Some constructive applications of $Λ^{2}$-representations to integration of PDEs

A. Popov; S. Zadadaev

ArticleOriginal scientific text

Title

Some constructive applications of $Λ^{2}$ -representations to integration of PDEs

Authors ¹, ¹

Affiliations

Chair of Mathematics, Department of Physics, Moscow State University, Moscow, 119899, Russia

Abstract

Two new applications of

Λ^{2}

-representations of PDEs are presented: 1. Geometric algorithms for numerical integration of PDEs by constructing planimetric discrete nets on the Lobachevsky plane

Λ^{2}

. 2. Employing

Λ^{2}

-representations for the spectral-evolutionary problem for nonlinear PDEs within the inverse scattering problem method.

Keywords

ENG

discrete net,

Λ^{2}

-representations of PDEs, Lobachevsky (hyperbolic) geometry, pseudospherical metric

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Title

Some constructive applications of Λ2-representations to integration of PDEs

Affiliations

Abstract

Keywords

Bibliography

Some constructive applications of $Λ^{2}$ -representations to integration of PDEs