Geometry of distributions and F-Gordon equation

Geometry of Distributions and F − Gordon equation

In this paper we describe the geometry of distributions by their symmetries, and present a simplified proof of the Frobenius theorem and some related corollaries. Then, we study the geometry of solutions of F−Gordon equation; A PDE which appears in differential geometry and relativistic field theory.

The Hyperbolic Geometry of the Sinh - Gordon Equation Preprint

This preliminary report studies immersed surfaces of constant mean curvature in H through their adjusted Gauss maps (as harmonic maps in S) and their adjusted frames in SU(2). Lawson’s correspondence between Euclidean CMC surfaces and their hyperbolic cousins is interpreted here under a different perspective: the equivalence of their Weierstrass representations (normalized potentials). This wor...

Generalized solution of Sine-Gordon equation

In this paper, we are interested to study the Sine-Gordon equation in generalized functions theory introduced by Colombeau, in the first we give result of existence and uniqueness of generalized solution with initial data are distributions (elements of the Colombeau algebra). Then we study the association concept with the classical solution.

WAVELET SOLUTIONS OF THE KLEIN-GORDON EQUATION

B-SPLINE COLLOCATION APPROACH FOR SOLUTION OF KLEIN-GORDON EQUATION

We develope a numerical method based on B-spline collocation method to solve linear Klein-Gordon equation. The proposed scheme is unconditionally stable. The results of numerical experiments have been compared with the exact solution to show the efficiency of the method computationally. Easy and economical implementation is the strength of this approach.