determine the four-body bound state, when the interactions are represented by separable potentials, are derived from the Schrödinger equation instead ...
Scientific Research Publishing

Variable Separation and Exact Solutions for the Kadomtsev-Petviashvili Equation ()

1 School of Science, Southwest University of Science and Technology, Mianyang, China. 2 School of Mathematics and Information Sciences, Guangzhou University, Guangzhou, China. This means that the two ...
Scientific Research Publishing

S. L. Zhang, X. N. Zhu, Y. M. Wang and S. Y. Lou, “Extension of Variable Separable Solutions for Nonlinear Evolution Equations,” Communications in Theoretial Physics, Vol ...

ABSTRACT: In this work, starting from the (G'/G)-expansion method and a variable separation method, a new non-traveling wave general solutions of the (2+1)-dimensional breaking soliton system are ...
INSPIRE

General Exact Solution of Einstein Field Equations for Diagonal, Vacuum, Separable Metrics

In this article we find the general, exact solution for the gravitational field equations for diagonal, vacuum, separable metrics. These are metrics each of whose terms can be separated into functions ...
JSTOR Daily

A Direct Method for the Discrete Solution of Separable Elliptic Equations

This is a preview. Log in through your library . SIAM Journal on Numerical Analysis contains research articles on the development and analysis of numerical methods ...